On the Nonequivalence of the Stress Space and Strain Space Formulations of Plasticity Theory

DOI10.1115/1.3167043zbMath0518.73027OpenAlexW2039611186MaRDI QIDQ3668027

James Casey, P. M. Naghdi

Publication date: 1983

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3167043

zbMATH Keywords

nonequivalence of stress space and strain space formulations

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Theory of constitutive functions in solid mechanics (74A20)

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Elastoplastic constitutive analysis with the yield surface in strain space ⋮ A strain-based relaxation theory of plasticity for anisotropic metals ⋮ The equivalence of stress- and strain-based plasticity theories ⋮ Variational inequality formulation for flow theory plasticity ⋮ Orientation of fracture in a brittle solid under conventional triaxial compression ⋮ A discontinuous Galerkin formulation of a model of gradient plasticity at finite strains ⋮ A strain space framework for numerical hyperplasticity ⋮ Variational inequality formulation in strain space and finite element solution of an elasto-plastic problem with hardening ⋮ A treatment of internally constrained elastic-plastic materials ⋮ Finite strain logarithmic hyperelasto-plasticity with softening: a strongly non-local implicit gradient framework ⋮ On the constitutive relations for isotropic and transversely isotropic materials ⋮ A critical review of the state of finite plasticity ⋮ A remark on the definition of hardening, softening and perfectly plastic behavior

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