A THERMODYNAMIC FRAMEWORK OF FRACTURE-MECHANICS

A rigorous theory of non-linear fracture mechanics consistent with the basic laws of thermodynamics is proposed. It is shown that the local balance equation(s) can be derived from the postulated global balance equation using a generalized Reynolds transport equation appropriate t o a body containing a growing crack. The necessary conditions to be fu lfilled on the newly created fracture surfaces are derived. Within the framework of local theory the governing equations are applicable to c rack problems in materials with internal variables or fading memory an d to geometrically and/or physically non-linear problems. As a special case, the governing equations for infinitesimal thermoviscoelastic fr acture mechanics are given.