Une méthode numérique pour les problèmes d'équilibre de corps hyperélastiques compressibles en grandes déformations

DOI10.1007/BF01390123zbMath0545.73009OpenAlexW2444227640MaRDI QIDQ797336

Marina Vidrascu, Le Tallec, Patrick

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132897

zbMATH Keywords

iterative procedurenumerical exampleslarge deformationsUzawa's method2 and 3 dimensionsaugmented Lagrangian techniqueshyperelastic compressible bodies

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical and other methods in solid mechanics (74S99)

Related Items (3)

MATHEMATICAL ANALYSIS OF NONLINEAR BONDED JOINT MODELS ⋮ On the stability analysis of hyperelastic boundary value problems using three- and two-field mixed finite element formulations ⋮ Finite deformations of a hyperelastic, compressible and fibre reinforced tube

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A class of asymmetric simplicial finite element methods for solving finite incompressible elasticity problems
• On the anti-plane shear problem in finite elasticity
• Convexity conditions and existence theorems in nonlinear elasticity
• Finite-deformation analysis of the elastostatic field near the tip of a crack: Reconsideration and higher-order results
• Numerical Solution of Problems in Incompressible Finite Elasticity by Augmented Lagrangian Methods II. Three-Dimensional Problems
• Numerical Solution of Problems in Incompressible Finite Elasticity by Augmented Lagrangian Methods. I. Two-Dimensional and Axisymmetric Problems

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