thin plate, doubly periodic system of circular holes, uniform bend, prefracture zone.

The mathematical description of the model of cracks formation in uniform thin isotropic plate weakened by a doubly periodic system of circular holes at the bending is carried out. We construct the general representations of solutions describing the class of problems with a doubly periodic stress distribution out of the circular holes. The solution of the cracks formation problem is reduced to two infinite algebraic systems and two singular integral equations of the first kind.

Kazbekov Babek Bilal oglu e-mail: brrustam@mail.ru, Postgraduate student, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Republic of Azerbaijan.