Initiation of defects such as a crack in the bush of contact pair

On the basis of methods thermoelasticity the mathematical description of model of initiation of a crack in the bush plunger pairs is carried out. It is considered, that at repeated back and forth motion piston there is an initiation of a cracks and fracture of materials of elements of contact pair. Definition of the unknown parameters describing a germinal crack, is reduced to solution singular of the integrated equation. With the help of procedure algebraization the integrated equation is reduced to system of the nonlinear algebraic equations which is solved a method consecutive approximation.