sheet construction element, curvilinear crack, temperature field, prefracture zones, cohesive tractions, non-uniform stress field

The changes of the temperature field near the tips of a curvilinear crack in a sheet element under the action of external non-uniform stress field are considered. It is taken into account that the curvilinear crack has end zones with interfacial bonds (cohesive tractions). It is assumed that these zones are adjacent to the crack tips and its sizes are comparable to size of the crack. The solution of the boundary problem of equilibrium of a curvilinear crack with interfacial bonds in the end zones under the action of external non-uniform stress field, induced thermoelastic stress field and tractions in the bonds, is reduced in each approximation to a system of nonlinear singular Cauchy-type equations. From the solution of the obtained equations system the normal and tangential tractions in the interfacial bonds are found. The condition of limiting equilibrium of the curvilinear crack with end zones is formulated on the basis of a two-parameter fracture criterion.

Mustafayev Azer Bayram ogly,

e-mail: azer_bm@list.ru, Ph.D., doctorant, Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan, Baku, Azerbaijan