a composite, reinforced unidirectional by fibres, prefracture zones, interfacial bonds, cohesive borces of a material.

The problem of mechanics of fracture about nucleation of cracks in the linearlyreinforced composites is considered at transverse shear. The general representations describing a class of problems with doubly periodic by distribution of states in composites at transverse shear are under construction. The solution of a problem on balance of the composites reinforced by unidirectional fibres, at transverse shear shift with prefracture zones is comes to the solution of three infinite algebraic systems and two nonlinear singular in to integro-differential equations. The condition for the appearance of cracks is formed, taking account the criterion of a limit traction of the bonds in the material.

e-mail: salehm@rambler.ru Guliyev, Saleh Mirzaxan oglu Candidate of Technical Sciences, Assoc. Professor, Azerbaijan State Pedagogical University, Baku