Investigation of Antiplane Shear Behavior of Two Collinear Permeable Cracks in a Piezoelectric Material by Using the Nonlocal Theory

Abstract

In the theoretical studies of crack problems, several different electric boundary conditions at the crack surfaces in piezoelectric materials have been proposed by numerous researchers (1234). However, these solutions contain stress and electric displacement singularity. This is not reasonable according to the physical nature. To overcome the stress singularity in the classical elastic theory, Eringen 5 used the nonlocal theory to study the state of stress near the tip of a sharp line crack in an elastic plate subjected to antiplane shear. The solution did not contain any stress singularity. Recently, the same problems have been resolved in Zhou’s papers (6) by using the Schmidt method.