Effect of induced temperature field on development of curvilinear crack with bonds between the faces in end zones

Temperature changes near the end of a curvilinear cohesive crack and their influence on
crack growth are investigated. The problem of local temperature changes consists in a delay
or retardation of the cohesive crack growth. The bonds between the curvilinear crack faces in
the end zones are modeled by application to the crack surface cohesive forces caused by the
presence of bonds. The boundary value problem of equilibrium of the curvilinear crack with
interfacial bonds in the end zones under action of external tensile loads, induced temperature
field and tractions in the bonds preventing to its opening, is reduced to a system of singular
integral equations with a Cauchy-type kernel. From the solution of this equation system,
normal and tangential tractions in the bonds are found. Analysis of the limit equilibrium of
the crack using the end zone model is performed on the basis of a criterion of bonds limiting
stretching and includes: 1) establishment of tractions depending on opening of the crack
faces; 2) evaluation of the stress state near the curvilinear crack with taking into account
tensile loads, induced temperature field, tractions in the bonds; 3) determination of the
critical external tensile loads.