Modeling and simulation of conducting crack propagation in ferroelectric single crystals under purely electrical loading
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We present a phase-ﬁeld model of fracture in ferroelectric single crystals for the simulation of conducting crack propagation under purely electrical loading. This is done by introducing the electrical enthalpy of a diﬀuse conducting layer into the phase-ﬁeld formulation. Simulation results show an oblique crack propagation and crack branching from a conducting notch in a ferroelectric sample under applied electric ﬁelds. Microstructure evolution indicates the formation of 90o domains which results in a charge accumulation around the crack. The charge accumulation, in turn, induces a high electric ﬁeld and hence a high electrostatic energy for driving the conducting crack.