Analytical Methods of Modeling the Prefracture Zone near an Interfacial Crack Tip (Review).

A review of analytical models of the prefracture zone in the vicinity of the tip of an interfacial crack in a piecewise-homogeneous elastic-brittle body is given in connection with the study of crack rotation from the interface of the connected materials. They are based on a complex model of an interfacial crack, which assumes the presence in the vicinity of the crack tip of a contact area between the faces and a small-scale prefracture zone with a near-the-tip domain of material destruction. The main provisions of the analytical method for taking into account the small-scale prefracture zone near the tip of an interfacial crack are stated, they allow us to reduce the initial nonlinear problem of fracture mechanics to solving the boundary value problem of the elasticity theory about the displacement discontinuity line extending from the crack tip into a less crack-resistant material. The mathematical apparatus for analytically solving the boundary value problems of the analyzed models is the Wiener–Hopf method in combination with the Mellin integral transform. Variants of implementation of the complex model of an interfacial crack for the cases of predominant tension or shear are considered. A numerical analysis of the parameters of the prefracture zone and the area of face contact for different loading conditions was performed. The predictions of the model are compared with the experimental results of the study of interfacial crack rotation. The mechanism of opening of an initially closed crack due to the formation of the destruction zone is described. The results of an approximate analytical solution to the problem of a complex model of an interfacial crack under loads that provide commensurate zones of face contact and prefracture are analyzed. The mutual effect of the contact of the faces and the prefracture zone on their parameters and the angle of rotation of the crack was determined. [ABSTRACT FROM AUTHOR]