Abstract
An anti-plane shear stress problem of crack arrest for a single crack weakening a piezo-electro-magnetic, unbounded, poled plate is investigated under remotely applied anti-plane mechanical loads and in-plane electromagnetic loads. Under applied loads the crack opens in self-similar fashion yielding mechanically, electrically and magnetically. The crack opening is arrested by prescribing yield-point mechanical, electrical and magnetic cohesive loads over the developed mechanical, saturation and induction zones rims, respectively. Two cases are considered when developed electrical zone is (i) bigger and (ii) equal to developed induction zone. The piezo-electro-magnetic ceramic being brittle the developed mechanical zones are assumed to be smallest. Solution is obtained using Fourier integral transforms. Closed-form analytic expressions are obtained for crack sliding displacement, crack opening potential drop, crack opening induction drop and energy release rate. Expressions are also obtained for determining length of each of developed mechanical, saturation and induction zones.
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