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Energy-dissipation balance of a smooth moving crack

2019/05/07 by Caponi, Maicol, Lucardesi, Ilaria, Tasso, Emanuele
#35L05 #35Q74 #74H35 #74R10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1905.02498

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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