Regularity of solutions to coercive and self-controlling viscoplastic problems

DOI10.1016/J.JMAA.2011.08.005zbMath1231.35032OpenAlexW2062373128MaRDI QIDQ643555

Przemysław Kamiński

Publication date: 2 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.005

zbMATH Keywords

finite difference methodviscoplasticitymonotone operatorsdynamic systemsregularity of solutionsquasistatic systems

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)

Related Items (3)

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 ⋮ Solutions to the quasistatic problem from the theory of inelastic deformations with linear growth condition

Cites Work

• An introduction to Sobolev spaces and interpolation spaces
• On self-controlling models in the theory of nonelastic material behavior of metals
• Materials with memory. Initial-boundary value problems for constitutive equations with internal variables
• Nonhomogeneous initial-boundary value problems for coercive and self-controlling models of monotone type
• ON GLOBAL SPATIAL REGULARITY AND CONVERGENCE RATES FOR TIME-DEPENDENT ELASTO-PLASTICITY
• Local H1-regularity and H1/3−δ-regularity up to the boundary in time dependent viscoplasticity
• BOUNDARY REGULARITY RESULTS FOR MODELS OF ELASTO-PERFECT PLASTICITY
• Nonlinear problems in inelastic deformation theory
• Equivalent Norms for Sobolev Spaces
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