perforated thin plate, rectilinear cracks, lateral bending, stress intensity factors.

The transverse bending problem for the thin plate jammed along the holes edges and weakened by doubly periodic system of unequal length rectilinear through cracks along axes of abscess and ordinate, is considered. The general solution representations describing a class of problems with doubly periodic moments distribution out of circular holes and rectilinear cracks are constructed. Satisfying the boundary conditions, the solution of the plates bending theory problem is reduced to two infinite systems of algebraic equations and two singular integral equations. Everyone of singular integral equation is reduced to system of linear algebraic equations without the intermediate step of its reduction to a Fredholm equation. Procedure of the finding of stress intensity factors (moments) is described. The stress intensity factors are found.

Kazbekov, Babek Bilal oglu Postgraduate student, Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku