Fracture of a Circular Disk with Mixed Conditions on the Boundary

Abstract

A model of a circular disk fracture based on consideration of the fracture process zone near the curvilinear crack tip is suggested. It is considered that mixed boundary conditions are given on the boundary of the disk. It is accepted that the fracture process zone is a finite length layer with a material with partially broken bonds between its separate structural elements (end zone). Analysis of equilibrium limit of the curvilinear crack is performed on the basis of ultimate extension of the material bonds.