Stochastic homogenization of rate-dependent models of monotone type in plasticity

DOI10.3233/ASY-181502zbMath1418.35342arXiv1701.03505MaRDI QIDQ5226368

Martin Heida, Sergiy Nesenenko

Publication date: 31 July 2019

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03505

zbMATH Keywords

plasticityrandom microstructurestochastic homogenization\(\Gamma\)-convergencerandom measuresPalm measuresstochastic two-scale convergencemonotone operator methodFitzpatrick's function

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) PDEs in connection with mechanics of deformable solids (35Q74) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

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Stochastic two-scale convergence and Young measures ⋮ Stochastic homogenization on perforated domains II – Application to nonlinear elasticity models ⋮ Stochastic homogenization of maximal monotone relations and applications ⋮ Stochastic Unfolding and Homogenization of Spring Network Models

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