TRANSIENT THERMOELECTROMECHANICAL RESPONSE OF A PIEZOELECTRIC STRIP WITH TWO PARALLEL CRACKS OF DIFFERENT LENGTHS

摘要

In this study, the theoretical analysis of a transient piezothermoelastic problem is developed for a piezoelectric strip with two parallel cracks of different lengths under thermal shock loading conditions. The crack faces are supposed to be insulated thermally and electrically. By using both the Laplace transform and the Fourier transform, the thermal and electromechanical problems are reduced to two systems of singular integral equations, respectively, which are solved numerically. A numerical method is then employed to obtain the time-dependent solutions by way of a Laplace inversion technique. The intensity factors versus time for various geometric parameters are calculated.