isotropic strip, non-uniformly heating, crack, end zones, plastic deformations, contactrnstresses.

The stress-strain state of a constant thickness strip weakened by rectilinear crackrnwith partially contacting faces, at non-uniformly heating is investigated. It is assumed that thernhomogeneous isotropic strip with a non-centrally located crack undergoes the non-uniformlyrnheating across the cross section width. It is assumed that the interaction of cracks faces at thernaction of heat stress can cause the area of its overlap. The case of occurrence of the crack contactrnzone is investigated. The equilibrium problem for the crack with partially contacting faces in non-rnuniformly heated strip is reduced to a problem of linear conjugation of analytic functions. Solutionrnof the singular integral equation is obtained in quadratures. The contact stresses, size contact zonernand end zones are determined.

Abiyev, Telman Kulam ogly PhD, Assoc. Professor, Head of Department 'Higher Mathematics and Computer Engineering', Azerbaijan State Academy of Physical Culture and Sport, Azerbaijan, Baku