Thermoelectromechanical Interaction Between Two Parallel Cracks in a Piezoelectric Strip

Thermoelectromechanical Response of a Piezoelectric Strip with Two Parallel Cracks of Different Lengths

“…The boundary condition at infinity x → ± is taken to be zero displacement in the x-direction. The cases of = 0 0 and = 1 0 of this problem correspond to the previous problems [12,16], respectively. The material properties, such as the elastic stiffness constants, the piezoelectric constants, the dielectric constants, the stress-temperature coefficients, the coefficients of heat conduction, and the pyroelectric constant are denoted by c jk e jk jj jj x z and p z , respectively.…”

“…Making use of the first boundary conditions (16) with Eqs. (17), we have the following system of the singular integral equations for the determination of the unknown functions G 10 t and G 20 t :…”

“…The system of the singular integral equations (21) is to be solved with the following subsidiary conditions obtained from the second boundary conditions (16).…”

“…where the functions R ijk s and constants h ij i = 0 1 2 j k = 1 2 are also given in Appendix A of [16].…”

“…To the author's knowledge, the interactions of multiple cracks under the thermal load have received very few attentions for piezoelectric materials. Although the present author treated the thermal fracture problems of a piezoelectric strip with two parallel cracks [16] and two coplanar cracks [17] of the same length, one of the remaining problems that needs to be fully understood is that of interaction between cracks of different lengths in such media subjected to thermal loading.…”