ON THE DYNAMIC FRACTURE OF PIEZOELECTRIC MATERIALS
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Abstract
Some problems in the fracture theory of piezoelectric materials are studied in the quasielectrostatic approximation. Asymptotic near-tip expressions for mechanical and electric fields are obtained, using a complex-variable approach. A closure-integral formula for the quasielectrostatic energy release rate is given, which permits the evaluation of this energy by the solution previously obtained. The connection between two electroelastic crack-extension forces provided by different forms of the energy balance is established. For the antiplane fracture of a transversely isotropic piezoelectric solid the stress and electrical intensity factors are obtained for small time values. The use of a Griffith-type propagation criterion leads to a differential equation for the crack-tip trajectory which is numerically solved and the solution dependence on the applied electric field is investigated