Energy-dissipation balance of a smooth moving crack
Abstract
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.
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