Modeling of the crack partial closing in the isotropic medium intensify with regular stringers system

On the basis of the elasticity theory methods the mathematical description of model of partial closing of a crack in the isotropic medium with system of alien cross rectilinear inclusions is carried out. Such environment can be interpreted as the unlimited plate, intensify with regular system of edges which cross sections represent rather narrow rectangulars. It is considered, that medium is weakened by periodic system of rectilinear cracks. Definition of unknown contact stress and the sizes of contact zones is reduced to the solution of the singular integrated equation. With the help of algebraization procedure the integrated equation is reduced to the nonlinear algebraic equations system which is solved by method of successive approximations.