Rigorous derivation of a plate theory in linear elastoplasticity via \(\Gamma\)-convergence

DOI10.1007/s00030-011-0137-yzbMath1253.35180OpenAlexW2103547058WikidataQ59901644 ScholiaQ59901644MaRDI QIDQ692797

Matthias Liero, Thomas Roche

Publication date: 6 December 2012

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-011-0137-y

zbMATH Keywords

hysteresisMosco convergence\(\Gamma \)-convergencegeneralized Prandtl-Ishlinskii operatorlinearized elastoplasticityrate-independent system

Mathematics Subject Classification ID

Plates (74K20) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Methods involving semicontinuity and convergence; relaxation (49J45) PDEs in connection with mechanics of deformable solids (35Q74)

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