A closed crack tip model for interface cracks inthermopiezoelectric materials

version of Stroh|s formalism and singular integral equation approach[ The interface crack considered is subjected to combined thermal\ mechanical and electric loads[ Under the applied loading\ the interface crack is assumed to be partially opened[ Formulation of the problem results in a set of singular integral equations which are solved numerically[ The study shows that the contact zone is extremely small in comparison with the crack length[ Based on the formulation\ some physically meaningful quantities of interest such as stress intensity factors and size of contact zone for a particular material group are analyzed