Abstract
The solutions for a mode III crack growing along an arbitrarypropagation path in a piezoelectric plane are studied under theimpermeable surface condition and the electrical contact surfacecondition respectively. According to the two kinds of electric boundaryconditions, the Hilbert and Riemann boundary value problems in ahalf-plane including opening smooth arc are obtained from thetheoretical analysis. Moreover, the equipollence of the solution formedunder these two electric boundaries is proved, and unified solutionsfor the stress and electric displacement distribution in thecrack-tipfield of the piezoelectric plane are achieved.
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