Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems

DOI10.1016/0020-7225(94)00057-QzbMath0899.73532OpenAlexW2115034111MaRDI QIDQ1385553

Gregory A. Seregin, Sergey I. Repin

Publication date: 15 November 1998

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(94)00057-q

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items

A posteriori error estimation for elasto-plastic problems based on duality theory ⋮ A priori error estimates of variational-difference methods for Hencky plasticity problems ⋮ A posteriori error estimation for nonlinear variational problems by duality theory ⋮ Estimates of deviations from exact solutions of variational problems with linear growth functionals ⋮ A Posteriori Error Estimates for the Approximations of the Stresses in the Hencky Plasticity Problem ⋮ A posteriori error estimation for variational problems with uniformly convex functionals ⋮ Functional a posteriori error estimates for incremental models in elasto-plasticity

Cites Work

• Existence of the displacements field for an elasto-plastic body subject to Hecky's law and von Mises yield condition
• Analysis of some finite element methods for a class of problems in elasto-plasticity
• A finite element analysis for elastoplastic bodies obeying Hencky's law
• The Galerkin method for abstract variational problems
• Shape optimization of elastoplastic bodies obeying Hencky's law
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