A.M. Avdeenko - Dr.Sc. (Phys.-Math.), Professor, National University of Science and Technology «MISiS», Moscow

Discusses the two-dimensional problem of the concentration of stress fields at the ends of the broken cracks. This mapping is used Riemann a broken line on the circle with the following consideration of the main contributions in the tops of the cracks. For a two-tier crack stress intensity factors are obtained in closed form. In other cases, perhaps a numerical solution of standard methods for transcendental equations. To solve the problem of the interaction of cracks system offers a reasonable approximation of the stress and strain fields in the scale of comparable size, allowing you to get more strong estimates of real interaction in the system of cracks in the process of their evolution than based on direct decisions in the method of compensating dislocations.