LAUSR

Abstract This paper provides an analytical approach to calculate mixed-mode field intensity factors of multiple defects in a piezoelectric half-plane. Both the permeable and impermeable boundary conditions are adopted. In this study, the crack problem analysis caused by climb, glide and electric dislocation in the piezoelectric half-plane. The Fourier transform is employed and close-form solutions are obtained for the stress and electric displacements in the medium. Then, the solutions are used to derive singular integral equations for the dislocation density on the face of multiple cracks. These equations are solved numerically to determine the field intensity factors in a piezoelectric half-plane. Finally, several examples are solved and the effects of the cracks interactions, geometrical parameters and loading conditions are investigated.