Electro-elastic Green's functions for a piezoelectric half-space and their application

In this paper, as is studied are the electro-elastic solutions for a piezoelectric half-space subjected to a line force, a line charge and a line dislocation, i. e., Green's functions on the basis of Stroh formalism and the concept of analytical continuation, explicit expressions for Green's functions are derived. As a direct application of the results obtained, an infinite piezoelectric solid containing a semi-infinite crack is examined. Attention if focused on the stress and electric displacement fields of a crack tip. The stress and electric displacement intensity factors are given explicitly.