Local H1-regularity and H1/3−δ-regularity up to the boundary in time dependent viscoplasticity

DOI10.3233/ASY-2009-0933zbMath1179.35324OpenAlexW1794418751MaRDI QIDQ3398996

Sergiy Nesenenko, Hans-Dieter Alber

Publication date: 29 September 2009

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

Full work available at URL: https://doi.org/10.3233/asy-2009-0933

zbMATH Keywords

interpolationregularitymaximal monotone operatorplasticityviscoplasticitydifference quotient techniquemodel of Melan-Prager

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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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Regularity results for two standard models in elasto-perfect-plasticity theory with hardening ⋮ Regularity of solutions to coercive and self-controlling viscoplastic problems ⋮ Well-posedness of non-autonomous evolutionary inclusions ⋮ A first regularity result for the Armstrong-Frederick cyclic hardening plasticity model with Cosserat effects ⋮ Boundary regularity for self-controlling and Cosserat models of viscoplasticity: Interior estimates for models of power type ⋮ H¹_loc-stress and strain regularity in Cosserat plasticity ⋮ On global spatial regularity in elasto-plasticity with linear hardening ⋮ A local regularity result for the relaxed micromorphic model based on inner variations

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