Configurational forces and a constitutive theory for crack propagation that allows for kinking and curving

Abstract: "This paper develops a framework for dynamical fracture, concentrating on the derivation of balance equations and constitutive equations that describe the motion of the crack tip in two space-dimensions. The theory is based on the notion of configurational forces in conjunction with a mechanical version of the second law. Kinking and curving of the crack are allowed under the assumption that the crack will propagate in a direction that maximizes the rate at which it dissipates energy."