Numerical Analysis of a Nonlinear Evolutionary System with Applications in Viscoplasticity

DOI10.1137/S003614299834842XzbMath0980.65105MaRDI QIDQ4509726

Jiuhua Chen, Weimin Han, Mircea Sofonea

Publication date: 19 October 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergencefinite element methoderror estimationsemidiscretizationelastic-viscoplastic materialsabstract nonlinear evolutionary systemsquasi-static frictional contact problems

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Nonlinear parabolic equations (35K55) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in solid mechanics (74S20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (5)

On a dynamic contact problem for elastic-viscoplastic materials ⋮ A quasistatic contact problem with normal compliance and damage involving viscoelastic materials with long memory ⋮ Numerical solution of the quasistatic contact problem with the Tresca friction in elastic-viscoplastic materials by the element-free Galerkin method ⋮ Analysis of two frictional viscoplastic contact problems with damage ⋮ An elastic-viscoplastic quasistatic contact problem with damage

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