Lie symmetries of finite strain elastic-perfectly plastic models and exactly consistent schemes for numerical integrations

DOI10.1016/j.ijsolstr.2003.11.008zbMath1106.74327OpenAlexW1977083817MaRDI QIDQ597822

Chein-Shan Liu

Publication date: 6 August 2004

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2003.11.008

zbMATH Keywords

symmetriesLieLorentz groupElastoplasticityConsistent schemesFinite strain modelsObjective stress ratesQuaternionic two-component spinor

Mathematics Subject Classification ID

Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (6)

Symmetries in Mechanics: From Field Theories to Master Responses in the Constitutive Modeling of Materials ⋮ Symmetry analysis and invariance relations in creep ⋮ A study of type I intermittency of a circular differential equation under a discontinuous right-hand side ⋮ Covariant hypo-elasticity ⋮ Automatic consistency integrations for the stress update of J ₂ elastoplastic rate constitutive equations with combined hardening ⋮ Elastoplasticity beyond small deformations

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