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A VARIATIONALLY CONSISTENT APPROACH FOR NON-ASSOCIATIVE THERMOPLASTICITY AT FINITE STRAIN

The present paper deals with nonisothermal plasticity at finite strain. Both isotropic and kinematic hardening are included through a non-associative model of Armstrong-Frederick-type. The model proposed in the present contribution is based on the recent works [1, 2]. Within the papers [1, 2], a variationally consistent update was proposed. This update allows computing the state of a thermomechanical solid by minimizing a certain energy potential. The non-trivial extension of [1, 2] to non-associative evolution equations was realized through the introduction of an extended principle of maximum dissipation augmented by a suitable parameterization of evolution equations. The latter formulation was recently presented in [3] within the context of isothermal plasticity. Recently, these authors have extended this approach to non-isothermal plasticity [4]. The predictive capabilities of this model are critically analyzed and demonstrated in the present contribution.

Thermoelastoplasticity; variational consistent updates; cyclic plasticity

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