Stability of an infinite solid with a circular cylindrical crack under compression using the Treloar potential

The fracture stability of a circular cylindrical crack in an infinite incompressible solid subjected to an axial compression is considered. A state of subcritical initial strain is assumed. The failure criterion is based on the local stability loss. The investigation is carried out in a single form for the hyper-elastic bodies with an arbitrary type of an elastic potential. Critical loads are determined for axisymmetric forms of a stability loss in the region local to the crack. The linearized problem reduced to the eigenvalue problem is solved numerically. Numerical results are obtained for solids with Treloar potential.