Numerical analysis of evolution problems in nonlinear small strains elastoviscoplasticity

DOI10.1007/BF01406513zbMath0674.73032MaRDI QIDQ1121704

Michel Ravachol, Le Tallec, Patrick, Dominique Blanchard

Publication date: 1989

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133350

zbMATH Keywords

maximal monotone operatornonlinear equationspreconditioned conjugate gradient algorithmMaxwellconvex optimisationKelvinfinite elements in spaceBurger's type constitutive modelEuler's backward discretization in timefour internal variablesisotropic plasticity

Mathematics Subject Classification ID

Related Items (6)

Global existence and boundedness of large solutions to nonlinear equations of viscoelasticity with hardening ⋮ Coercive limits for constitutive equations of monotone-gradient type ⋮ Homogenization of nonlinear visco-elastic composites ⋮ A system of ordinary and partial differential equations describing creep behaviour of thin-walled shells ⋮ Unnamed Item ⋮ Homogenization of the nonlinear Kelvin-Voigt model of viscoelasticity and of the Prager model of plasticity

Cites Work

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• Numerical analysis of the equations of small strains quasistatic elastoviscoplasticity
• On numerically accurate finite element solutions in the fully plastic range
• Integrals which are convex functionals
• Numerical Solution of Viscoplastic Flow Problems by Augmented Lagrangians
• Nonlinear viscoelasticity with time-dependent coefficients
• Evolution problems for a class of dissipative materials

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