scientific article
From MaRDI portal
zbMath0541.73044MaRDI QIDQ3327849
Publication date: 1984
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nonlinear elasticity (74B20) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids (74-01)
Related Items
Dramatically stiffer elastic composite materials due to a negative stiffness phase?, Novel viscoelastic models for elastomers under finite strains, Compression of a hyperelastic layer-substrate structure: transitions between buckling and surface modes, Nonlinear effects in a plane problem of the pure bending of an elastic rectangular panel, A class of models to predict the normal force and torque under torsional loading of a viscoelastic liquid, Constitutive modeling of the mechanics associated with triple shape memory polymers, A note on stress/strain conjugate pairs: explicit and implicit theories of thermoelasticity for anisotropic materials, Gradient elasticity theory for fiber composites with fibers resistant to extension and flexure, Multiple joined prestressed orthotropic layers under large strains, Hencky strain and logarithmic rates in Lagrangian analysis, On the determination of semi-inverse solutions of nonlinear Cauchy elasticity: the \textit{not so simple} case of anti-plane shear, Closed-form solutions for inhomogeneous states of a slender 3-D SMA cylinder undergoing stress-induced phase transitions, On fluid-shell coupling using an arbitrary Lagrangian-eulerian fluid solver coupled to a positional Lagrangian shell solver, Automatic finite element formulation and assembly of hyperelastic higher order structural models, Bui's path-independent integral in finite elasticity, Partial regularity for certain classes of polyconvex functionals related to nonlinear elasticity, Finite axisymmetric deformations of elastic tubes: An approximate method, Some elastodynamic problems for laminated and fibrillar bodies, Equations of motion for an anisotropic nonlinear elastic continuum in a gravitational field, Mechanics of an elastic solid reinforced with bidirectional fiber in finite plane elastostatics: complete analysis, Material-symmetries congruency in transversely isotropic and orthotropic hyperelastic materials, Analytical and numerical investigation of failure of ellipticity for a class of hyperelastic laminates, On enhanced strain methods for small and finite deformations of solids, Resonant-triad instability of a pre-stressed incompressible elastic plate, Void formation and growth in a class of compressible solids, Elastic arches with large elevation. Singularly perturbed problem of nonlinear elasticity, Finite elastoplastic deformations of space-curved membranes, A note on enhanced strain methods for large deformations, The post-critical analysis of axisymmetric hyper-elastic membranes by the finite element method, A parallel finite element method for the analysis of crystalline solids, Entropy elasticity of isotropic rubber-like solids at finite strains, Large strain analysis of soft biological membranes: Formulation and finite element analysis, Explicit finite deformation analysis of isogeometric membranes, Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics, Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod, Logarithmic strain, logarithmic spin and logarithmic rate, A hyperelastic nonlinear model for a nearly incompressible particulate composite, Azimuthal shearing and transverse deflection of an annular elastic membrane, The effect of shear on the propagation of elastic surface waves, The influence of shear strain and hydrostatic stress on stability and elastic waves in a layer, On small amplitude vibrations of pre-stressed laminates, A material model for rubber-like polymers exhibiting plastic deformation: Computational aspects and a comparison with experimental results, Automatic generation of finite-element code by simultaneous optimization of expressions, On the propagation of nonlinear travelling waves in an incompressible elastic plate, Forchheimer's correction in modelling flow and transport in fractured porous media, On the numerical integration of three-invariant elastoplastic constitutive models., Mechanobiology and morphogenesis in living matter: a survey, Modeling and simulation of thermally actuated bilayer plates, A finite elastic-viscoelastic-elastoplastic material law with damage: theoretical and numerical aspects., Finite thermoelasticity with limiting chain extensibility, Characterization and modeling of compliant active materials., A boundary element technique for incremental, nonlinear elasticity. I: Formulation., The effect of rotation and initial stress on the propagation of waves in a transversely isotropic elastic solid, Uniqueness of equilibrium with sufficiently small strains in finite elasticity, Basis-free expressions for families of objective strain tensors, their rates, and conjugate stress tensors, Counter-intuitive results in acousto-elasticity, Study on cavitated bifurcation problems for spheres composed of hyperelastic materials, On Ericksen's theorem for unconstrained hyperelastic materials, Second-order estimates for the macroscopic response and loss of ellipticity in porous rubbers at large deformations, Material stability analysis of particle methods, On the relevance of continuum damage mechanics as applied to the Mullins effect in elastomers, A new quasi-continuum constitutive model for crack growth in an isotropic solid, A novel arterial constitutive model in a commercial finite element package: application to balloon angioplasty, Inflation mechanics of a membrane reflector supported by an inflated toroidal rim, High-order tetrahedral finite elements applied to large deformation analysis of functionally graded rubber-like materials, A natural generalization of linear isotropic relations with seth-Hill strain tensors to transversely isotropic materials at finite strains, Locking alleviation in the large displacement analysis of beam elements: the strain split method, Another approach of WKB method for the stability analysis of the bending of an elastic rubber block, Multiplicative electro-elasticity of electroactive polymers accounting for micromechanically-based network models, Bifurcation of a solid circular elastic cylinder under finite extension and torsion, The tensor equation \(AX +XA = \Phi (A,H)\), with applications to kinematics of continua, Positive definiteness of the elasticity tensor of a residually stressed material, Linear elasticity for constrained materials: General theory for hyperelasticity, A posteriori error estimation in large-strain elasticity using equilibrated local Neumann problems, An iterative technique for the finite element analysis of near-incompressible materials, Large strain deformations of elastic shells. Constitutive modelling and finite element analysis, Hencky's elasticity model and linear stress-strain relations in isotropic finite hyperelasticity, Materials with elastic range: A theory with a view toward applications. II, On drilling degrees of freedom in nonlinear elasticity and a hyperelastic material description in terms of the stretch tensor. I: Theory, A general framework for the numerical solution of problems in finite elasto-plasticity, A formulation of finite elastoplasticity based on dual co- and contra-variant eigenvector triads normalized with respect to a plastic metric, The small anisotropy formulation of elastic deformation, Uniform asymptotic analysis for transient waves in a pre-stressed compressible hyperelastic rod, Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation, Simple shear decomposition of the deformation gradient, Exact energy and momentum conserving algorithms for general models in nonlinear elasticity, On the theory of fourth-order tensors and their applications in computational mechanics, Analytic solutions and triality theory for nonconvex and nonsmooth variational problems with applications, Asymptotic representations of the dispersion relation for a two-ply, pre-stressed incompressible elastic laminate, A general constitutive theory for linear and nonlinear particulate media with microstructure evolution, Analysis, finite element computation and error estimation in transversely isotropic nearly incompressible finite elasticity, Kinematics of finite rotation shells with in-plane twist parameter, Green's function for incremental nonlinear elasticity: shear bands and boundary integral formulation, Process physics: Inertia, gravity and the quantum, Buckling analysis of woven fabric under uniaxial tension in arbitrary direction, Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction., Stability analysis of particle methods with corrected derivatives., An incremental formulation for rate-independent finite rigid plasticity., Bifurcation of elastoplastic solids to shear band mode at finite strain., Finite element simulation of strain localization with large deformation: Capturing strong discontinuity using a Petrov-Galerkin multiscale formulation, A Theory of Volumetric Growth for Compressible Elastic Biological Materials, A Generalized Backward Euler algorithm for the numerical integration of an isotropic hardening elastoplastic model for mechanical and chemical degradation of bonded geomaterials, Some Implications of Empirical Inequalities for the Plane Strain Deformations of Unconstrained, Isotropic, Hyperelastic Solids, Micromechanical Modeling of the Finite Deformation of Thermoelastic Multiphase Composites, An Analysis of the Linearized Equations for Axisymmetric Deformations of Hyperelastic Cylinders, A theoretical scheme for shape-programming of thin hyperelastic plates through differential growth, Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching, Numerical modeling of residual stresses in additive manufacturing products using the theory of repeatedly superimposed finite strains, On the Thermodynamic Stability of Elastic Heat-Conducting Solids Subject to a Deformation—Temperature Constraint, A Summary of Asymptotic Finite Deformation Results for a Point Load on a Hyperelastic Half-Space, Anisotropy in geometrically non-linear elasticity with generalized Seth-Hill strain tensors projected to invariant subspaces, Modeling the cardiac electromechanical function: A mathematical journey, Asymptotic analysis of Timoshenko-like orthotropic beam with elliptical cross-section, Mechanics of third-gradient continua reinforced with fibers resistant to flexure in finite plane elastostatics, Extension and inflation of a thick-cylindrical tube made of isotropic compressible of Mooney-Rivlin materials: modeling and finite element simulations, Spacetime evolutive equilibrium in nonlinear continuum mechanics, Large deformation of hyperelastic modified Timoshenko-Ehrenfest beams under different types of loads, Finite deformation analysis of the rotating cylindrical hollow disk composed of functionally-graded incompressible hyper-elastic material, Two different modes of shear stress response in simple shear of isotropic incompressible hyperelastic materials, The universal program of nonlinear hyperelasticity, Buckling and post-buckling of a compressible slab under combined axial compression and lateral load, An overview of the ANCF approach, justifications for its use, implementation issues, and future research directions, On the coupling of rectilinear shear and stretching in a slab made of incompressible elastic neo-Hookean materials: analytic formulation and finite element validation, An a posteriori approach to the mechanics of volumetric growth, Buckling of thin-walled cylinders from three dimensional nonlinear elasticity, Independent Nonlinear Component Analysis, Remarks on the stability of enhanced strain elements in finite elasticity and elastoplasticity, Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions, Further results on stretch formulations of simple shear and pure torsion for incompressible isotropic hyperelastic materials, Acoustic black hole in a hyperelastic rod, Synchronous whirling of spinning homogeneous elastic cylinders: linear and weakly nonlinear analyses, On poro-hyperelastic torsion, A simple spectral representation of a second-order symmetric tensor and its variation, A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity, Elastic Growth Models, Modelling the deep drawing of a 3D woven fabric with a second gradient model, Love waves in compressible elastic materials with a homogeneous initial stress, Variation of second-order piezoelectric coefficients with respect to a finite strain measure, Objective barriers to the transport of dynamically active vector fields, Small-amplitude superimposed horizontal motion of a load supported symmetrically by rubber springs, An Impact Problem for a Non‐Linear Elastic Membrane with Non Constant Boundary Conditions, Nonlinear Bloch waves and balance between hardening and softening dispersion, On compressible versions of the incompressible neo-Hookean material, Formation of finite-time singularities for nonlinear hyperbolic systems with small initial disturbances, An existence theorem for a two-dimensional nonlinear shell model of Koiter’s type, Remarks on instabilities and ellipticity for a fiber-reinforced compressible nonlinearly elastic solid under plane deformation, Comparison of Incompressible Elastic Strain Energy Functions over the Attainable Region of Invariant Space, Generalized pseudo-Finsler geometry applied to the nonlinear mechanics of torsion of crystalline solids, Dynamics and rheology of elastic particles in an extensional flow, Buckling of a spinning elastic cylinder: linear, weakly nonlinear and post-buckling analyses, Methodical fitting for mathematical models of rubber-like materials, Nonlinear waves in solids with slow dynamics: an internal-variable model, On the figure of elastic planets I: gravitational collapse and infinitely many equilibria, Linearly polarized waves of finite amplitude in pre-strained elastic materials, The relationship between viscoelasticity and elasticity, An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity, Thermoelastic Small-Amplitude Wave Propagation in Nonlinear Elastic Multilayers, On isotropic rank 1 convex functions, Numerical studies on the identification of the material parameters of Rivlin's hyperelasticity using tension-torsion tests, Interfacial dynamics for Stokes flow., Warping and in-plane twist parameters in kinematics of finite rotation shells, Effect of elastomer slight compressibility, Linear and Nonlinear Wave Propagation in Coated or Uncoated Elastic Half-spaces, Finite Amplitude Waves in Nonlinear Elastodynamics and Related Theories: A Personal Overview?, Unnamed Item, Propagation of steady nonlinear waves in a coated elastic half-space., The Solution of Inverse Non-Linear Elasticity Problems That Arise When Locating Breast Tumours, Recent developments in parametrized variational principles for mechanics, Multiscale Considerations in Modeling of Nonlinear Elastomers, Hypoelastic soft tissues. I: Theory, Hypoelastic soft tissues. II: In-plane biaxial experiments, Non-Isochoric Bending and Shearing, Notes on superposed incremental deformations in the mechanics of lipid membranes, An assessment of the average nodal volume formulation for the analysis of nearly incompressible solids under finite strains, Constitutive Equations for Hyperelastic Materials Based on the Upper Triangular Decomposition of the Deformation Gradient, Generalized Finsler geometric continuum physics with applications in fracture and phase transformations, Concurrent two-scale model for the viscoelastic behavior of elastomers filled with hard nanoparticles, Viscoelasticity behavior for finite deformations, using a consistent hypoelastic model based on Rivlin materials, Material degradation due to moisture and temperature. part 1: mathematical model, analysis, and analytical solutions, Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness, An illustration of the equivalence of the loss of ellipticity conditions in spatial and material settings of hyperelasticity, An elastoplastic framework for granular materials becoming cohesive through mechanical densification. II: The formulation of elastoplastic coupling at large strain, On the effect of the volumetric deformation in soft dielectric composites with high phase contrast, Singularities of homogeneous deformations in finite elasticity, An analytic derivation of the bifurcation conditions for localization in hyperelastic tubes and sheets, Yield criteria for quasibrittle and frictional materials: a generalization to surfaces with corners, Thermodynamically consistent, maximum dissipation, time-dependent models for non-equilibrium behavior, Azimuthal shear in compressible finite elasticity, Long wave asymptotic integration of the governing equations for a pre-stressed incompressible elastic layer with fixed faces, Dispersion effects of extensional waves in pre-stressed imperfectly bonded incompressible elastic layered composites, Surface waves in a deformed isotropic hyperelastic material subject to an isotropic internal constraint, Axioms and variational problems in surface parameterization, Covariant spacetime formalism for applications to thermo-hyperelasticity, An explicit, direct approach to obtain multi-axial elastic potentials which accurately match data of four benchmark tests for rubbery materials. II: general deformations, An explicit, direct approach to obtaining multiaxial elastic potentials that exactly match data of four benchmark tests for rubbery materials. I: Incompressible deformations, Recovery of a Lamé parameter from displacement fields in nonlinear elasticity models, Entropic thermoelasticity at finite strains. Aspects of the formulation and numerical implementation, Bulging of inflated membranes made of fiber reinforced materials with different natural configurations, The unexpected kinematics of simple extension and contraction of incompressible materials, Construction of flows of finite-dimensional algebras, A generalized inf-sup test for multi-field mixed-variational methods, Homogenization and multiscale stability analysis in finite magneto-electro-elasticity. Application to soft matter EE, ME and MEE composites, Computer modelling of origami-like structures made of light activated shape memory polymers, Analytical study on phase transition of shape memory alloy wire under uniaxial tension, Variational framework for distance-minimizing method in data-driven computational mechanics, Effect of initial stress on Love wave propagation at the boundary between a layer and a half-space, A new mathematical framework for modelling the biomechanics of growing trees with rod theory, Nonlinear elastodynamics of materials with strong ellipticity condition: Carroll-type solutions, Infinitesimal stability of the equilibrium states of an incompressible, isotropic elastic tube under pressure, On the stability of incompressible elastic cylinders in uniaxial extension, A comment on the formation of objective response functions, A nonlinear spectral rate-dependent constitutive equation for electro-viscoelastic solids, Virtual multi-dimensional internal bonds model and its application in simulation of rock mass, Generalization of the strain-split method and evaluation of the nonlinear ANCF finite elements, Conical indentation of incompressible rubber-like materials, Hill's class of compressible elastic materials and finite bending problems: exact solutions in unified form, Implications of transvascular fluid exchange in nonlinear, biphasic analyses of flow-controlled infusion in brain, Solving hyperelastic material problems by asymptotic numerical method, A structural-based computational model of tendon-bone insertion tissues, An investigation on microscopic and macroscopic stability phenomena of composite solids with periodic microstructure, Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds, Finite element concepts for finite elastoplastic strains and isotropic stress response in shells: Theoretical and computational analysis, A stabilized mixed finite element method for finite elasticity. Formulation for linear displacement and pressure interpolation, The anelastic Ericksen problem: universal deformations and universal eigenstrains in incompressible nonlinear anelasticity, The viscoplastic compaction of composite powders, Asymptotic analysis of stability for prismatic solids under axial loads, Novel strategies for parameter fitting procedure of the Ogden hyperfoam model under shear condition, Numerical implementation of multiplicative elasto-plasticity into assumed strain elements with application to shells at large strains, On pure bending in non-linear elasticity: a circular closed-form 2D solution for semi-linear orthotropic material, An exact solution to the Lame problem for a hollow sphere for new types of nonlinear elastic materials in the case of large deformations, A Taylor-Hood type virtual element formulations for large incompressible strains, A mixed variational framework for the design of energy-momentum schemes inspired by the structure of polyconvex stored energy functions, Simple and robust element-free Galerkin method with almost interpolating shape functions for finite deformation elasticity, Propagation of Rayleigh wave in initially-stressed compressible hyperelastic materials, A hyperbolic framework for shear sound beams in nonlinear solids, Large deformation analysis of elastoplastic homogeneous materials via high order tetrahedral finite elements, Necking of a hyperelastic solid cylinder under axial stretching: evaluation of the infinite-length approximation, Multi-body spherically symmetric steady states of Newtonian self-gravitating elastic matter, Elastic potentials with best approximation to rubberlike elasticity, Adaptive multi-material topology optimization with hyperelastic materials under large deformations: a virtual element approach, Auxetic orthotropic materials: numerical determination of a phenomenological spline-based stored density energy and its implementation for finite element analysis, Material point method simulations using an approximate full mass matrix inverse, Family of continuous strain-consistent convective tensor rates and its application in Hooke-like isotropic hypoelasticity, Flexible actuator finite element applied to spatial mechanisms by a finite deformation dynamic formulation, Finite dynamic deformations of a hyperelastic, anisotropic, incompressible and prestressed tube. Applications to in vivo arteries, Generalized strain space formulations and eigenprojection tensors, An exact solution to the problem of biaxial loading of a micropolar elastic plate made by joining two prestrained arc-shaped layers under large strains, Mechanics of hyperelastic composites reinforced with nonlinear elastic fibrous materials in finite plane elastostatics, Residually stressed two fibre solids: a spectral approach, Nonlinear breathing motions and instabilities of a pressure-loaded spherical hyperelastic membrane, Vibrations of inhomogeneous piezoelectric bodies in conditions of residual stress-strain state, Integration of localized surface geometry in fully parameterized ANCF finite elements, Some basic formulations of the virtual element method (VEM) for finite deformations, A paradigm for higher-order polygonal elements in finite elasticity using a gradient correction scheme, Finite strain modelling for multiphase flow in dual scale porous media during resin infusion process, Approximate phase speed of Lamb waves in a composite plate reinforced with strong fibres, A new method for material point method particle updates that reduces noise and enhances stability, Revisiting the problem of a crack impinging on an interface: a modeling framework for the interaction between the phase field approach for brittle fracture and the interface cohesive zone model, On an equivalence between a discontinuous Galerkin method and reduced integration with hourglass stabilization for finite elasticity, New material point method contact algorithms for improved accuracy, large-deformation problems, and proper null-space filtering, A random field model for anisotropic strain energy functions and its application for uncertainty quantification in vascular mechanics, A fully-relaxed variationally-consistent framework for inelastic micro-sphere models: finite viscoelasticity, Stability of classical shock fronts for compressible hyperelastic materials of Hadamard type, Unique determination of sound speeds for coupled systems of semi-linear wave equations, Objective symmetrically physical strain tensors, conjugate stress tensors, and Hill's linear isotropic hyperelastic material models, Morphoelastic fiber remodeling in pressurized thick-walled cylinders with application to soft tissue collagenous tubes, Korn's inequality and eigenproblems for the Lamé operator, Numerical simulation of the bending of a layered beam with prestressed layer under finite strains using the spectral element method, Accretion mechanics of nonlinear elastic circular cylindrical bars under finite torsion, A model for rubberlike elasticity up to failure, Review of exploiting nonlinearity in phononic materials to enable nonlinear wave responses, A finite strain elastoplastic model based on Flory's decomposition and 3D FEM applications, A component-free Lagrangian finite element formulation for large strain elastodynamics, Stochastic multiscale homogenization analysis of heterogeneous materials under finite deformations with full uncertainty in the microstructure, Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies, Large strain analysis of rubber-like membranes under dead weight, gas pressure, and hydrostatic loading, Infinitesimal elastic stability of homogeneous deformations and the zero moment condition, A note on the Cauchy relations, Nonlinear axial shear wave propagation in a hyperelastic incompressible solid, Reductions due to material constraint and material symmetry on equilibrium problems of laminated and fibrillar bodies, A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. I: Continuum formulation, Inhomogeneous shearing of strain-stiffening rubber-like hollow circular cylinders, Pattern formation on a stretchable substrate, Some basis-free expressions for stresses conjugate to Hill's strains through solving the tensor equation \(AX + XA = C\), Stress field due to elastic mass growth on spherical and cylindrical substrates, On the volumetric part of strain-energy functions used in the constitutive modeling of slightly compressible solid rubbers, Finite viscoplasticity of amorphous glassy polymers in the logarithmic strain space, A phenomenological three-dimensional rate-independent continuum damage model for highly filled polymers: Formulation and computational aspects, On the stability of asymmetric deformations of a symmetrically-tensioned elastic sheet, A biphasic continuum approach for viscoelastic high-porosity foams: comprehensive theory, numerics, and application, Frameworks for finite strain viscoelastic-plasticity based on multiplicative decompositions. I: Continuum formulations, Wave curves for the Riemann problem of plane waves in isotropic elastic solids, Geometry of Skyrmions, Simple shearing of incompressible and slightly compressible isotropic nonlinearly elastic materials, Constitutive modeling and the trousers test for fracture of rubber-like materials, Shallow arch models. An asymptotic approach, Determination of the overall moduli in second order incompressible elasticity, A quadratically convergent procedure for the calculation of stability points in finite element analysis, On the size of RVE in finite elasticity of random composites, Compression of bonded elastic bodies, On some mixed finite element methods for incompressible and nearly incompressible finite elasticity, A constitutive model for compressible elastomeric solids, Limiting chain extensibility constitutive models of Valanis-Landel type, Resonant three-wave interactions in nonlinear hyper-elastic fluid-filled tubes, Logarithmic strain and its material derivative for a QR decomposition of the deformation gradient, Small amplitude waves in a pre-stressed compressible elastic layer with one fixed and one free face, New compressible hyper-elastic models for rubberlike materials, Basis-free expressions for derivatives of a subclass of nonsymmetric isotropic tensor functions, Standard formulation of elastic-plastic deformation laws, Formulations of finite elasticity with independent rotations, A brief review of some approaches to hysteresis in viscoelastic polymers, Torsional swelling of a hyperelastic tube with helically wound reinforcement, An approach to finite static axially symmetric deformation of a hyperelastic membrane, The effect of stress induced anisotropy on shear band formation, The effects of compressibility on inhomogeneous deformations for a class of almost incompressible isotropic nonlinearly elastic materials, A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues, Aspects of bifurcation in an isotropic elastic continuum with orthotropic inelastic interface, Pseudomomentum and material forces in nonlinear elasticity: Variational formulations and application to brittle fracture, Transition from micro-mechanics to computationally efficient phenomenology: Carbon black filled rubbers incorporating Mullins' effect, Boundary layer solutions for incompressible elastic cylinders, Some equilibrium problems for compressible, anisotropic, laminated nonlinearly elastic bodies, The stress concentration near a rigid line inclusion in a prestressed, elastic material. I: Full-field solution and asymptotics, Loss of strong ellipticity in non-associative elastoplasticity, Basis free expressions for the stress rate of isotropic elastic materials in the cases of coalescent principal stretches, Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory, Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms, The dynamic response of a stretched circular hyperelastic membrane subjected to normal impact, Plane deformations of shear-resisting membranes formed of elastic cords, A numerical framework for material characterisation of inhomogeneous hyperelastic membranes by inverse analysis, On improved network models for rubber elasticity and their applications to orientation hardening in glassy polymers, Large deformation of liquid capsules enclosed by thin shells immersed in the fluid, A new nonlinear multibody/finite element formulation for knee joint ligaments, Onset of macroscopic instabilities in fiber-reinforced elastomers at finite strain, A multiscale approach of nonlinear composites under finite deformation: experimental characterization and numerical modeling, A finite element finite-strain formulation for modeling colliding blocks of Gent materials, On the incremental plastic work and related aspects of invariance. II., A stick-slip/rouse hybrid model for viscoelasticity in polymers, Coating cones and spherical caps with membranes formed of elastic cords, Spatial patterns and size effects in shear zones: A hyperelastic model with higher-order gradients, On extension and torsion of strain-stiffening rubber-like elastic circular cylinders, Objective tensor rates and applications in formulation of hyperelastic relations, Plane strain bending of strain-stiffening rubber-like rectangular beams, Modeling of anisotropic softening phenomena: Application to soft biological tissues, Finite plane deformations of a three-phase circular inhomogeneity-matrix system, On a class of exact solutions in nonlinear elasticity, Hyperelasticity and physical shear buckling of a block predicted by the Cosserat point element compared with inelasticity and hourglassing predicted by other element formulations, A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics, A material-independent algorithm for preserving of the orientation of the spatial basis attached to deforming medium, A variational model for fracture mechanics: Numerical experiments, \(\Gamma \)-convergence for incompressible elastic plates, Three-dimensional phenomenological thermodynamic model of pseudoelasticity of shape memory alloys at finite strains, Robust numerical analysis of homogeneous and non-homogeneous deformations, Finite element analysis and constitutive modelling of anisotropic nonlinear hyperelastic bodies with convected frames, Clamped end conditions and cross-section deformation in the finite element absolute nodal coordinate formulation, On bifurcation in finite elasticity: Buckling of a rectangular rod, Spherical indentation of incompressible rubber-like materials, On the Lagrangian electrostatics of elastic solids, An anisotropic viscoelastic fibre-matrix model at finite strains: continuum formulation and computational aspects, Volume-preserving energy-momentum schemes for isochoric multiplicative plasticity, Axisymmetric pressure boundary loading for finite deformation analysis using p-FEM, Unconstrained finite element for geometrical nonlinear dynamics of shells, Dynamic bifurcation during high-rate planar extension of a thin rectangular block, Elastic interaction between force dipoles on a stretchable substrate, Shock front analysis for axial shear wave propagation in a hyperelastic incompressible solid, Bending instabilities of soft biological tissues, On derivation of Euler-Lagrange equations for incompressible energy-minimizers, Numerical simulation of rock fracturing under uniaxial compression using virtual internal bond model, The effect of pre-stress on the vibration and stability of elastic plates, A note on wave propagation in internally constrained hyperelastic materials, Some equilibrium problems for fibrillar bodies, The elasticity tensor of a residually stressed material, On material representation and constitutive branching in finite compressible elasticity, The constitutive equation for finite deformations of a transversely isotropic hyperelastic material with residual stress, Stability and vibration of pre-stressed compressible elastic plates, On a fully three-dimensional finite-strain viscoelastic damage model: Formulation and computational aspects, Deformation gradients for continuum mechanical analysis of atomistic simulations, A multiaxial elastic potential with error-minimizing approximation to rubberlike elasticity, Micromechanics methods for evaluating the effective moduli of soft neo-Hookean composites, On the extrema of a nonconvex functional with double-well potential in 1D, Analytical solutions to general anti-plane shear problems in finite elasticity, State of the art of ANCF elements regarding geometric description, interpolation strategies, definition of elastic forces, validation and the locking phenomenon in comparison with proposed beam finite elements, On constraints for displacement gradients in elastic materials, Flow of finite-dimensional algebras, On the consequences of the adoption of the Zaremba-Jaumann objective stress rate in FEM codes, On the stress singularities generated by anisotropic eigenstrains and the hydrostatic stress due to annular inhomogeneities, Morphoelastic control of gastro-intestinal organogenesis: theoretical predictions and numerical insights, On a consistent dynamic finite-strain plate theory and its linearization, A variational constitutive framework for the nonlinear viscoelastic response of a dielectric elastomer, A phenomenological constitutive model for the nonlinear viscoelastic responses of biodegradable polymers, Micropolar hypo-elasticity, Predictive modeling of nanoindentation-induced homogeneous dislocation nucleation in copper, Effective behavior of porous elastomers containing aligned spheroidal voids, Label structured cell proliferation models, Study of the ligament tension and cross-section deformation using nonlinear finite element/multibody system algorithms, Physical variational principle and thin plate theory in electro-magneto-elastic analysis, Stresses produced in slightly compressible, finitely deformed elastic media due to a normal moving load, Finite elasto-viscoplastic modeling of polymers including asymmetric effects, The mechanical behaviour of rubber under hydrostatic compression and the effect on the results of finite element analyses, Conditions for the onset of elastic and material instabilities in hyperelastic materials, The study of asymptotically fine wrinkling in nonlinear elasticity using a boundary layer analysis, A 3D finite strain phenomenological constitutive model for shape memory alloys considering martensite reorientation, A finite strain kinematic hardening constitutive model based on Hencky strain: general framework, solution algorithm and application to shape memory alloys, Families of continuous spin tensors and applications in continuum mechanics, Constitutive modeling of temperature and strain rate dependent elastoplastic hardening materials using a corotational rate associated with the plastic deformation, Initial stresses in elastic solids: constitutive laws and acoustoelasticity, On formulas for the Rayleigh wave velocity in pre-stressed compressible solids, Mechanics of physisorption on elastomer surface, A theory of flexoelectricity with surface effect for elastic dielectrics, Constitutive analysis of thin biological membranes with application to radial stretching of a hollow circular membrane, Nonlinear correction to the Euler buckling formula for compressed cylinders with guided-guided end conditions, Instabilities in multilayered soft dielectrics, Discrete micromechanics of elastoplastic crystals in the finite deformation range, POD for real-time simulation of hyperelastic soft biological tissue using the point collocation method of finite spheres, On the computation of the macroscopic tangent for multiscale volumetric homogenization problems, On the spatial formulation of discontinuous Galerkin methods for finite elastoplasticity, Elastic-plastic multiplicative decomposition with a stressed intermediate configuration, Computational methods for fracture in brittle and quasi-brittle solids: state-of-the-art review and future perspectives, Implicit dynamic three-dimensional finite element analysis of an inelastic biphasic mixture at finite strain. I: application to a simple geomaterial, Instability analysis in pressurized three-layered fiber-reinforced anisotropic rubber tubes in torsion, Successive linear approximation for boundary value problems of nonlinear elasticity in relative-descriptional formulation, Hyperelastic large deformations of two-phase composites with membrane-type interface, Comparative study of different nonconserving time integrators for wave propagation in hyperelastic waveguides, On the rectilinear shear of compressible and incompressible elastic slabs, On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability, Rheological models for large deformations of elastic-viscoplastic materials, Encapsulated piezoelectric nanoparticle-hydrogel smart material to remotely regulate cell differentiation and proliferation: a finite element model, ALE incompressible fluid-shell coupling based on a higher-order auxiliary mesh and positional shell finite element, Finsler geometry of nonlinear elastic solids with internal structure, Implicit numerical integration of nonsmooth multisurface yield criteria in the principal stress space, Adaptivity for parameter identification of incompressible hyperelastic materials using stabilized tetrahedral elements, A multiplicative approach for nonlinear electro-elasticity, WYPIWYG hyperelasticity for isotropic, compressible materials, A variational approach to a circular hyperelastic membrane problem, Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity, Applications of an energy-momentum tensor in nonlinear elastodynamics: Pseudomomentum and Eshelby stress in solitonic elastic systems, Bulk waves and dynamical behaviour in elastic solids reinforced by two families of strong fibres, Phenomenological isotropic visco-hyperelasticity: a differential model based on fractional derivatives, Reflection and transmission of plane waves at a shear-twin interface, Nonlinear isotropic constitutive laws: choice of the three invariants, convex potentials and constitutive inequalities, Flexure and compression of incompressible elastic plates, On the reflection of plane waves at the boundary of an elastic half-space subject to simple shear, Unilateral contact with adhesion and friction between two hyperelastic bodies, Non-principal surface waves in deformed incompressible materials, Hyper-elastic constitutive equations of conjugate stresses and strain tensors for the Seth-Hill strain measures, On conservation laws in geometrically nonlinear elasto-dynamic field of non-homogeneous materials, Two-dimensional motion in a Bell-constrained plate, On a three-dimensional axisymmetric boundary-value problem of nonlinear elastic deformation: asymptotic solution and exponentially small error, An energetic approach to the analysis of anisotropic hyperelastic materials, New results for the spin of the Eulerian triad and the logarithmic spin and rate, Compression tests and constitutive models for the slight compressibility of elastic rubber-like materials, Strain energy-based homogenization of nonlinear elastic particulate composites, Second-order effects on the wave propagation in elastic, isotropic, incompressible, and homogeneous media, On evolution equations for elastic deformation and the notion of hyperelasticity, On formulas for the Rayleigh wave velocity in pre-strained elastic materials subject to an isotropic internal constraint, A nonlinear visco-elastic constitutive model for large rotation finite element formulations, A front-tracking method with Catmull-Clark subdivision surfaces for studying liquid capsules enclosed by thin shells in shear flow, On natural strain measures of the non linear micropolar continuum, Internal energy variational principles and governing equations in electroelastic analysis, Plane strain dynamics of elastic solids with intrinsic boundary elasticity, with application to surface wave propagation, Computational modeling of deformation bands in granular media. I: Geological and mathematical framework, Plane deformation and stability of an elastic layer with intrinsic boundary elasticity, Finite element model of viscoelastic membrane deformation, A review on recent development of finite element models for head injury simulations, A poroelastic immersed boundary method with applications to cell biology, Magnetoelastic buckling of a rectangular block in plane strain, Direct determination of multi-axial elastic potentials for incompressible elastomeric solids: an accurate, explicit approach based on rational interpolation, Ab initio bubble-driven denaturation of double-stranded DNA: self-mechanical theory, Modeling the onset of shear boundary layers in fibrous composite reinforcements by second-gradient theory, Propagation, reflection, and transmission of SH-waves in slightly compressible, finitely deformed elastic media, Straightening wrinkles, Phase field modeling of fracture in rubbery polymers. I. Finite elasticity coupled with brittle failure, Approximate Riemann solvers and waves on a nonlinear elastic string, Plane-strain waves in nonlinear elastic solids with softening, Analysis of a theory of elasticity for masonry solids, Loss of ellipticity and structural transformations in planar simple crystal lattices, Second-Order Homogenization Estimates Incorporating Field Fluctuations in Finite Elasticity, A Note on the Constitutive Equation for an Isotropic Elastic Material, Nonlinear Viscoelastic Solids—A Review, Stability and Bifurcation of Homogeneous Deformations of a Compressible Elastic Body under Pressure Load, Existence and a Priori Bounds for the Finite Torsion Solution for a Class of General Blatz-Ko Materials, A Necessary Condition for Energy-Minimizing Plane Deformations of Elastic Solids with Intrinsic Boundary Elasticity, Nonlinear Travelling Waves in a Neo-Hookean Plate Subjected to a Simple Shear, The Application of the Stroh Formalism to Prestressed Elastic Media, Nonlinear Elasticity Theory with Discontinuous Internal Variables, Existence and Uniqueness of Azimuthal Shear Solutions in Compressible Isotropic Nonlinear Elasticity, Exact Solutions for Elastic Membrane Disks, A 3D Nonlinear Anisotropic Spherical Inflation Model for Intracranial Saccular Aneurysm Elastodynamics, Rheology of a suspension of elastic particles in a viscous shear flow, Using Image and Curve Registration for Measuring the Goodness of Fit of Spatial and Temporal Predictions, Stabilization of mixed tetrahedral elements at large deformations, Slight compressibility and sensitivity to changes in Poisson's ratio, Non-metricity and the Nonlinear Mechanics of Distributed Point Defects, Contact problems for a finitely deformed incompressible elastic halfspace, An Asymptotic Analysis of the Period-Doubling Secondary Bifurcation in a Film/Substrate Bilayer, Nonlinear finite element implementation of micropolar hypo-elastic materials, Objectivity tests for Navier-Stokes simulations: the revealing of non-physical solutions produced by Laplace formulations, Galerkin-based mechanical integrators for finite elastodynamics formulated in principal stretches - Pitfalls and remedies, Biomechanics of traumatic brain injury, Constitutive models for almost incompressible isotropic elastic rubber-like materials, Finite element analysis of linear and non‐linear planar deformations of elastic initially curved beams, Computation of isotropic tensor functions, Initial Deformations On Behaviour Of Elastic Composites, A field theory approach to stability of radial equilibria in nonlinear elasticity, Finite element modeling of cerebral angioplasty using a structural multi-mechanism anisotropic damage model, Polygonal finite elements for finite elasticity, Coarse-grained modeling and simulation of graphene sheets based on a discrete hyperelastic approach, Computational structural and material stability analysis in finite electro-elasto-statics of electro-active materials, On the indentation of a polymeric membrane, On worm-like chain models within the three-dimensional continuum mechanics framework, Incremental equations and propagation of small amplitude waves for isotropic incompressible elastic bodies. The case the Hencky strain tensor is a function of the Cauchy stress tensor, Discretization Methods for Solids Undergoing Finite Deformations, Eulerian formulation and level set models for incompressible fluid-structure interaction, Waves in isotropic dispersive elastic solids, A one-dimensional computational model for hyperelastic string structures with Coulomb friction, Nonlinear elastic constitutive relations of residually stressed composites with stiff curved fibres, On Certain Deformation Classes of Compressible Hencky Materials, Estimation of cell proliferation dynamics using CFSE data, Impact of the thermo-mechanical behavior of elastomeric membrane on the flight dynamics of sounding balloons, Convex analysis of the eigenvalues of a 3D second-order symmetric tensor, Exact results for the homogenization of elastic fiber-reinforced solids at finite strain, Remarks on cavity formation in fiber-reinforced incompressible nonlinearly elastic solids, Successive linear approximation for large deformation -- instability of salt migration, Distortion of anisotropic hyperelastic solids under pure pressure loading: compressibility, incompressibility and near-incompressibility, Large deformation plasticity. From basic relations to finite deformation, On volumetric locking of low‐order solid and solid‐shell elements for finite elastoviscoplastic deformations and selective reduced integration, A method of two-scale analysis with micro-macro decoupling scheme: application to hyperelastic composite materials, Material deformation in a restricted Euler model for turbulent flows: Analytic solution and numerical tests, On homotopy conditions and the existence of multiple equilibria in finite elasticity, Finite elastoplastic deformation of membrane shells, Impact of Rectangular/Parabolic Shaped Irregularity on the Propagation of Shear Horizontal Wave in a Slightly Compressible Layered Structure, Composite and filament models for the mechanical behaviour of elastomeric materials, A bending quasi-front generated by an instantaneous impulse loading at the edge of a semi-infinite pre-stressed incompressible elastic plate, Remodeling of biological tissue: mechanically induced reorientation of a transversely isotropic chain network, Supersonic rupture of rubber, Deflections of a rubber membrane, The propagation and reflection of finite amplitude cylindrically symmetric shear waves in a hyperelastic incompressible solid, Numerical integration on the sphere and its effect on the material symmetry of constitutive equations-A comparative study, Poisson modes and general nonlinear constitutive models in the large displacement analysis of beams, Algorithms for computation of stresses and elasticity moduli in terms of Seth-Hill's family of generalized strain tensors, On a consistent finite-strain shell theory for incompressible hyperelastic materials, Unnamed Item, Physically based invariants for nonlinear elastic orthotropic solids, Nonlinear elasticity, fluctuations and heterogeneity of nematic elastomers, On the physical assumptions underlying the volumetric-isochoric split and the case of anisotropy, Estimation of the quasi-linear viscoelastic parameters using a genetic algorithm, Finite element modelling of saturated porous media at finite strains under dynamic conditions with compressible constituents, A stabilization technique to avoid hourglassing in finite elasticity, On the objective corotational rates of Eulerian strain measures, Numerical methods for porous metals with deformation-induced anisotropy, A meshless Total Lagrangian explicit dynamics algorithm for surgical simulation, Invariance of the equilibrium equations of finite elasticity for compressible materials, Numerical aspects associated with the implementation of a finite strain, elasto-viscoelastic-viscoplastic constitutive theory in principal stretches, Improved four-node Hellinger-Reissner elements based on skew coordinates, A theory of hyperelasticity of multi-phase media with surface/interface energy effect, On the elastica solution of a tensegrity structure: application to cell mechanics, Implicit numerical integration of a three-invariant, isotropic/kinematic hardening cap plasticity model for geomaterials, Ogden-type constitutive equations in finite elasticity of elastomers, Necessary conditions at the boundary for minimizers in incompressible finite elasticity, A model of incompressible isotropic hyperelastic material behavior using spline interpolations of tension-compression test data, Instability analysis in pressurized transversely isotropic Saint-Venant-Kirchhoff and neo-Hookean cylindrical thick shells, Derivatives on the isotropic tensor functions, Simulation of strain-induced anisotropy for polymers with weighting functions, Weakly Nonlinear Oscillations Superimposed on Finite Circumferential Shear of a Compressible, Nonlinear, Viscoelastic, Isotropic Material, Bounded elastic potentials for rubberlike materials with strain-stiffening effects, Higher derivatives and the inverse derivative of a tensor-valued function of a tensor, Computational issues in large strain elasto-plasticity: an algorithm for mixed hardening and plastic spin, Analysis of Shaft-Loaded Membrane Delamination Using Stationary Principles, Large Time Approximation for Shearing Motions, Global Well-Posedness of Incompressible Elastodynamics in Two Dimensions, Constitutive Modelling of Rubber-Like and Biological Materials with Limiting Chain Extensibility, An Asymptotically Consistent Model for Long-Wave High-Frequency Motion in a Pre-Stressed Elastic Plate, Vibration of a Surface-Coated Elastic Block Subject to Bending, Constitutive models for compressible nonlinearly elastic materials with limiting chain extensibility, Coarse-grained models of materials with non-convex free-energy: two case studies, A micro-macro approach to rubber-like materials. I: The non-affine micro-sphere model of rubber elasticity
