A class of asymmetric simplicial finite element methods for solving finite incompressible elasticity problems

DOI10.1016/0045-7825(81)90136-5zbMath0467.73098OpenAlexW2044858519MaRDI QIDQ1156000

Vitoriano Ruas

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)90136-5

zbMATH Keywords

optimalitycompatibilitythree dimensionalincompressible materialstwo dimensionalclass of piecewise reduced quadratic, conforming, simplicial finite elements

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (7)

Méthodes d'éléments finis quasilinéaires en déplacement pour l'étude de milieux incompressibles ⋮ A SINGULAR PROBLEM IN INCOMPRESSIBLE NONLINEAR ELASTOSTATICS ⋮ Decomposition methods for adherence problems in finite elasticity ⋮ A SINGULAR PROBLEM IN INCOMPRESSIBLE NONLINEAR ELASTOSTATICS ⋮ Une méthode numérique pour les problèmes d'équilibre de corps hyperélastiques compressibles en grandes déformations ⋮ Quasisolenoidal velocity-pressure finite element methods for the three-dimensional Stokes problem ⋮ The solution of multi-parameter systems of equations with application to problems in nonlinear elasticity

Cites Work

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• Error estimates for finite element method solution of the Stokes problem in the primitive variables
• Existence and approximation results for nonlinear mixed problems: Application to incompressible finite elasticity

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