scientific article; zbMATH DE number 3186598
From MaRDI portal
Publication:5722857
zbMath0114.40801MaRDI QIDQ5722857
S. Woinowsky-Krieger, S. Timoshenko
Publication date: 1963
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Related Items
A new method for exactly solving the bending problem for a hingedly supported plate under the action of a piezoelectric actuator, Analysis of composite plates using moving least squares differential quadrature method, Mono-dimensional formulation of axial-symmetric spherical shells and characterization of the linear static behaviour, A modified solution for the free vibration analysis of moderately thick orthotropic rectangular plates with general boundary conditions, internal line supports and resting on elastic foundation, Swelling and instability of a gel annulus, Tensionless contact of a finite circular plate, Axisymmetric bending of strain gradient elastic circular thin plates, The regular hybrid boundary node method in the bending analysis of thin plate structures subjected to a concentrated load, Failure mechanism of FRC slabs on non-local ground, Dynamic impact on a frozen support caused by natural and quasinatural oscillations of an ice plate, Symmetry aspects in stability investigations for thin membranes, On a consistent dynamic finite-strain plate theory and its linearization, On a new method of solving a class of problems of applied mechanics using \(R\)-functions, weighted discrepancies, and least squares, Solution of some plate bending problems using the boundary element method, Solution of the bending problem of a circular plate with a free edge by using paired equations, Thermomechanics of shells undergoing phase transition, Sixty years of solid mechanics, Application of the finite element method to the vibration of a rectangular plate with elastic support at the boundary, Adhesion and delamination boundary conditions for elastic plates with arbitrary contact shape, On new symplectic superposition method for exact bending solutions of rectangular cantilever thin plates, Large deflection of a rectangular magnetoelectroelastic thin plate, Elastodynamic analysis of a thin layer bonded on a visco-elastic medium under combined in-plane and lateral pulse loads, Exact bending solutions of orthotropic rectangular cantilever thin plates subjected to arbitrary loads, Spline-approximation solution of stress-strain problems for beveled cylindrical shells, Wave processes in nanostructures formed by nanotube arrays or nanosize crystals, Modeling of forming of wing panels of the SSJ-100 aircraft, Uniform analysis of a stabilized hybrid finite element method for Reissner-Mindlin plates, Natural vibrations of anisotropic plates with several internal line hinges, Numerical performance of parallel group explicit solvers for the solution of fourth order elliptic equations, Topological sensitivity derivative and finite topology modifications: application to optimization of plates in bending, On topology optimization of linear and nonlinear plate problems, Global minimum cost design of a welded square stiffened plate supported at four corners, Analogies between Kirchhoff plates and Saint-Venant beams under torsion, Static analysis of rectangular thick plates resting on two-parameter elastic boundary strips, A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory, Finite element analysis of elasto-plastic plate bending problems using transition rectangular plate elements, On the linearization of the equations of motion of a rotating disk, Asymptotic splitting in the three-dimensional problem of elasticity for non-homogeneous piezoelectric plates, Physical variational principle and thin plate theory in electro-magneto-elastic analysis, Stiffness and buckling optimization of thin plates with BEM, Local stress distribution and yielding of steel sheets due to concentrated transverse loads, Analytical solution for bending problem of moderately thick composite annular sector plates with general boundary conditions and loadings using multi-term extended Kantorovich method, Analogies between Kirchhoff plates and Saint-Venant beams under flexure, Comparison of Reissner, Mindlin and Reddy plate models with exact three-dimensional solution for simply supported isotropic and transverse inextensible rectangular plate, On the elastostatics of thin periodic plates with large deflections, Interface crack between isotropic Kirchhoff plates, Static analysis of functionally graded doubly-curved shells and panels of revolution, On the simple and mixed first-order theories for functionally graded plates resting on elastic foundations, Exact solutions for free flexural vibration of Lévy-type rectangular thick plates via third-order shear deformation plate theory, Analytical behavior prediction for skewed thick plates on elastic foundation, Nonlinear vibration analysis of isotropic cantilever plate with viscoelastic laminate, Continuous piecewise linear finite elements for the Kirchhoff-Love plate equation, On a new symplectic geometry method for exact bending solutions of orthotropic rectangular plates with two opposite sides clamped, B-spline collocation for solution of two-point boundary value problems, A fluid-structure interaction model of insect flight with flexible wings, Advanced simulation of models defined in plate geometries: 3D solutions with 2D computational complexity, Non-polynomial sextic spline approach for the solution of fourth-order boundary value problems, Generalization of the twist-Kirchhoff theory of plate elements to arbitrary quadrilaterals and assessment of convergence, Meshfree particle methods for thin plates, Analysis of post buckling behavior of circular plates with non-concentric hole using the Rayleigh-Ritz method, Application of the fundamental solutions by ganowicz in a static analysis of Reissner's plates by the boundary element method, An integral-equation formulation of nonlinear deformation in a stack of buffered plates, Analysis of plates and laminates using the natural neighbour radial point interpolation method, A mixed method for free and forced vibration of rectangular plates, Dual reciprocity hybrid radial boundary node method for the analysis of Kirchhoff plates, Identities for the fundamental solution of thin plate bending problems and the nonuniqueness of the hypersingular BIE solution for multi-connected domains, The MLPG analyses of large deflections of magnetoelectroelastic plates, A hierarchic family of isogeometric shell finite elements, Mathematical modeling of three-dimensional fields of transverse dynamic displacements of thick elastic plates, Variational principles and optimal solutions of the inverse problems of creep bending of plates, Unified 2D continuous and reduced order modeling of thermomechanically coupled laminated plate for nonlinear vibrations, Second-order two-scale method for bending behavior analysis of composite plate with 3-D periodic configuration and its approximation, An interface finite element for the simulation of localized membrane-bending deformation in shells, Smoothed finite element method implemented in a resultant eight-node solid-shell element for geometrical linear analysis, Thermo-mechanical behavior of functionally graded circular sector plates, Second-order set-valued differential equations with boundary conditions, Mechanical aspects of internal pressure, On the behavior of an eye encircled by a scleral buckle, Two-dimensional elastica model for describing the flexural behavior of single-walled carbon nanotubes, Exact-approximate boundary controllability of the thermoelastic plate with a curved middle surface, Nonclassical models of the theory of plates and shells, Flexural gravity wave scattering by a nearly vertical porous wall, Resonances for Euler-Bernoulli operator on the half-line, Dynamic analysis of axially moving orthotropic plates: integral transform solution, Simplified approach of free vibration analysis of plates supported in vicinity of the corners by BEM, An asymptotic theory of thin micropolar plates, The fundamental solution for shallow circular cylindrical shells. I: Derivations, The vibration and dynamic stability of viscoelastic plates, On the axial dispersion induced by vibrations of a flexible tube, Green's functions for an anisotropic thin plate with a crack or an anticrack, A Hermite DRK interpolation-based collocation method for the analyses of Bernoulli-Euler beams and Kirchhoff-Love plates, Indentation of an elastic half space with material properties varying with depth, On new symplectic elasticity approach for exact free vibration solutions of rectangular Kirchhoff plates, A new analytical model for the elastic-plastic behaviour of spot welded joints subjected to orthogonal load, Flexure analysis of unsymmetric orthotropic beams with an interlayer, Effect of the stiffness and inertia of a rib reinforcement on localized bending waves in semi-infinite strips, Integration of absolute nodal elements into multibody system, Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems, Nonlinear bending of asymmetrically layered anisotropic rectangular plates, Methodic errors of microelectromechanical pressure sensors in isotropic modeling of the elastic properties of single-crystal silicon, Modelling junctions of thin plates., Local Petrov-Galerkin method for a thin plate, Shape bifurcation of an elastic wafer due to surface stress, An analytical solution to large deflection equations of simply supported rectangular hyperboloidal shallow shells of orthotropic composites, General formulation of \(C^ 0\) bending models based on the rational \(w- \theta\) constraint, Deflection of sandwich plates in terms of corresponding Kirchhoff plate solutions, Analysis of stability of elastic plates with initial imperfections, On implementation of a nonlinear four node shell finite element for thin multilayered elastic shells, Axisymmetric contact of anisotropic shells of rotation with rigid and elastic foundations, Numerical implementation of the spline-collocation method for bending of rectangular plates, Variational formulations and general boundary conditions for sixth-order boundary value problems of gradient-elastic Kirchhoff plates, New analytic bending solutions of rectangular thin plates with a corner point-supported and its adjacent corner free, Nonlinear bending analysis of nonlocal nanoplates with general shapes and boundary conditions by the boundary-only method, Equilibrium of elastic rectangle: Mathieu-Inglis-Pickett solution revisited, Analysis of thin plates by the element-free Galerkin method, Surface viscoelasticity and effective properties of thin-walled structures at the nanoscale, Quadrilateral finite elements for analysis of thick and thin plates, An explicit hybrid-stabilized 9-node Lagrangian shell element, A shear deformable plate element with an exact thin limit, Dynamic stability of a thin film bonded to a compliant substrate subjected to a step load with damping, Biometrics, biomathematics and the morphometric synthesis, Semi-analytical finite strip transfer matrix method for buckling analysis of rectangular thin plates, Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis, Large deflection analysis of shear deformable radially functionally graded sector plates on two-parameter elastic foundations, Implicit/explicit elastodynamics of isotropic and anisotropic plates and shells using a solid-like shell element, Higher order refined computational models for the stability analysis of FGM plates -- analytical solutions, Legendre-Galerkin spectral-element method for the biharmonic equations and its applications, An extended beam theory for smart material applications. I: Extended beam models, duality theory, and finite element simulations, A new boundary integral formulation for bending of anisotropic plates, Static and dynamic analyses of nanoscale rectangular plates incorporating surface energy, The equilibrium of corrugated plates and shells, Analysis and explicit solvability of degenerate tensorial problems, Three-dimensional elasticity solutions for rectangular orthotropic plates, Material and structural instabilities of single-wall carbon nanotubes, Exact bending analysis of fully clamped rectangular thin plates subjected to arbitrary loads by new symplectic approach, Higher-order hybrid stress triangular Mindlin plate element, Bulge test method for measuring the hyperelastic parameters of soft membranes, A semi-analytical method for stability analysis of milling thin-walled plate, Parametric study of the distribution of the tensile stresses in pavilion structures constituted by four sectors of barrel shells, Comparisons of methods for solving static deflections of a thin annular plate, An analysis for the elasto-plastic problem of the moderately thick plate using the meshless local Petrov-Galerkin method, Sinc-Galerkin solution to the clamped plate eigenvalue problem, A parameter-free variational coupling approach for trimmed isogeometric thin shells, Penalty and duality methods for solving problems of small elastoplastic deflections of plates, Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells, Solving biharmonic problems with scattered-point discretization using indirect radial-basis-function networks, A decomposition method for nonlinear bending of anisotropic thin plates, An analytical solution for bending of axisymmetric circular/annular plates resting on a variable elastic foundation, Variational analysis of gradient elastic flexural plates under static loading, Non-axisymmetric warping of a heavy circular plate on a flexible ring support, Boundary element-linear complementary equation solution to polygonial unilaterally simply supported plates, Plate bending boundary element formulation considering variable thickness, A two-step, two-field hybrid method for the static and dynamic analysis of substructure problems with conforming and non-conforming interfaces, Bifurcation mechanism underlying echelon-mode formation, Optimal error estimates and superconvergence of an ultra weak discontinuous Galerkin method for fourth-order boundary-value problems, Bending of a rectangular plate with rotationally restrained edges under a concentrated force, An efficient FSI coupling strategy between smoothed particle hydrodynamics and finite element methods, Two-dimensional generalized finite integral transform method for new analytic bending solutions of orthotropic rectangular thin foundation plates, Analytical solution for strain gradient elastic Kirchhoff rectangular plates under transverse static loading, Stability and low-frequency oscillations of thin shells with entirely or partially negative Gaussian curvature, Analysis of the elastic large deflection behavior for metal plates under nonuniformly distributed lateral pressure with in-plane loads, A method for solving an inverse biharmonic problem, Chaotic [motion and bifurcation for a simply-supported thermo-mechanical coupling circular plate with variable thickness], On the gradient strain elasticity theory of plates, Governing equations of envelope surface created by nearly bichromatic waves propagating on an elastic plate and their stability, A review and study on Ritz method admissible functions with emphasis on buckling and free vibration of isotropic and anisotropic beams and plates, Isogeometric Galerkin in rectangular plate bending problem based on UI approach, Nonlinear elasticity of monolayer hexagonal crystals: theory and application to circular bulge test, Exact solution for transient bending of a circular plate integrated with piezoelectric layers, Optimal control problem for the equation of vibrations of an elastic plate, Bending of circular nanoplates with consideration of surface effects, An efficient flat shell element, Stability of the parametric vibrations of a shell in the form of a hyperbolic paraboloid, The Ritz method for boundary problems with essential conditions as constraints, Improved numerical integration for locking treatment in isogeometric structural elements. II: Plates and shells, An extended isogeometric thin shell analysis based on Kirchhoff-love theory, Isogeometric analysis for second order partial differential equations on surfaces, Corner restrictions and their application to bending plate analyses by the boundary element method, Elementary applications of MATHEMATICA to the solution of elasticity problems by the finite element method, Boundary conditions at the edge of a thin or thick plate bonded to an elastic support, Fourier series for polygonal plate bending: A very large plate element, Modes of the tectorial membrane, transversal eigenfunctions, and the origin of the outer hair cell oscillations, Vibration studies on moderately thick double-curved elliptic shallow shells, Improving an accurate thin plate element, The general fundamental solution of the sixth-order Reissner and Mindlin plate bending models revisited, Non-linear mathematical model of viscoelastic thin plates with its applications, A general purpose finite element system code via computationally effective hybrid formulation, The method of fundamental solutions for the numerical solution of the biharmonic equation, Explicit constraint approximation forms in structural optimization. I: Analyses and projections, A triangular shear-flexible finite element for moderately thick laminated composite plates, Penalty resolution of the Babushka circle paradox, Unbounded contact between a circular plate and an elastic half-space, Elastic surfaces and theories of shells, Integral equation solutions for simply supported polygonal plates, Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity, An alternative domain/boundary element technique for analyzing plates on two-parameter elastic foundations, Buckling of triangular plates with elastic edge constraints., Analysis of thin plates by the local boundary integral equation (LBIE) method., Local error estimation for dimensionally reduced models of elliptic boundary value problems., Meshless local boundary integral equation method for simply supported and clamped plates resting on elastic foundation., Elasticity solutions for a transversely isotropic functionally graded circular plate subject to an axisymmetric transverse load \(qr^k\), Static, stability and dynamic analysis of gradient elastic flexural Kirchhoff plates, Closed-form structural stress and stress intensity factor solutions for spot welds under various types of loading conditions, A new Kirchhoff plate model based on a modified couple stress theory, Wave propagation in a sandwich structure, Analysis of energy release rate and bending-to-stretching behavior in the shaft-loaded blister test, Nonlinear formulations of a four-node quasi-conforming shell element, Nonlinear vibrations of viscoelastic cylindrical shells taking into account shear deformation and rotatory inertia, Developments in the application of the generalized finite element method to thick shell problems, On the finite integral transform method for exact bending solutions of fully clamped orthotropic rectangular thin plates, Effective models in the refined analysis of the strain state for three-layer non-axisymmetric cylindrical shells, Construction of the exact solution of the ring-plate problem by solving functional equations, A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems, The linear-wave response of a periodic array of floating elastic plates, Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, \(hp\)-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation, Experimental-theoretical analysis of local stresses in box girders of trapezoidal cross section, Transformation elastodynamics and cloaking for flexural waves, An equilibrium finite element method for fourth order elliptic equations with variable coefficients, A new class of variational problems arising in the modeling of elastic multi-structures, The extensible uplifted strip, Prismatic folded plate analysis using finite strip-elements, New rectangular plate elements based on twist-Kirchhoff theory, Rotation-free isogeometric thin shell analysis using PHT-splines, Trapped waves in thin elastic plates, On the simple and mixed first-order theories for plates resting on elastic foundations, Some remarks on Trefftz type approximations, Generalized power-law exponent based shear deformation theory for free vibration of functionally graded beams, Isogeometric shell analysis with NURBS compatible subdivision surfaces, A kind of bivariate spline space over rectangular partition and pure bending of thin plate, Generalized Taylor polynomials for axisymmetric plates and shells, Minimal energy surfaces using parametric splines, Stress analysis of a novice windsurfer sail by finite element analysis, Nonstationary transversal vibrations of thermoelastic web with a constant velocity motion, A hybrid brick element with rotational degrees of freedom, The dome and the ring: verification of an old mathematical model for the design of a stiffened shell roof, Convergent meshfree approximation schemes of arbitrary order and smoothness, Large amplitude vibration of heated corrugated circular plates with shallow sinusoidal corrugations, Working vacations queueing model with multiple types of server breakdowns A new hybrid-Trefftz triangular and quadrilateral plate elements, Accurate bending analysis of rectangular plates with two adjacent edges free and the others clamped or simply supported based on new symplectic approach, BEM based on discontinuous solutions in the theory of Kirchhoff plates on an elastic foundation, Comparison of discrete singular convolution and generalized differential quadrature for the vibration analysis of rectangular plates, Reproducing kernel element method. III: Generalized enrichment and applications, Locking-free stabilized conforming nodal integration for meshfree Mindlin--Reissner plate formulation, An extended meshfree method for boundary value problems, Mechancial responses of elastic layers with through-the-thickness variation in eigenstrain, Solid circular plate clamped along two antipodal edge arcs and deflected by a central transverse concentrated force, Anisotropic buckling patterns in spheroidal film/substrate systems and their implications in some natural and biological systems, On the instability of an axially moving elastic plate, Analytical and experimental study of a circular membrane in Hertzian contact with a rigid substrate, A family of \(C^{0}\) finite elements for Kirchhoff plates. II: Numerical results, Integration modified wavelet neural networks for solving thin plate bending problem, Wrinkle patterns of anisotropic crystal films on viscoelastic substrates, Elasticity solutions for a uniformly loaded rectangular plate of functionally graded materials with two opposite edges simply supported, Exact analytical solutions for bending of rectangular plates with a partial internal line support, A symmetric boundary element model for the analysis of Kirchhoff plates, On the existence of weak solutions of anisotropic generally restrained plates, Stress-strain state of the alveolar crest under the primary strut of a subperiosteal implant, Size-dependent vibration of a microplate under the action of a moving load based on the modified couple stress theory, Nonlinear stability-analysis of shell and contact-problems including branch-switching, Solutions of a twelfth order thick plate theory, Optimal twist vectors as a tool for interpolating a network of curves with a minimum energy surface, Green's functions for continuously supported plates, Application of symbolic algebra to the analysis of plates on variable elastic foundation, A comparative analysis of Mindlin and Kirchhoff bending solutions for nonlinearly tapered annular plate with free edges, Nonlinear dynamic analysis of circular plates with varying thickness, Elastic stability of inhomogeneous thin plates on an elastic foundation, Static analysis of point-supported super-elliptical plates, Direct approach-based analysis of plates composed of functionally graded materials, Wrinkling of a charged elastic film on a viscous layer, Finite element incremental analysis of elastoplastic plate bending, A priori identification of shear locking and stiffening in triangular Mindlin elements, Basis functions for the buckling of plates, Membrane-type eigenmotions of Mindlin plates, A free rectangular plate on elastic foundation, Nonlinear bendings for the orthotropic rectangular thin plates under various supports, Note on the large deflection of a circular plate under a concentrated load, On the effective stiffnesses of corrugated plates of various geometries, Comparison of three meshless methods for 2D harmonic and biharmonic problems, Application of the radial integration method for the buckling analysis of plates with shear deformation, Vibration of quadrilateral plates, Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory, Large deformation solution of stiffened plates by a mixed finite element method, On the modified Castigliano theorem, Some applications of the singular perturbation method to the bending problems of thin plates and shells, Elastic buckling of isotropic triangular flat plates by finite elements, Die Singularitätenfunktionen der gespannten Platte und der Kreiszylinderschale, Overhauser elements in boundary element analysis, Particle modelling of an elastic arch in three dimensions, The dynamic computation of closed cylindrical shell under impact load, Vibrations of rectangular plates supported at corner points, On the method of reciprocal theorem to find solutions of the plane problems of elasticity, Some problems for dynamic computation of closed cylindrical shells due to axial impact loads, Nonlinear bending of symmetrically layered anisotropic rectangular plates, On the use of hierarchical models in engineering analysis, Application of reciprocal theorem for calculating the transverse displacement equations of the thin elastic circular plates, The bending, stability and vibrations of rectangular plates with free edges on elastic foundations, Nonlinear axisymmetric bending and stability of thin spherical shallow shell with variable thickness under uniformly distributed loads, An exact solution for transversely isotropic, simply supported and layered rectangular plates, A cohesive approach to thin-shell fracture and fragmentation, Novel quadrilateral elements based on explicit Hermite polynomials for bending of Kirchhoff-Love plates, A simple four-node quadrilateral finite element for plates, Shape control of plates with piezo actuators and collocated position/rate sensor, Small-scale indentation of an elastic coated half-space: the effect of compliant substrate, Static and free-vibration analyses of cracks in thin-shell structures based on an isogeometric-meshfree coupling approach, Static and free vibrational analysis of beams and plates by differential quadrature method, Minimal assumed moments and optimal local coordinates for plate elements based upon the complementary energy functional, Generation of interpolation surfaces with the least strain energy using dynamic programming, The hypersingular integral equation for the bending moments \(m_{xx}\), \(m_{xy}\) and \(m_{yy}\) of the Kirchhoff plate, Simple and effective elements based upon Timoshenko-Mindlin shell theory, On the classical theory of plates, Analysis of simply supported and clamped Reissner's plates on Pasternak-type foundation by the boundary element method, The local Kansa's method for solving Berger equation, Analysis of fluid storage tanks including foundation-superstructure interaction using differential quadrature method, On the evaluation of the stresses in the BEM for Reissner plate-bending problems, Improved hybrid boundary solution for shell elements, On the optimal shape parameters of distinct versions of RBF meshless methods for the bending analysis of plates, Effect of shear deformation on the buckling parameter of perforated and non-perforated plates studied using the boundary element method, The method of fundamental solutions for solving non-linear berger equation of thin elastic plate, Developments of the mixed grid isogeometric Reissner-Mindlin shell: serendipity basis and modified reduced quadrature, Bending solution of a rectangular plate with one edge built-in and one corner point supported subjected to uniform load, A novel, single-layer model for composite plates using local-global approach, On the coupling of aerodynamic and structural design, Snap-buckling of dished shallow shells under uniform loads, Triangular elements for Reissner-Mindlin plate, Supplement to the paper ``On the thermoelasticity problem of non-uniform plates, Differential cubature method: A solution technique for Kirchhoff plates of arbitrary shape, An eight-node curvilinear differential quadrature formulation for Reissner/Mindlin plates, A finite volume method for analysing the bending deformation of thick and thin plates, Lax-Phillips theory for sound waves scattering by thin infinite elastic planes, Stability of smooth and ribbed shells of revolution in a nonuniform stress-strain state. (Survey), Energetic finite differences with arbitrary meshes applied to plate-bending problems, Analysis of bending, vibration and stability for thin plate on elastic foundation by the multivariable spline element method, Locking and boundary layer in hierarchical models for thin elastic structures, A general expression of magnetic force for soft ferromagnetic plates in complex magnetic fields, Three-dimensional analysis on plates, A note on the convergence of finite element approximations for problems formulated in curvilinear coordinate systems, A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles, Chaotic and bifurcation dynamics of a simply-supported thermo-elastic circular plate with variable thickness in large deflection., Bi-expansion approximation of the Bessel functions applied to analytical integration based BEM for Reissner plates., Generalized mixed variational principles and solutions of ill-conditioned problems in computational mechanics. II: Shear locking., Plate bending analysis using the classical or the Reissner-Mindlin models., Spline-based differential quadrature for fourth order differential equations and its application to Kirchhoff plates, A BEM formulation for inhomogeneous potential problems by particular integrals, Exact finite element method, Navier solution for the equilibrium problems of anisotropic skew thin plate with variable thickness in nonlinear theories, A boundary integral equation approach for the calculation of gradients and higher order derivatives in solid mechanics problems, Application of complex path-independent integrals to problems of bending of thin elastic plates, Axially symmetric deformations and stability of a geometrically nonlinear circular plate subjected to multiparametrical static loading, An exact solution for the bending of point-supported orthotropic rectangular thin plates, An asymptotic theory of thin hyperelastic plates. II: Incompressible solids and an application of the general theory, Bifurcation analysis of symmetric structures using block-diagonalization, Four-node axisymmetric element based upon the Hellinger-Reissner functional, On the use of Lagrange multiplier compatible modes for controlling accuracy and stability of mixed shell finite elements, A new \(p\)-version general plate finite element, An exact element method for bending of nonhomogeneous thin plates, Elastohydrodynamic response of an ice sheet to forced sub-surface uplift, General solution for large deflection problems of nonhomogeneous circular plates on elastic foundation, Model B-I for macro rectangular element and problems of influence surface for plate structures, A method using the reciprocal theorem to solve the bending of thin elastic semicircular plates, On a finite element scheme based on the discrete Kirchhoff assumption, Further studies in the application of the method of constant deflection lines to plate bending problems, On the validity of the finite element analysis of circular arches represented by an assemblage of beam elements, Circular plate on multipoint supports, Numerical solution of some ordinary differential equations occurring in plate deflection theory, A general nonlinear viscoelastic plate theory and its application to floating ice, Thermoelastic stability of laminated orthotropic circular plates, Contact problem of pressing a stamp into an elastic half-plane with a thin reinforcing covering, Hydrodynamic analogy for direct shear force and bending moment evaluation in a plate, The application of the differential transform technique to point source problems of elasticity, Numerical solution of a fourthorder ordinary differential equation, Jet flow around an elastic plate, Some comments on steady, laminar flow through twisted pipes, A rectangular laminated anisotropic shallow thin shell finite element, An indirect method for evaluating certain infinite integrals, Non-linear vibration of a centrally clamped rotating disc, Discrete methods for boundary value problems with applications in plate deflection theory, A justification of a nonlinear model in plate theory, A class of simple and efficient degenerated shell elements - Analysis of global spurious-mode filtering, Identification of flexural rigidity in a dynamic plate model, Effect of anisotropy of plates on the contact region resting on tensionless elastic foundation, Approaches to the numerical solution of linear and nonlinear problems in shell theory in classical and refined formulations, General axisymmetric problems for shells of revolution and analyses of integral equation, Boundary element analysis of foundation plates in buildings, Axisymmetric bending for thick laminated circular plate under a concentrated load, Analytical solution for cylindrical thin shells with normally intersecting nozzles due to external moments on the ends of shells, Derivation and analytical investigation of three direct boundary integral equations for the fundamental biharmonic problem, Extrapolated fields in the formulation of the assumed strain elements. II: Three-dimensional problems, Axisymmetric bending of functionally graded circular and annular plates, A computational approach for free vibration of non-uniform flexural-shear plates, A boundary element method applied to the elastostatic bending problem of beam-stiffened plates, Application of dual reciprocity method to plates and shells, Multiple reciprocity method for harmonic vibration of thin elastic plates, Derivation of the boundary conditions for the equation of the vibrations of a thin plate by the method of generalized functions, Confidence regions for solutions of applied boundary value problems, A feature space for edgels in images with landmarks, A mixed 3D finite element for modelling thick plates, Chaotic and bifurcation dynamics for a simply supported rectangular plate of the thermo-mechanical coupling in large deflection., Some nonsingular direct formulations of boundary integral equations for thin elastic plate bending analysis, Analysis of fluid storage tanks including foundation-superstructure interaction, Solution of sector plate by Fourier-Bessel series, A triangular bending element based on an energy-orthogonal free formulation, The sufficient conditions for an extremum in problems of optimizing the shapes of elastic plates, On the Reissner theory of bending of elastic plates, Elastic behavior of uniformly loaded circular corrugated plate with sine- shaped shallow waves in large deflection, A modified representation of transverse shear in \(C^ 0\) quadrilateral plate elements, A perturbation solution in the nonlinear theory of circular plates, Perturbation method for thin plate bending problems, Energy theorems for solving equations of deflections, Some applications of perturbation method in thin plate bending problems, Flexural analysis of laminated composites using refined higher-order \(C^ o\) plate bending elements, Bending of a cantilever rectangular plate loaded discontinuously, New improved hourglass control for bilinear and trilinear elements in anisotropic linear elasticity, The bending stability and vibrations of cantilever rectangular plates, Bending of thick plates with a concentrated load, Numerical methods for unilateral problems, A sixteen node shell element with a matrix stabilization scheme, Free vibration and static analysis of general plate by spline finite strip, Initial-value analysis of continuous orthotropic plates, Bending problem of rectangular plates of unidirectional nonhomogeneity and variable thickness with two opposite edges simply supported under arbitrary distributed loads, Theory of fast tectonic waves, Axisymmetrically loaded thin circular plate in adhesive contact with an elastic half-space, Analysis of circular plate - elastic half-space interaction using an energy approach, Estimation of flexural rigidity in a Kirchhoff plate model, The Schrödinger equation in theory of plates and shells with orthorhombic anisotropy, A new approach for the bending problem of shallow shell by the boundary element method, A Green function method for large deflection analysis of plates, Nonlinear bending and vibration of symmetrically laminated orthotropic elliptical plate with simply supported edge, The effect of thickness on stress distribution in the region of intersection between two cylindrical shells with orthogonal axes, The \(C^ 0\) shell plate and beam elements freed from their deficiencies, An integral equation analysis of inelastic shells, Estimation of higher-order damping terms in linear plate models, Green's function for the bending of a plate on an elastic half-space, Stresses in a long hollow cylinder subjected to a band of uniform pressure on the outer surface, Effect of internal stress on elastic stiffness, A critical survey of the 9-node degenerated shell element with special emphasis on thin shell application and reduced integration, Numerical analysis of nonsymmetric postbuckling behaviour of elastic annular plates, A finite element lumped mass scheme for solving eigenvalue problems of circular arches, A justification of the von Kármán equations, Interaction of a cylindrical cavity with a periodically supported thin shell liner, Analysis of certain unilateral problems in von Kármán plate theory by a penalty method. I. A variational principle with penalty, Analysis of certain unilateral problems in von Kármán plate theory by a penalty method. II. Approximation and numerical analysis, Application of the Green's function method to thin elastic polygonal plates, Nonlinear finite element analysis of shells. I. Three-dimensional shells, Minimization approach to limit solutions of plates, Some elementary solutions of the heat equation and related equations, Asymptotic analysis of wave problems for a cylindrical shell, Incremental analysis of axisymmetric shallow shells with varying strain- displacement equations, A stabilization matrix for the bilinear Mindlin plate element, Nonlinear finite element analysis of shells. II. Two-dimensional shells, Degeneration of a compound plate system to a membrane-plate system: A singularly perturbed transmission problem, Numerical analysis of thick plates, A new numerical method for the analysis of anisotropic thin-plate bending problems, Analysis of laminated shells with laminated stiffeners using rectangular shell finite elements, Bending of cantilever rectangular plate with concentrated load, Bending of rectangular flat slabs supported by four columns, Accuracy of some finite element models for arch problems, Unsymmetrical bending problems for the annular and circular thin plates under various supporting conditions. I, Applications of the reciprocal theorem to solving the equations of the deflection surface of the rectangular plates with various edge conditions, Boundary value problems occurring in plate deflection theory, Resultant fields for mixed plate bending elements, Estimation of elastic parameters in a nonlinear elliptic model of a plate, Hygrothermoelastic analysis of anisotropic inhomogeneous and laminated plates, A 9-node mixed shell element based on the Hu-Washizu principle, Harmonic generation and parametric mixing in wedge acoustic waves, Mixed formulations for plate bending elements, A finite element scheme based on the simplified Reissner equations for shells of revolution, Isotropicalized spline integral equation method for the analysis of anisotropic plates, An analytical method for a mixed boundary vlaue problem of circular plates under arbitrary lateral loads, The general solution for axial symmetrical bending of nonhomogeneous circular plates resting on an elastic foundation, Constraining surface interpolations using elastic plate bending solutions with applications to geologic folding, Shear deformation effect in the dynamic analysis of plates stiffened by parallel beams, Coupled fluid-structure solver: the case of shock wave impact on monolithic and composite material plates, A load distribution model for hypoid gears using ease-off topography and shell theory, A BEM-based meshless method for plates on biparametric elastic foundation with internal supports, A \(C^0\) discontinuous Galerkin formulation for Kirchhoff plates, Free vibration analysis of plates using least-square-based finite difference method, Nonlinear stability analysis of thin doubly curved orthotropic shallow shells by the differential quadrature method, Phenomenological invariant-based finite-element model for geometrically nonlinear analysis of thin shells, Winkler plate bending problems by a truly boundary-only boundary particle method, Exact solutions for variable-thickness inhomogeneous elastic plates under various boundary conditions, Axisymmetric bending analysis of thick functionally graded circular plates using fourth-order shear deformation theory, Indentation-induced subsurface tunneling cracks as a means for evaluating fracture toughness of brittle coatings, Explicit algorithms for the nonlinear dynamics of shells, Contact between an elastically supported circular plate and a rigid indenter, A four-noded thin-plate bending element using shear constraints - A modified version of Lyons' element, A numerical method for laterally loaded thin plates, A Mindlin element for thick and deep shells, The simply supported rectangular plate: An exact, three dimensional, linear elasticity solution, Bending of corner-supported rectangular plate under concentrated load, A cylindrical tank-foundation-halfspace interaction using an energy approach, The solution of the problem of deflection of an elastic thin plate by the joint action of dynamical lateral pressure, force in central surface and external field on the elastic base, Finite deformations of an area-preserving material, Navier solution for the elastic equilibrium problems of rectangular thin plates with variable thickness in linear and nonlinear theories, Calculations for circular arc type corrugated membranes, Large thermoelastic deflections and stability of simply supported polygonal panels, Spline sectorial elements, The relation between the von Kármán equation for the elastic large deflection problem and the Schrödinger equation for the quantum eigenvalues problem, Thin plate splines with tension, Application of the reciprocal theorem for calculating the natural frequencies of rectangular elastic thin plates, Analysis of bending of composite plates with account for the difference in resistance to tension and compression, An SPH-based fully-Lagrangian meshfree implicit FSI solver with high-order discretization terms, Existence-uniqueness and fixed-point iterative method for general nonlinear fourth-order boundary value problems, A posteriori error estimation for a \(C^1\) virtual element method of Kirchhoff plates, Nonlinear elastic deformation of Mindlin torus, Optimization of a radial point interpolation meshless strategy for strain gradient nanoplates, Analytical modeling of variable thickness cylindrical shallow shells using extended Kantorovich method, Mathematical methods to find optimal control of oscillations of a hinged beam (deterministic case), Simulating thin plate bending problems by a family of two-parameter homogenization functions, Manifold-based isogeometric analysis basis functions with prescribed sharp features, On the forced resonant vibration analysis of functionally graded polymer composite doubly-curved nanoshells reinforced with graphene-nanoplatelets, Finite integral transform method for analytical solutions of static problems of cylindrical shell panels, On the robust solution of an isogeometric discretization of bilaplacian equation by using multigrid methods, Extraction formulas of stress intensity factors for the biharmonic equations containing crack singularities, Numerical solutions of biharmonic equations on non-convex polygonal domains, On a consistent finite-strain plate theory of growth, A hierarchical wavelet method for nonlinear bending of materially and geometrically anisotropic thin plate, Application of buffered probability of exceedance in reliability optimization problems, Chaotic analysis of Kelvin-Voigt viscoelastic plates under combined transverse periodic and white noise excitation: an analytic approach, A quadratic assumed natural strain curved triangular shell element, An unconditionally energy stable scheme for simulating wrinkling phenomena of elastic thin films on a compliant substrate, A higher-order hybrid-mixed harmonic shell-of-revolution element, Meshless methods for shear-deformable beams and plates, The two-level FETI method for static and dynamic plate problems I: An optimal iterative solver for biharmonic systems, Deflection of a thin rectangular plate with free edges under concentrated loads, Splitting of vibration mode in an imperfect submicron circular plate, An efficient quadrature method for vibration analysis of thin elliptical plates with continuous and discontinuous edge conditions, Modeling of elastoplastic behavior of freestanding square thin films under bulge testing, Theoretical analyses and numerical simulation of flexural vibration based on Reddy and modified higher-order plate theories for a transversely isotropic circular plate, On the calibration of size parameters related to non-classical continuum theories using molecular dynamics simulations, Galerkin formulations of isogeometric shell analysis: alleviating locking with Greville quadratures and higher-order elements, Isogeometric Bézier dual mortaring: the Kirchhoff-Love shell problem, An updated Lagrangian framework for isogeometric Kirchhoff-Love thin-shell analysis, A Mindlin shell model based on the corrective smoothed particle method and accuracy implementation of the free boundary, The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem, Micropumps for drug delivery systems: a new semi-linear elliptic boundary-value problem, Port-Hamiltonian formulation and symplectic discretization of plate models. II: Kirchhoff model for thin plates, Hamiltonian system-based new analytic free vibration solutions of cylindrical shell panels, Geometrically nonlinear analysis of thin-shell structures based on an isogeometric-meshfree coupling approach, Optimal spectral approximation of \(2 n\)-order differential operators by mixed isogeometric analysis, A quadrilateral \(\operatorname{G}^1\)-conforming finite element for the Kirchhoff plate model, Kirchhoff-Love shell formulation based on triangular isogeometric analysis, Rotation-free Bernstein-Bézier elements for thin plates and shells -- development and validation, On new buckling solutions of moderately thick rectangular plates by the symplectic superposition method within the Hamiltonian-system framework, The radially nonhomogeneous isotropic spherical shell under a radially varying temperature field, A nonlocal operator method for solving partial differential equations, A complete symplectic approach for a class of partial differential equations arising from the elasticity, Bending and buckling of a circular plate with symmetrically varying mechanical properties, Analysis bending solutions of clamped rectangular thick plate, Whispering-Bloch elastic circuits, Large deflection of magneto-electro-elastic laminated plates, Kirchhoff-Love shell theory based on tangential differential calculus, A Riemannian approach to reduced plate, shell, and rod theories, Singular shear-force states in elementary plate theory, Development of high-order infinite element method for bending analysis of Mindlin-Reissner plates, Weak Dirichlet boundary conditions for trimmed thin isogeometric shells, Parallel direct solver for solving systems of linear equations resulting from finite element method on multi-core desktops and workstations, Harmony search algorithm approach for optimum design of post-tensioned axially symmetric cylindrical reinforced concrete walls, Corner forces experienced by vibrating rectangular plates, A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations, Mathematical modeling of the control of dynamics of thick elastic plates. I. Control under continuous desired state, Efficient algorithms for fourth and sixth-order two-point non-linear boundary value problems using non-polynomial spline approximations on a geometric mesh, The derivation of the equations of moderately thick plates by the method of successive approximations, Shear deformation effect in plates stiffened by parallel beams, On generalized Cosserat-type theories of plates and shells: a short review and bibliography, An effective high order interpolation scheme in BIEM for biharmonic boundary value problems, Green's function for a pre-stressed thin plate on an elastic foundation under axisymmetric loading, A homotopy-based wavelet approach for large deflection of a circular plate on nonlinear foundations with parameterized boundaries, An isogeometric Reissner-Mindlin shell element based on Bézier dual basis functions: overcoming locking and improved coarse mesh accuracy, Multipatch isogeometric mortar methods for thick shells, Transformation cloaking in elastic plates, On the Kirchhoff-Love hypothesis (Revised and Vindicated), Analysis of boundary layer effects due to usual boundary conditions or geometrical defects in elastic plates under bending: an improvement of the Love-Kirchhoff model, Dynamics of ribbed plates with inner resonance: analytical homogenized models and experimental validation, Boundary element method for solving an inhomogeneous biharmonic equation with a right-hand side containing the unknown function and its derivatives, A gradient reproducing kernel collocation method for high order differential equations, Bending of rectangular orthotropic thin plates with rotationally restrained edges: a finite integral transform solution, Analysis of surface mechanical properties effects on the dynamic characteristics of a circular micro-diaphragm with a distributed mass, A quadrilateral plate bending element based on deformation modes, Multiplicity results for fourth order problems related to the theory of deformations beams, New analytic free vibration solutions of orthotropic rectangular plates by a novel symplectic approach, Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning, Preconditioning high order \(H^2\) conforming finite elements on triangles, Boundary-type Ritz method for the analysis of arbitrarily shaped polygonal plates, An Eshelby inclusion of parabolic shape in a Kirchhoff laminated anisotropic thin plate, Combinatorial optimization algorithms for detecting collapse mechanisms of concrete slabs, Dynamic simulations of an encapsulated microbubble translating in a tube at low capillary and Reynolds numbers, Stable and accurate numerical methods for generalized Kirchhoff-Love plates, Block-layer approach for the analysis of the stress-strain state of three-layer irregular cylindrical shells of rotation, Coupling of the meshless finite volume particle method and the finite element method for fluid-structure interaction with thin elastic structures, Gradient-extended damage analysis with reduced integration-based solid-shells at large deformations, Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks, Modeling nonlinear bending of axisymmetric circular nano-plates in framework of Ru's surface stress elasticity theory, An implicit SPH-based structure model for accurate fluid-structure interaction simulations with hourglass control scheme, Digital form finding using Voronoi pattern, A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type, Beyond pull-in angle control of a dual axis torsional micro-actuator considering bending effects, A variational multiscale stabilized and locking-free meshfree formulation for Reissner-Mindlin plate problems, On two simple virtual Kirchhoff-Love plate elements for isotropic and anisotropic materials, Natural vibrations of a rectangular plate with mixed boundary conditions, Analytical study of wrinkling in thin-film-on-elastomer system with finite substrate thickness, Exact solutions for axisymmetric flexural free vibrations of inhomogeneous circular Mindlin plates with variable thickness, Modeling of pressure pulse waves in bypass grafting, Non-conforming triangular finite element based on Mindlin plate theory, Assumed strain stabilization of the eight node hexahedral element, A numerical approach for simulating fluid structure interaction of flexible thin shells undergoing arbitrarily large deformations in complex domains, Global bifurcations and multi-pulse chaotic dynamics of rectangular thin plate with one-to-one internal resonance, A new theoretical approach for structural modelling of riveted and spot welded multi-spot structures, The problem of isotropic rectangular plate with four clamped edges, Using finite difference and differential transformation method to analyze of large deflections of orthotropic rectangular plate problem, A perturbation analysis to solve the linear equations for symmetric deformation of a deep spherical shell, Boundary value problems for anisotropic plates with internal line hinges, Application of new double side approach method to the solution of super-elliptical plate problems, Hybrid asymptotic-direct approach to the problem of finite vibrations of a curved layered strip, Improvement on MITC3 plate finite element using edge-based strain smoothing enhancement for plate analysis, A semi-analytical method for nonlocal buckling and vibration of a single-layered graphene sheet nanomechanical resonator subjected to initial in-plane loads, New analytic solutions for static problems of rectangular thin plates point-supported at three corners, A numerical method for solving some model problems arising in science and convergence analysis based on residual function, The size-dependent analysis of microplates via a newly developed shear deformation theory, Hybrid-mixed ANS finite elements for stress analysis of laminated composite structures: sampling surfaces plate formulation, Stress-driven nonlocal integral elasticity for axisymmetric nano-plates, Exact solutions of boundary value problems in the theory of plate bending in a half-strip: basics of the theory, The optimal design of a functionally graded corrugated cylindrical shell under axisymmetric loading, Resonant chaotic motions of a buckled rectangular thin plate with parametrically and externally excitations, Nonlinear dynamic bending analysis of plates using a higher-order shear deformation theory, Geometrically nonlinear rectangular simply supported plates subjected to a moving mass, Crack growth with a part-through process zone in thin plates, Equations of cylindrical bending of orthotropic plates with arbitrary conditions on their front surfaces, An applied electro-magneto-elastic thin plate theory, A fast multipole boundary element method for solving the thin plate bending problem, Bending and stretching energies in a rectangular plate modeling suspension bridges, Deflections of a rubber membrane, Finite element modeling for analysis of cracked cylindrical pipes, Homogenization of two-dimensional elasticity problems with very stiff coefficients, On the quintic nonlinear Schrödinger equation created by the vibrations of a square plate on a weakly nonlinear elastic foundation and the stability of the uniform solution, Approximate solution of the biharmonic problem in smooth domains, Finite elements using absolute nodal coordinates for large-deformation flexible multibody dynamics, Chaotic and bifurcation dynamic behavior of a simply supported rectangular orthotropic plate with thermo-mechanical coupling, A cell vertex and cell centred finite volume method for plate bending analysis, Boundary element analysis of symmetrically laminated plates, Anisotropic thin plate bending problems by Trefftz boundary collocation method, On the contact of a rigid sphere and a thin plate, Convergence of numerical solution of a fourth-order boundary value problem, Statical and dynamical behaviour of thin fibre-reinforced composite laminates with different shapes, A robust nonlinear solid shell element based on a mixed variational formulation, Generalized shear deformation theory for bending analysis of functionally graded plates, Membrane analysis and optimization of submerged domes with allowance for self-weight and skin cover load, Analyzing the free vibrations of a plate using finite difference and differential transformation method, The deformed shape of isotropic and orthotropic plates subjected to bending moments distributed along the edges, Accurate bending analysis of rectangular thin plates with corner supports by a unified finite integral transform method, Analysis of the dynamics of thin isotropic cylindrical shell in asymptotic approach, A complete analogical study on the dynamic stability analysis of isotropic functionally graded plates subjected to lateral stochastic loads, Reconsiderations on boundary conditions of Kirchhoff micro-plate model based on a strain gradient elasticity theory, A theoretical model of honeycomb material arresting system for aircrafts, Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems, Modelling of coupled vibro-acoustic interactions in an active casing for the purpose of control, Modelling and characterization of a pneumatically actuated peristaltic micropump, An analytical-numerical solution to assess the dynamic response of viscoelastic plates to a moving mass, Analysis of functionally graded plates by meshless method: a purely analytical formulation, Deformation analysis of thin plate with distributed load by triple-reciprocity boundary element method, A dynamic formulation for the analysis of thick elastic plates by the boundary element method, Green's functions for Kirchhoff plates of irregular shape, The tangential differential operator applied to a stress boundary integral equation for plate bending including the shear deformation effect, Delayed fracture of plates under creep condition in unsteady complex stress state in the presence of aggressive medium, Variational modeling of plane-strain hyperelastic thin beams with thickness-stretching effect, Certain approximate analyses of large deflections of cylindrical shells, The reflection method in elasticity and bending of plates, On the non-linear differential equations of cylindrically anisotropic plates, On the logarithmic hypothesis of plane dislocation stress potential functions, An integral equation formulation of plate bending problems, A nonlinear boundary layer for shells of revolution, High accuracy compact operator methods for two-dimensional fourth order nonlinear parabolic partial differential equations, Symmetric deformation of a circular cylindrical shell of variable wall thickness, Effect of boundary condition description on convergence of solution in a boundary-value problem, The response of a thin elastic plate to a moving pressure point, Large deflections of heated circular plates, An application of the extended Kantorovich method to the stress analysis of a clamped rectangular plate, Die rotationssymmetrische dünne Zylinderschale aus ideal-plastischem Material, Unsteady response of thin elastic plates subjected to time-dependent loads and external damping, A shear deformable, rotation-free isogeometric shell formulation, The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements, Isogeometric analysis using manifold-based smooth basis functions, Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling, A hierarchical approach to the \textit{a posteriori} error estimation of isogeometric Kirchhoff plates and Kirchhoff-Love shells, Isogeometric collocation for Kirchhoff-Love plates and shells, Variational approach for settlement analysis of circular plate on multilayered soil, Embedded shell finite elements: solid-shell interaction, surface locking, and application to image-based bio-structures, Simplified conditions of initial observability for infinite-dimensional second-order damped dynamical systems, Numerical methods for thermally stressed shallow shell equations, Multiplicity results for a boundary value problem with integral boundary conditions, Diffraction of hydroelastic waves by multiple vertical circular cylinders, Application of the dual reciprocity method for the buckling analysis of plates with shear deformation, Nonlinear characteristics of contact-induced vibrations of the rotating variable thickness plate under large deformations, A high-order kernel-free boundary integral method for the biharmonic equation on irregular domains, Uniformly moving screw dislocation in flexoelectric materials, Discontinuous Galerkin isogeometric analysis for the biharmonic equation, On modeling of carbon nanotubes reinforced materials and on influence of carbon nanotubes spatial distribution on mechanical behavior of structural elements, Finite integral transform method in static problems for inhomogeneous plates, On thermoelastic diffusion thin plate theory, Axisymmetric deformation of a materially nonlinear circular plate, A Uniqueness Theorem for a Boundary Value Problem, The transverse flexure of normally loaded thin sectorial plates, Analogies between \textsc{Kirchhoff} plates and functionally graded \textsc{Saint-Venant} beams under torsion, On free oscillations of an elastic solids with ordered arrays of nano-sized objects, Semi-analytical approach for the study of linear static behaviour and buckling of shells with single constant curvature, Solution of problems of the statics of shallow shells and plates with hinged and rigidly-fastened opposing edges, Analysis of plate in second strain gradient elasticity, A solid-shell Cosserat point element (SSCPE) for elastic thin structures at finite deformation, Optimum design of thin plates via frequency optimization using BEM, Isogeometric analysis of high order partial differential equations on surfaces, Generalization of the \(C^1\) TUBA plate finite elements to the geometrically exact Kirchhoff-Love shell model, Investigation of nonlinear vibrations of viscoelastic plates with initial imperfections, Fracture and stability of notched thin-walled bodies in tension (survey), Homogénéisation de structures minces en béton armé, Numerical analysis of viscoplastic axisymmetric shells based on a hybrid strain finite element, Boundary Value Problems for Degenerate Elliptic-Parabolic Equations of the Fourth Order, The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review, Stability and Folds in an Elastocapillary System, Assessment of an edge type settlement of above ground liquid storage tanks using a simple beam model, Finite indentation of highly curved elastic shells, Unnamed Item, Vibrations of Beams and Plates: Review of First Closed-Form Solutions in the Past 250 Years, On the elastodynamics of stiffened plates, Analysis of plates and shells using an edge-based smoothed finite element method, Cylindrical bending of a cusped plate with big deflections, [https://portal.mardi4nfdi.de/wiki/Publication:3476356 Materialgleichungen zur beschreibung des prim�ren kriechverhaltens innendruckbeanspruchter zylinderschalen aus isotropem werkstoff], Influence of moving masses on rectangular plate dynamics, Transverse bending of rectangular plates of arbitrary rigidity, Generalized conforming Trefftz element for size-dependent analysis of thin microplates based on the modified couple stress theory, The floating plate-load system: a new stability problem, Arbitrary order recursive formulation of meshfree gradients with application to superconvergent collocation analysis of Kirchhoff plates, Unnamed Item, Extraction of stress intensity factors of biharmonic equations with corner singularities corresponding to mixed boundary conditions of clamped, simply supported, and free (II), Inelastic deformation of thin cylindrical shells under axisymmetric loading, A novel method to impose boundary conditions for higher-order partial differential equations, Finite element coupled positive definite deep neural networks mechanics system for constitutive modeling of composites, On the equation of deflection of a thick plate, A finite element level-set method for stress-based topology optimization of plate structures, \(h\)-, \(p\)-, and \(hp\)-versions of the least-squares collocation method for solving boundary value problems for biharmonic equation in irregular domains and their applications, Numerical solution of problems in the statics of flattened shells on the basis of the spline collocation method, Unnamed Item, Estimation of elastic parameters in a von Karman model, On the indentation of a polymeric membrane, An approximate analytic solution method for the biharmonic problem, A stabilized quasi and bending consistent meshfree Galerkin formulation for Reissner-Mindlin plates, On the analysis of thick rectangular plates, Deflection of a Thin Circular Plate under Mixed boundary Condition with Clamped and Simply Supported Edge, Model for analysis of the stress-strain state of three-layer cylindrical shells with rectangular cutouts, Influence of the model of the behavior of a thin adhesion layer on the value of the J-integral, HYBRID TREFFTZ FORMULATION FOR THIN PLATE ANALYSIS, OPTIMAL NODE LOCATION IN TRIANGULAR PLATE BENDING ELEMENTS, Strain Gradient Finite Element Analysis on the Vibration of Double-Layered Graphene Sheets, Static Analysis for Exact Vibration Analysis of Clamped Plates, Large Displacement Analysis of Rectangular Orthotropic Membranes Under Stochastic Impact Loading, Instability and Bifurcation Behavior of Orthotropic S-FGM Plates Under Lateral Stochastic Loads Considering Variation of Material Properties, BIFURCATIONS AND CHAOS OF AN AXIALLY MOVING PLATE UNDER EXTERNAL AND PARAMETRIC EXCITATIONS, The method of orthogonal projections for three-dimensional elasticity theory problems, Unnamed Item, On the homogenization of a nonlinear shell, On a consistent finite-strain shell theory for incompressible hyperelastic materials, Displacement potentials for membranes in stretching and stress-function potentials for plates in bending, Solving problems in mechanics for layered media, Nonlinear analysis and optimization of shallow shells of variable thickness, Estimate of the pulsed rupturing load parameters for rectangular and circular plates, Free-form shell analysis by a mixed-hybrid finite element approach, Bending of a freely supported plate in the presence of cracks, Buckling of anisotropic shells. I, Stress-strain state of trapezoidal plates with sagging boundaries, Numerical solution of boundary-value problems on the deformation of flexible annular plates of variable rigidity, On the numerical integration of a boundary value problem involving a fourth order linear differential equation, Refined theory of finite deflections of rigid-plastic plates and shells of revolution, Refined theory of bending of thin plates by concentrated forces, Numerical study of unsteady problems of the magnetoelasticity of flexible axisymmetric plates and shells, Refined equations of the deformation of elastic plates, Bending of a Partially Supported Circular Plate, Axisymmetric deformation of a circular torus, On the linear theory of micropolar plates, Practical Stability of the “Cross” Scheme in the Numerical Integration of Dynamic Equations for Flexible Thin-Walled Structural Elements Obeying the Hypotheses of the Timoshenko Theory, Sensitivity of unsteady collapsible channel flows to modelling assumptions, Buckling of the Nonuniformly Compressed Plate with Dislocations and Disclinations, Response of rectangular thick plates to moving single loads, Buckling of an unbounded thin plate with a circular hole under biaxial extension, A non-linear theory of rotating shallow shells of revolution, Approximate equations for the flexure of thin, incomplete, piezoelectric bimorphs, A collocation method for boundary value problems, On the response of thin elastic plates by means of green's functions, Analytic method of solving nonlinear plate bending problems, A new bicubic interpolation over right triangles, HOLMES: Convergent Meshfree Approximation Schemes of Arbitrary Order and Smoothness, Basis for isoparametric stress elements, Solution of problems of the bending of orthotropic plates which yield in transverse shear, Matrix displacement analysis of shells and plates including transverse shear strain effects, Determination of deflection of prismatic shells, Contact problem for a circular plate reinforced with stiff rings, Calculation of plates and shells with a complex contour, Математическое моделирование динамического деформирования упруговязкопластических оболочек конечной длины лучевым методом, [https://portal.mardi4nfdi.de/wiki/Publication:3668075 Ein Randintegralgleichungsverfahren f�r temperaturmomentbeanspruchte Platten], The BIE analysis of the Berger equation, Kinetic wrinkling of an elastic film on a viscoelastic substrate, An approach to the solution of boundary-value problems in mathematical physics and its application in the theory of plates and beams, Revisiting steady viscous flow of a generalized Newtonian fluid through a slender elastic tube using shell theory, Nonlinear large deformation problem of rectangular thin plates and its perturbation solution under cylindrical bending: Transform from plate/membrane to beam/cable, Bending of a partially clamped rectangular plate, A linear-elastic–nonlinear-swelling theory for hydrogels. Part 2. Displacement formulation, Coupling the Curvilinear Immersed Boundary Method with Rotation-Free Finite Elements for Simulating Fluid–Structure Interaction: Concepts and Applications, hp-Вариант метода коллокации и наименьших квадратов с интегральными коллокациями решения бигармонического уравнения, Perturbation-Based Stochastic Meshless Method for Buckling Analysis of Plates, Transitory behavior of a finite span synthetic jet, Hydroelastic wave diffraction by a vertical circular cylinder standing in a channel with an ice cover, Effects of boundary conditions on bistable behaviour in axisymmetrical shallow shells, Determination of an unknown shear force in cantilever Kirchhoff–Love plate from measured final data with application to atomic force microscope, The non-axisymmetric postbuckling behaviour of shallow spherical domes, Geometrically non-linear problems of the bending of orthotropic annular and sectoral plates, Approximate theory of buckling of thin plates of semilinear material in case of affine initial deformation, [https://portal.mardi4nfdi.de/wiki/Publication:5635024 Endliche Durchbiegungen beliebig eingespannter d�nner Kreis- und Kreisringplatten im plastischen Materialbereich], Hamiltonian system-based analytical solutions for the free vibration of edge-cracked thick rectangular plates, Size-dependent constitutive model for shape memory alloys based on couple stress elastoplasticity, Coupling an SPH-based solver with an FEA structural solver to simulate free surface flows interacting with flexible structures, Stress-strain state of three-layer cylindrical shells with reinforced light core under nonstationary loading, Deep learning-accelerated computational framework based on physics informed neural network for the solution of linear elasticity, Biharmonic Fick-Jacobs diffusion in narrow channels, Dynamics of spherical sandwich shells with discrete-symmetrical light core reinforced with ribs under nonstationary loads, Projector representation of isotropic linear elastic material laws for directed surfaces, A class of shear deformable isotropic elastic plates with parametrically variable warping shapes, Superconvergent postprocessing of the \(C^1\)-conforming finite element method for fourth-order boundary value problems, A micromorphic approach to stress gradient elasticity theory with an assessment of the boundary conditions and size effects, Design optimization in periodic structural plates under the constraint of anisotropy, Contact behavior between rail and elastic foundation, Electrostatic pull-in instability for tweezer architectures, [https://portal.mardi4nfdi.de/wiki/Publication:5652382 Warping stresses in circular concrete slabs on het�nyi foundation], Exact and approximate analytical solutions for nonlocal nanoplates of arbitrary shapes in bending using the line element-less method, Asymptotic study of plate bending for a strongly orthotropic material, Circular membrane with a centrally‐located opening ‐ analytical model using parameterisation of the non‐empty torus, Reconstruction of the spatial component in the source term of a vibrating elastic plate from boundary observation, Natural frequency analysis of imperfect GNPRN conical shell, cylindrical shell, and annular plate structures resting on Winkler-Pasternak foundations under arbitrary boundary conditions, A simple geometrically exact finite element for thin shells. I: Statics, Large deflection analysis of elastic-plastic circular plates with combined isotropic and kinematic hardening, Nonclassical axisymmetric bending of circular Mindlin plates with radial force, Uniqueness in the determination of vibration sources in polygonal plates observing the displacement over a space‐time open set, Analytical solution of the bending problem of free orthotropic rectangular thin plate on two‐parameter elastic foundation, Symbolic homogenization and structure optimization for a periodically perforated cylindrical shell, An enhanced ISPH-SPH coupled method for simulation of incompressible fluid-elastic structure interactions, Carrera unified formulation (CUF) for shells of revolution. I: Higher-order theory, Carrera unified formulation (CUF) for the shells of revolution. II: Navier close form solutions, On the derivation of a component-free scheme for Lagrangian fluid-structure interaction problems, A modified beam model based on Gurtin-Murdoch surface elasticity theory, A global iterative model for mesh stiffness and mesh force estimation of flexible internal meshing in spur planetary gear sets, A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints, Asymptotic stability and transient growth in pulsatile Poiseuille flow through a compliant channel, Dynamic simulation of a coated microbubble in an unbounded flow: response to a step change in pressure, A resonance interaction of seismogravitational modes on tectonic plates, Unnamed Item, Application of the extended Newton method to the creep analysis of shells of revolution, Unnamed Item, On a consistent dynamic finite-strain shell theory and its linearization, Simulations of autonomous fluid pulses between active elastic walls using the 1D-IRBFN method, On the Homogenization of Nonlinear Shell, A Non-linear Theory of Thin-Walled Rods of Open Profile Deduced with Incremental Shell Equations, Uniqueness in the determination of loads in multi-span beams and plates, A geophysical application of an elastostatic contact problem, On the Different Possibilities to Derive Plate and Shell Theories, Active elastic thin shell theory for cellular deformations, Effect of actuation method on hydrodynamics of elastic plates oscillating at resonance, Unnamed Item, Unnamed Item, A Posteriori Estimates for Conforming Kirchhoff Plate Elements, Three-dimensional interaction between uniform current and a submerged horizontal cylinder in an ice-covered channel, Effect of surface bending and stress on the transmission of line force to an elastic substrate, Omnidirectional flexural invisibility of multiple interacting voids in vibrating elastic plates, Geometric localization in supported elastic struts, Theory of the flow-induced deformation of shallow compliant microchannels with thick walls, Effect of Thermal Stresses and Reduced Differential Transform on Bending of The Rectangular Plate, Doubling inequality at the boundary for the Kirchhoff-Love plate's equation with supported conditions, Three-dimensional analysis of an antiparallel piezoelectric bimorph, Some fundamental solutions for the Kirchhoff, Reissner and Mindlin plates and a unified BEM formulation., A selective review of direct, semi-inverse and inverse eigenvalue problems for structures described by differential equations with variable coefficients, Unnamed Item, The quasi Eshelby property for rotational symmetrical inclusions of uniform eigencurvatures within an infinite plate, An efficient direct solver for a class of mixed finite element problems, Closed and approximate analytical solutions for rectangular Mindlin plates, An adaptive finite element approach for a mixed Reissner-Mindlin plate formulation, Instabilities of the flow in a curved channel with compliant walls, Diffraction of flexural waves by cracks in orthotropic thin elastic plates. Part II. Far field analysis, Green's function of a thin circular plate with elastically supported edge., Scaling instability in buckling of axially compressed cylindrical shells, Wave diffraction by multiple arbitrary shaped cracks in an infinitely extended ice sheet of finite water depth, Hydroelastic waves propagating in an ice-covered channel, Solving Elliptic Equations in Polygonal Domains by the Least Squares Collocation Method, Transient dynamics of an elastic Hele-Shaw cell due to external forces with application to impact mitigation, Flow rate–pressure drop relation for deformable shallow microfluidic channels, On the Theories of Plates and Shells at the Nanoscale, Wrinkling Analysis of Pre-Stressed Rectangular Membranes Using Element-Free Galerkin Method, Interactions of waves with a body floating in an open water channel confined by two semi-infinite ice sheets, (Bi)-orthogonality relation for eigenfunctions of self-adjoint operators, Forced motion of a cylinder within a liquid-filled elastic tube – a model of minimally invasive medical procedures, On group analysis of the von Kármán equations, ON SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR FOURTH-ORDER BEAM EQUATIONS, Matrix displacement analysis of plates and shells, Determination of a spatial load in a damped Kirchhoff–Love plate equation from final time measured data, Bendocapillary instability of liquid in a flexible-walled channel, Chladni figures of a circular plate floating in the bounded and unbounded water basins with the cantilevered central support, Viscous flow beneath a viscous or plastic skin