A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. I: Continuum formulation

DOI10.1016/0045-7825(88)90076-XzbMath0611.73057MaRDI QIDQ1087369

Publication date: 1988

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

elastoplasticity finite strains covariance yield condition material frame indifference Kuhn-Tucker optimality condition strain-space formulation multiplicative decomposition of the deformation gradient deviatoric plasticity hyperelastic extension of \(J_ 2\)-flow theory isochoric constraint not preclude anisotropic response principle of maximum plastic dissipation reduced forms of the free energy

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plastic materials, materials of stress-rate and internal-variable type (74C99) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

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