Well-posedness for dislocation-based gradient viscoplasticity. II: General nonassociative monotone plastic flows

DOI10.2140/memocs.2013.1.149zbMath1304.35175OpenAlexW1972582689MaRDI QIDQ397111

Sergiy Nesenenko, Patrizio Neff

Publication date: 8 August 2014

Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/memocs.2013.1.149

zbMATH Keywords

dislocationsplastic spingradient plasticityrate-dependent responseKorn's inequality for incompatible tensor fieldsmaximal monotone methodRothe's time-discretization method

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Monotone operators and generalizations (47H05) Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Boundary value problems for second-order elliptic equations (35J25) Nonlinear differential equations in abstract spaces (34G20) Set-valued operators (47H04) Evolution inclusions (34G25) Nonlinear constitutive equations for materials with memory (74D10)

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