formula Papkovich-Neiber, harmonic functions, elastic medium, the stress intensity factor.

In the work, based on the view offset voltage Papkovich –Neiber 3 harmonic functions by which derived the dual integral equations whose solution is reduced to finding a single holder functions. To find this function, the singular integral equation with Cauchy kernel 1 of the first kind. The solution to this integral equation, In the proposed method V.D. Kuliev, reduced to the Fredholm integral equation of 2nd kind with continuous kernel. The main parameter of the linear mechanics of fracture stress intensity factor and numerical analysis. When the crack of the normal rupture is located in an infinite elastic medium it is shown that both components of the displacement vector different from zero. This result suggests that the crack represents an oblate ellipse.

Kurbanmagomedov Arslan Kurbanmagomedovich e-mail: deforol@gmail.com, Moscow Polytechnical University, Moscow, Russia