Influence of local temperature field on propagation of a curvilinear crack with interfacial bonds

Abstract

Influence of thermal source on growth of a curved crack in stretchable plane with regard to cohesive forces at the crack's end zone, is studied. It is assumed that the areas of action of tractions adjoin to the crack's tips. For inhibiting the growth of curvilinear crack, on the path of its extension in the vicinity of the crack's end, we form a zone of compressible stresses by heating the domain S by thermal source to temperature T0. The goal of local change of temperature is to delay or retardation of the crack growth. A boundary value problem on equilibrium of a bridged curvilinear crack with interfacial bonds under the action of external tensile loads, induced thermoelastic temperature field and tractions in the bonds preventing its opening is reduced to the system of nonlinear singular integral equations with a Cauchy‐type integral. Normal and tangential tractions in the bonds are found from the solution of this system. The condition of limit equilibrium of a curvilinear crack with interfacial bonds is formed with regard to criterion of limit stretching of the bonds.