A finite element formulation for elastoplasticity based on a three-field variational equation

DOI10.1016/0045-7825(87)90115-0zbMath0591.73082OpenAlexW2064232961MaRDI QIDQ1075108

Peter M. Pinsky

Publication date: 1987

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(87)90115-0

zbMATH Keywords

algorithmsNewton's methodlinearizationreturn mappingweak formrate-dependentdilatational constitutive equationgeneral nonlinear isotropic and kinematic strain hardeninghardening elastoplasticityintegration of the elastoplastic rate constitutive equationsmomentum balance equationnonlinear finite element equationsplastic consistency conditionplastic incompressibility constraintthree-field mixed variational formulationthree-field variational equationvon Mises plasticity model

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05)

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Cites Work

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• Consistent tangent operators for rate-independent elastoplasticity
• A unified approach for displacement, equilibrium and hybrid finite element models in elasto-plasticity
• Operator split methods for the numerical solution of the elastoplastic dynamic problem
• On numerically accurate finite element solutions in the fully plastic range
• A variational principle for incompressible and nearly-incompressible anisotropic elasticity
• Accuracy and stability of integration algorithms for elastoplastic constitutive relations