Abstract

This paper deals with a formulation of nonlocal plasticity with internal variables. The constitutive model complies with local internal variables which govern kinematic hardening and isotropic softening and with a nonlocal corrective internal variable. The constitutive problem is cast in the framework provided by convex analysis and the potential theory for monotone multivalued operators which provide suitable tools for performing a theoretical analysis of such nonlocal problems. Several variational formulations with different combinations of state variables are provided.

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