Fracture of a burning solid propellant attenuated by a crack-type cavity

A plane steady problem of fracture mechanics for a burning deformable solid propellant attenuated by a crack-type cavity with a burning surface is considered. The crack-type cavity is assumed to have tip zones with bonds between the faces, and mixed boundary conditions are imposed on the propellant charge boundary. The problem of equilibrium of a propellant charge containing a crack-type cavity reduces to solving a system of nonlinear singular integrodifferential equations with a Cauchy-type kernel. Based on the solution obtained, the normal and tangential forces in the tip zones of the crack-type cavity are found. Local conditions determining stability (safety) of the solid propellant burning regime are found.