ANALYSIS OF A TRANSIENT ELASTODYNAMIC CRACK IN PIEZOELECTRIC MATERIALS USING A SINGULAR INTEGRAL EQUATION METHOD

Using the Betti-Rayleigh reciprocity theorem, the general solutions and the singular integral equa-tions for a two dimensional impermeable crack problem in an infinite transversely isotropic piezoelectric solid under mechanical and electrical impact loads are obtained. The unknown functions are the derivatives of the discontinuities of elastic displacements and electric potentials of the crack. Then, Gauss-Chebyshev quadrature formula and Lubich convolution quadrature formula are applied to solve the integral equations numerically. Finally, numerical solutions are obtained for a typical example. It is shown that the numerical solutions are satisfactory.