Les equations de von Kármán

From MaRDI portal
Publication:1139398

DOI10.1007/BFb0091528zbMath0433.73019OpenAlexW1491565741MaRDI QIDQ1139398

Philippe G. Ciarlet, Patrick J. Rabier

Publication date: 1980

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0091528




Related Items (only showing first 100 items - show all)

Well‐posedness and dynamics for the von Karman equation with memory and nonlinear time‐varying delayUnnamed ItemFrom the classical to the generalized von Kármán and Marguerre--von Kármán equationsForced vibration of an aero-elastic plateOn the optimal control problem governed by the equations of von Kármán. I. The homogeneous Dirichlet boundary conditionsQualitative results on the dynamics of a Berger plate with nonlinear boundary dampingAsymptotic analysis of linearly elastic shells. I: Justification of membrane shell equationsA unilateral contact model with buckling in von Kármán platesOn the solvability in Hilbert space of certain nonlinear operator equations depending on parametersNonlinear elastic plate in a flow of gas: recent results and conjecturesOn the solutions of a dynamic contact problem for a thermoelastic von Kármán plateBifurcation problems with \(O(2)\oplus Z_ 2\) symmetry and the buckling of a cylindrical shellJunction between a plate and a rod of comparable thickness in nonlinear elasticityON THE GENERALIZED VON KÁRMÁN EQUATIONS AND THEIR APPROXIMATIONA justification of the Marguerre-von Kármán equationsFinite deformation of thin shells in the context of analytical mechanics of material surfacesA nonlinear elastic plate model of moderate thickness: Existence, uniqueness and dualityFinite dimensional smooth attractor for the Berger plate with dissipation acting on a portion of the boundaryMathematical justification of a one-dimensional model for general elastic shallow archesAsymptotic behavior of a structure made by a plate and a straight rodBuckling for an elastoplastic plate with an incremental constitutive relationIdentification of flexural rigidity in a Kirchhoff plates model using a convex objective and continuous Newton methodAttractors for Delayed, Nonrotational von Karman Plates with Applications to Flow-Structure Interactions Without any DampingAdaptive neuro-fuzzy vibration control of a smart plateOn von Kármán equations for viscoelastic platesLong-time dynamics of vectorial von Karman system with nonlinear thermal effects and free boundary conditionsThe projective-iterative method and neural network estimation for buckling of elastic plates in nonlinear theoryMarguerre-Von Kármán equations and membrane modelGaussian curvature as an identifier of shell rigidityUnnamed ItemPressure potential formulation of 2-D stokes problems in multiply-connected domainsEstimation of elastic parameters in a von Karman modelSome global results for eigenvalue problems governed by a variational inequalityGeometrically non‐linear elastic model for a thin composite layer with wavy surfacesJustification and solvability of dynamical contact problems for generalized Marguerre–von Kármán shallow shellsFinite element approximation of optimal control problems for the von Kármán equationsOn the bifurcation of solutions to Marguerre-von Kármán equationsAn Intrinsic Formulation of the von Kármán EquationsElastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-spaceBlow-up of solutions to von Karman equations with arbitrary initial energyBuckling and postbuckling analysis of rectangular plates resting on elastic foundations with the use of the spectral methodLong-time dynamics of a hinged-free plate driven by a nonconservative forceStacking sequence and shape optimization of laminated composite plates via a level-set methodÜber Beulen Eingezwängter PlattenAsymptotic behavior for textiles in von-Kármán regimeA remark on the von Kármán equationsGlobal smooth attractors for dynamics of thermal shallow shells without vertical dissipationGlobal well posedness of the dynamic von Kármán equations for generalized solutionsOn the Hemivariational Inequality Approach to Nonconvex Constrained Problems in the Theory of von Kármán PlatesOn the optimal control problem governed by the equations of von Kármán. II. Mixed boundary conditionsOn the numerical analysis of the Von Kármán equations: Mixed finite element approximation and continuation techniquesEstimation of elastic parameters in a nonlinear elliptic model of a plateNonlinear donati compatibility conditions and the intrinsic approach for nonlinearly elastic platesFlow-plate interactions: well-posedness and long-time behaviorEliminating flutter for clamped von Karman plates immersed in subsonic flowsOn Nonstationary von Kármán EquationsThe buckling of elastic spherical capsThe spectral method and numerical continuation algorithm for the von Kármán problem with postbuckling behaviour of solutionsVon Kármán equations. III: Solvability of the von Kármán equations with conditions for geometry of the boundary of the domainThe effect of different scalings in the modelling of nonlinearly elastic plates with rapidly varying thicknessModeling and optimization of non-symmetric platesConforming finite element methods for the von Kármán equationsA nonlinear eigenvalue problem governing the eversion of elastic spherical capsNoncoercive hemivariational inequality and its applications in nonconvex unilateral mechanicsApplication of lie groups to the theory of shells and rodsAn evolution von Kármán equation modeling suspension bridgesA \(C^0\) interior penalty method for a von Kármán plateLong-time behavior of partially damped systems modeling degenerate plates with piersA time spectral method for solving the nonlinear dynamic equations of a rectangular elastic plateAn asymptotic theory of thin hyperelastic plates. II: Incompressible solids and an application of the general theoryWeak and strong solutions of a nonlinear subsonic flow-structure interaction: semigroup approachEstimation of material parameters in a dynamic nonlinear plate modelUnnamed ItemSolvability of Semilinear Equations with Compact Perturbations of Operators of Monotone TypeThin elastic and periodic platesUnnamed ItemModeling suspension bridges through the von Kármán quasilinear plate equationsBuckling and postcritical behaviour of the elastic infinite plate strip resting on linear elastic foundationMathematical justification of viscoelastic beam models by asymptotic methodsUnnamed ItemQuasi-bounded mappings and complementarity problems depending of parametersOn the Korn Interpolation and Second Inequalities in Thin DomainsNonlinear plates interacting with a subsonic, inviscid flow via Kutta-Joukowski interface conditionsMinimization of energies related to the plate problemHybrid control of vibrations of a smart von Kármán plateOn the semidiscretization and linearization of pseudoparabolic von Kármán system for viscoelastic platesAn averaging theorem for distributed conservative systems and its application to von Kármán's equationsUniform stability in a vectorial full von Kármán thermoelastic system with solenoidal dissipation and free boundary conditionsA new model for nonlinear elastic plates with rapidly varying thickness, ii: the effect of the behavior of the forces when the thickness approaches zeroAn existence theorem for a non linear shell model in large displacements analysisA virtual element method for the von Kármán equationsOn group analysis of the von Kármán equationsGeneration of bounded semigroups in nonlinear subsonic flow-structure interactions with boundary dissipationNumerical analysis of the generalized von Kármán equationsFolds and Cusps in Banach Spaces with Applications to Nonlinear Partial Differential Equations. IIOn large deflections of viscoelastic platesExistence of solutions to obstacle problems for linear and nonlinear elastic plates.Structural acoustic problem and dynamic nonlinear plate equationsConvergence of equilibria for incompressible elastic plates in the von Kármán regimeAsymptotic models for a long, elastic cylinder




This page was built for publication: Les equations de von Kármán