Original ArticleKinematic hardening rules in finite plasticity Part I: A constitutive approach
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Plasticity laws exhibiting non-linear kinematichardening are considered within the framework of infinitesimal deformations. The evolution equations governing the response of kinematic hardening are derived as sufficient conditions in order for the intrinsic dissipation inequality to be satisfied in every process. With a view to the extension to finite deformations, two basic possibilities are proposed. In every case, an isotropic elasticity law with respect to the so-called plastic intermediate configuration is assumed to hold. The theory applicable to finite deformations is based on the concept of so-called dual variables and associated time derivatives. Thus, the main difference between the present work and other contributions in this area is the choice of the variables used to formulate the theory. In fact, using dual variables, hardening rules are derived as sufficient conditions for the intrinsic dissipation inequality to be satisfied in every process. This is quite analogous to the case of infinitesimal deformation, but now the hardening rules take a very specific form which is explained in the paper.
KeywordsEvolution Equation Specific Form Time Derivative Dual Variable Kinematic Hardening
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