Thermal effect on the transient waves in piezoelectric half-space subjected to dynamic loading

Propagation of transient waves in the piezoelectric half-space under anti-plane dynamic force and in-plane electrical displacement loading is studied theoretically when thermal effect considered. One-sided and two-sided Laplace transforms are firstly employed in obtaining the solutions of mechanical displacement, electrical potential, shear stress and electrical displacement in Laplace space. Cagniard-de Hoop method is then adopted for inverse Laplace transform in determining the analytical transient solutions in time domain. Transient response of the mechanical displacement, shear stress, electric potential and displacement are finally evaluated numerically, and the effect of thermal stress on the transient waves propagating in the piezoelectric half-space is discussed in details. Furthermore, two different electro-mechanic boundary conditions are considered for the propagation of transient waves in the piezoelectric half-space.