In this paper a formulation of a model concept that, within the framework of continuum thermodynamics and finite strains, describes crystal (visco-) plasticity, crystal damage and non-local hardening of the gradient type. The model will in future be applied in simulations of duplex stainless steel (DSS) in order to predict how e.g. grain size, grain geometry and volume fraction of the two phases in DSS affect its fatigue properties. The crystal damage is based on the concept of fictitious (undamaged) configuration [1], and it is assumed to be driven by inelastic slip in each slip system. Furthermore, the non-local hardening, e.g. [2], in each slip system gives a contribution on each slip system which is added to the well established local hardening. The paper is concluded by a numerical study of how model parameters (such as grain size, damage rate) will influence the stress strain response of a simplified model of a polycrystal.
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