scientific article; zbMATH DE number 1388894

DOI<745::AID-CNM288>3.0.CO;2-R 10.1002/(SICI)1099-0887(199910)15:10<745::AID-CNM288>3.0.CO;2-RzbMath0954.74065MaRDI QIDQ4933774

Rolf Mahnken

Publication date: 8 February 2001

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

zbMATH Keywords

linearizationNewton methodkinematic hardeningimplicit integrationvon Mises elastoplasticitynonlinear isotropic hardeningsecond-order convergence rateglobal equilibrium equationsone-dimensional local iteration

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)

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Implementation of an algorithm for general material behavior of steel taking interaction between plasticity and transformation-induced plasticity into account ⋮ On the exploitation of Armstrong-Frederik type nonlinear kinematic hardening in the numerical integration and finite-element implementation of pressure dependent plasticity models ⋮ Goal-oriented h-type adaptive finite elements for micromorphic elastoplasticity ⋮ On the theoretical and numerical modelling of Armstrong-Frederick kinematic hardening in the finite strain regime. ⋮ Cyclic plasticity using Prager's translation rule and both nonlinear kinematic and isotropic hardening: theory, validation and algorithmic implementation

Cites Work

• Consistent tangent operators for rate-independent elastoplasticity
• On the numerical treatment of finite deformations in elastoviscoplasticity
• Stress computation and consistent tangent operator using non‐linear kinematic hardening models
• Fully implicit integration and consistent tangent modulus in elasto‐plasticity