Govorukha V. Computational models of fracture mechanics for piezoceramic bodies with interface cracks.

The objects are piecewise homogeneous piezoceramic bodies with interface cracks. The aim is the development of computational models and analytical methods of the plane problems solution for an interface crack in piezoelectric bimaterials under mechanical and electrical 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 different crack model by use of presentation of mechanical and electrical 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 and electric permittivity of the crack are investigated. In particular, it is demonstrated, that electrical fluxes suppress the interface crack's growth in piezoelectric 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-strip 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.