contact pair, the hub, a rectilinear crack, factors of intensity of stress, limit-equilibrium state of the hub.

The problem of mechanics of fracture for the hub of contact pair is considered. It is considered that at repeated back and forth motion plunger there is a fracture of a material of the hub of the contact pair, caused by contact interaction and accompanied by joint action of power loading and temperatures. It is accepted that on a surface of contact of the hub there is a radial crack. It is considered that in the field of contact between the hub and plunger, except stress, operates tangent line the effort connected with contact stress under the law of Amontona – Kulona. The considered problem in each approach is reduced by methods of theories of indignations and analytical functions to one singular to the integrated equation and infinite system of the linear algebraic equations. Procedure of definition of factors of intensity of stress is resulted. In calculations the function describing a roughness of an internal contour of the hub was accepted by stationary stochastic function with zero average value and a known dispersion.

Axundova, Parvina Elman qizi Candidate of Phys. and Math. Sci., Doctorant, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku