Kirilyuk V. Three-dimensional mixed problems of static of thermoelectroelasticity for the half-space

Manuscript is devoted to research of classes of mixed problems of thermoelectoelastcity for piezoelectric bodies with the plane crack and under contact interaction of piezoelectric bodies with punches. Approach, that it is based on correspondence between the solutions of problems was extended on problems of mechanics of coupled fields. There was established the correspondence of solutions of mixed problems of thermoelectricity to solutions of thermoelasticity problems. The variant of the approach that accounts the elliptical crack orientation there was developed. There were solved the new thermoelectroelasticity problems for plane cracks of circle, elliptical and parabolic forms and others and under contact interaction of elecroelastic half-space with plane and nonplanar punches of circular and elliptical cross-section. The essential mechanical effects were detected, which are caused by the coupled force and electrical fields field, and also the crack orientation in the material.