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Constitutive relations for isotropic or kinematic hardening at finite elastic–plastic deformations

Authors
Journal
International Journal of Solids and Structures
0020-7683
Publisher
Elsevier
Publication Date
Volume
43
Identifiers
DOI: 10.1016/j.ijsolstr.2005.07.033
Keywords
  • Constitutive Relation
  • Rate-Independent
  • Finite Elastic–Plastic Deformation
  • Isotropic And Kinematic Hardening
  • Back Stress
  • Objective Derivative
Disciplines
  • Philosophy

Abstract

Abstract The rate-type constitutive relations of rate-independent metals with isotropic or kinematic hardening at finite elastic–plastic deformations were presented through a phenomenological approach. This approach includes the decomposition of finite deformation into elastic and plastic parts, which is different from both the elastic–plastic additive decomposition of deformation rate and Lee’s elastic–plastic multiplicative decomposition of deformation gradient. The objectivity of the constitutive relations was dealt with in integrating the constitutive equations. A new objective derivative of back stress was proposed for kinematic hardening. In addition, the loading criteria were discussed. Finally, the stress for simple shear elastic–plastic deformation was worked out.

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