Energy-dissipation balance of a smooth moving crack

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Date
2018-08
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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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fracture dynamics, wave equation in time-dependent domains, energy-dissipation balance
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