scientific article

DOI<457::AID-NLA173>3.0.CO;2-P 10.1002/(SICI)1099-1506(199909)6:6<457::AID-NLA173>3.0.CO;2-PzbMath1010.74072MaRDI QIDQ2760365

Christian Wieners

Publication date: 19 December 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

convergenceelastoplasticityadaptivitydiagonally implicit Runge-Kutta methodsNewton methodmultigrid methodstangent operatormaterial response functionsB-stabilityincremental finite element methodPrandtl-Reuss plasticityglobal equilibrium conditioninterpolation of material historyplasticity interface

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (4)

Order reduction in computational inelasticity: Why it happens and how to overcome it-The ODE-case of viscoelasticity ⋮ Criteria for the approximation property for multigrid methods in nonnested spaces ⋮ A duality-based path-following semismooth Newton method for elasto-plastic contact problems ⋮ Duality results and regularization schemes for Prandtl–Reuss perfect plasticity

Cites Work

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• Transfer operators for evolving meshes in small strain elasto-plasticity
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• Materials with memory. Initial-boundary value problems for constitutive equations with internal variables
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• Inexact Newton solvers in plasticity: theory and experiments
• Parallel adaptive multigrid methods in plane linear elasticity problems
• UG -- a flexible software toolbox for solving partial differential equations

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