Comparison of the solutions of the elastic and elastoplastic boundary value problems

DOI10.1007/S00033-009-0042-YzbMath1273.74119OpenAlexW2087330384MaRDI QIDQ638683

Michael Speckert, Holger Lang, René Pinnau, Klaus Dressler

Publication date: 13 September 2011

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-14620

zbMATH Keywords

hysteresisvariational inequalitieslinear kinematic hardeningrate-independenceelastic BVPelastoplastic BVPlinear kinematic plus isotropic hardeningstop and play operator

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Notes on Lipschitz estimates for the stop and play operator in plasticity
• Plasticity. Mathematical theory and numerical analysis
• Maximum norm well-posedness of nonlinear kinmatic hardening models
• A remark on the local Lipschitz continuity of vector hysteresis operators.
• Applied functional analysis. Applications to mathematical physics. Vol. 1
• Local Lipschitz continuity of the stop operator
• Wellposedness of kinematic hardening models in elastoplasticity
• Mechanics of Solid Materials
• Vector hysteresis models
• Modeling of Cyclic Ratchetting Plasticity, Part I: Development of Constitutive Relations
• Convex Analysis
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