AN EVOLUTIONARY ELASTOPLASTIC PLATE MODEL DERIVED VIA Γ-CONVERGENCE

DOI10.1142/S0218202511005611zbMath1232.35165WikidataQ59901650 ScholiaQ59901650MaRDI QIDQ3107958

Matthias Liero, Alexander Mielke

Publication date: 28 December 2011

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

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)

Related Items (13)

Variational Approaches and Methods for Dissipative Material Models with Multiple Scales ⋮ Quasistatic evolution of perfectly plastic shallow shells: a rigorous variational derivation ⋮ Quasistatic delamination of sandwich-like Kirchhoff-Love plates ⋮ Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity ⋮ Homogenization of Cahn-Hilliard-type equations via evolutionary \(\Gamma\)-convergence ⋮ A quasistatic evolution model for perfectly plastic plates derived by \(\varGamma\)-convergence ⋮ Dynamic Perfect Plasticity as Convex Minimization ⋮ Fatigue accumulation in a thermo-visco-elastoplastic plate ⋮ Rigorous derivation of a plate theory in linear elastoplasticity via \(\Gamma\)-convergence ⋮ A dynamic evolution model for perfectly plastic plates ⋮ Quasistatic evolution models for thin plates arising as low energy Γ-limits of finite plasticity ⋮ Fatigue and phase transition in an oscillating elastoplastic beam ⋮ Quasistatic evolution of magnetoelastic plates via dimension reduction

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