Khodanen T. The plane problems for composite isotropic and piezoelectric/piezomagnetic bodies with an interface cracks.

The objects are isotropic, piezoelectric, piezoelectric/piezomagnetic spaces with interface cracks. The aim is the development of analytical methods of the plane problems solution for an interface crack with contact zones in isotropic and piezoelectric/piezomagnetic bimaterials under mechanical, diffusive, electrical, magnetic and thermal loads. Methods of theory of complex variable functions; singular integral equations and finite element. Due to the methods of complex function the problems in question has been reduced to the problems of linear relationship for open-crack model and for a crack with a contact zone by use of presentation of mechanical, electrical and magnetical factors via sectionally-holomorphic functions and vector-functions. Their analytical solutions are found. The basic characteristics of stress-strain state at interface crack tip are found in exact analytical forms. The dependencies of the contact zone length and the intensity coefficients on the prescribed external factors are investigated. In particular, it is demonstrated, that electrical as well as magnetic fluxes supress the interface crack's growth in piezoelectric/piezomagnetic bimaterial. The technique of definition the fracture parameters for an interface crack in a finite sized composite body is elaborated. The boundary integral relations for a piezoelectric half-plane under the action of the concentrated forces and the point electrical sources in their internal points are formulated. Application spheres are training courses, machine and instrument-making industries.