Kozinov S. Periodic set of the cracks between two different materials

The objects are isotropic, anisotropic, piezoelectric composites with periodic set of the interface cracks. The aim is the development of analytical methods of the plane problems solution for the periodic set of the interface crack with contact zones in isotropic, anisotropic and piezoelectric bimaterials under mechanical and electromechanical loading. Methods of complex function theory, linear theory of elasticity and fracture mechanics. The thesis deals with the development of analytical solutions of the plane problems for the periodic set of the interface cracks with frictionless contact zones near its tips in isotropic, anisotropic and piezoelectric bimaterials under mechanical and for the case of the piezoelectric bimaterials - electromechanical loading. By means of mechanical and electrical factors presentations via sectionally-holomorphic functions and vector-functions the problems in question are reduced to the periodic problems of linear relationship for open-crack model and for a crack with a contact zone. Their analytical solutions are found. The equations for the determination of the contact zone length are obtained, the closed form expressions for stresses, electric displacement vector, elastic displacements and electric potential jump at the interface as well as the stress and electric intensity factors at the crack tips are given. The variation of the mentioned values with respect to the distance between the cracks and external loading is illustrated. For the piezoelectric composite the electric permeability of the cracks is taken into account. Application spheres are training courses, mechanical engineering and instrument engineering.