(1) Zentrum Mathematik, TU München, 85747 Garching bei München, Germany;(2) Lavrentyev Institute of Hydrodynamics of the Russian Academy of Sciences, 630090 Novosibirsk, Russia
Abstract:
We consider a two dimensional elastic isotropic bodywith a curvilinear crack. The formula for the derivative of theenergy functional with respect to the crack length is discussed. It is proved that this derivative is independent of the crack path provided that we consider quite smooth crack propagation shapes.An estimate for the derivative of the energy functional being uniform with respect to the crackpropagation shape is derived.
