Caponi, MaicolLucardesi, IlariaTasso, Emanuele2018-08-012018-08-012018-08https://openscience.sissa.it/handle/1963/35320In 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.enfracture dynamicswave equation in time-dependent domainsenergy-dissipation balancePreprint