表面に平行なき裂を有する対称傾斜機能圧電厚板の非定常電気熱弾性応答

概要

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In this study, the theoretical analysis of a transient piezothermoelastic problem is developed for a symmetrical functionally graded piezoelectric slab containing a center crack parallel to the free boundaries under thermal shock loading conditions. It is assumed that initially the medium is at the uniform temperature and is suddenly subjected to a uniform temperature rise along the traction-free boundaries. 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 singular integral equations, respectively. The singular integral equations are solved by using the Gauss-Jacobi integration formula. Numerical methods are then employed to obtain the time dependent solutions by way of a Laplace inversion technique. The dynamic stress intensity factors, temperature change and stress distributions versus time are presented for various values of deimensionless parameters representing the crack size and the material nonhomogeneity.
2007-09-25