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Transformation of a nonlinear kinematic hardening rule to a multisurface form under isothermal and nonisothermal conditions

Authors
Journal
International Journal of Plasticity
0749-6419
Publisher
Elsevier
Publication Date
Volume
7
Issue
8
Identifiers
DOI: 10.1016/0749-6419(91)90023-r

Abstract

Abstract A nonlinear kinematic hardening rule with back stress decomposed into components is transformed to a multisurface form. First it is shown under isothermal conditions that the multisurfaces generated by the transformation are nested and obey a Mroz-type translation rule. It is also shown that the multisurface form can be specialized to a piecewise linear kinematic hardening rule. The transformation is then applied to a time recovery term describing thermal softening and a temperature-rate term operating in nonisothermal inelasticity. A multisurface model is thus derived for nonisothermal, as well as isothermal, plasticity and viscoplasticity.

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