A Simple Derivation and Classical Representations of Energy Variations for Curved Cracks

摘要

We consider configurational variations of a homogeneous (anisotropic) linear elastic material with a crack K. First, we provide a simple way to compute configurational variations of energy by means of a volume integral. Then, under increasing information on the regularity of the displacement field we show how to obtain classical representations of the energy release due to Eshelby, Rice and Irwin. A rigorous functional setting for these representations to hold is provided.