Moving eccentric crack in a piezoelectric strip bonded to elastic half planes

Abstract

We consider the problem of determining the singular stresses and electric fields in a piezoelectric ceramic strip which contains an eccentric crack moving at constant speed. The strip is sandwiched between two elastic half planes under combined anti-plane mechanical shear and in-plane electrical loadings. The analysis is conducted on the permeable crack condition by the integral transform approach. The field intensity factors and energy release rate are obtained in terms of a Fredholm integral equation of the second kind. Some numerical results for the dynamic stress intensity factor and the dynamic energy release rate are presented graphically to show the effects of the crack propagation speed as well as the electromechanical coupling coefficient. The initial crack branch angle for a PZT-5H piezoceramic structure is also predicted by maximum energy release rate criterion.