Inserted: 1 aug 2018
Last Updated: 1 aug 2018
Preprint SISSA 31$/$2018$/$MATE
In this paper we provide necessary and sufficient conditions in order to guarantee the energy-dissipation balance of a Mode III crack, growing on a prescribed smooth path. Moreover, we characterize the singularity of the displacement near the crack tip, generalizing the result in S. Nicaise, A.M. Sandig - J. Math. Anal. Appl., 2007 valid for straight fractures.