Compatibility condition and existence results in discrete finite incompressible elasticity

DOI10.1016/0045-7825(81)90151-1zbMath0524.73042OpenAlexW2025182711MaRDI QIDQ584964

Le Tallec, Patrick

Publication date: 1981

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(81)90151-1

zbMATH Keywords

existence of solutionscompatibility conditions between space of displacements and space of pressuresdiscretized equilibrium equationsfinite element spacesincompressible finite elasticityisoparametric elements

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

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On the convergence of the bilinear-velocity constant-pressure finite element method in viscous flow ⋮ On some mixed finite element methods for incompressible and nearly incompressible finite elasticity ⋮ Automatically inf − sup compliant diamond-mixed finite elements for Kirchhoff plates ⋮ Existence and approximation results for nonlinear mixed problems: Application to incompressible finite elasticity ⋮ A SINGULAR PROBLEM IN INCOMPRESSIBLE NONLINEAR ELASTOSTATICS ⋮ An arbitrary Lagrangian-Eulerian finite element method for incompressible hyperelasticity ⋮ A SINGULAR PROBLEM IN INCOMPRESSIBLE NONLINEAR ELASTOSTATICS ⋮ Numerical study of liquid crystal elastomers by a mixed finite element method

Cites Work

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• Existence theorems for a class of problems in nonlinear elasticity
• Ordinary differential equations of non-linear elasticity. II: Existence and regularity theory for conservative boundary value problems
• Convexity conditions and existence theorems in nonlinear elasticity
• Isochoric constant strain finite elements
• Note on large strain applications of modified constant strain finite elements
• Numerical Solution of Problems in Incompressible Finite Elasticity by Augmented Lagrangian Methods II. Three-Dimensional Problems
• A New Approach to Lagrange Multipliers
• Large elastic deformations of isotropic materials IV. further developments of the general theory