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We propose a phase‐field model for ductile fracture in a single crystal within the kinematically linear regime, by combining the theory of single crystal plasticity as formulated in Gurtin et al. [1] and the phase‐field formulation for ductile fracture proposed by Ambati et al. [2]. The model introduces coupling between plasticity and fracture through the dependency of the socalled degradation function...
Variational formulations are constructed for rate‐independent problems in single‐crystal strain‐gradient plasticity. The framework makes use of the flow rule expressed in terms of a dissipation function. The formulation extends to the finite‐deformation context earlier work on this problem. Provision is made for energetic and dissipative microstresses, and a range of defect energies is accounted for...
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