Three-dimensional dynamic fracture in a transversely isotropic thermoelastic solid: Framework for study

Abstract

A semi-infinite plane crack is at rest in an unbounded, transversely isotropic, thermoelastic solid. Point forces are applied to the crack faces, and translated with constant, subcritical speed at right angles to the initial crack edge. Fracture occurs, and a dynamic steady state is achieved: The crack edge is no longer rectilinear, but extension and translation speeds are identical. The crack plane contains the axis of material symmetry lies in that plane, and the initial crack edge is not aligned with that axis. An analytical three-dimensional solution is obtained, and a criterion for fracture based on dynamic energy release rate imposed, with kinetic energy included. A nonlinear differential equation for crack edge location and constraint equations result, and together form a framework for study of crack and contact zone geometry.