Rate-independent elastoplasticity at finite strains and its numerical approximation

DOI10.1142/S0218202516500512zbMath1349.35371OpenAlexW2514525788WikidataQ59901693 ScholiaQ59901693MaRDI QIDQ2833258

Tomáš Roubíček, Alexander Mielke

Publication date: 17 November 2016

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202516500512

zbMATH Keywords

hardeningplasticitypolyconvexity\(\Gamma\)-convergencefinite-element approximationenergetic solutionsquasistatic evolutionLavrentiev phenomenondissipation distanceSignorini contactCiarlet-Nečas conditionsecond-grade nonsimple materials

Mathematics Subject Classification ID

Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Classical linear elasticity (74B05) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Nonsimple materials (74A30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Variational principles of physics (49S05) PDEs in connection with mechanics of deformable solids (35Q74)

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