Calculus of Variations and Geometric Measure Theory
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M. Caponi - I. Lucardesi - E. Tasso

Energy-dissipation balance of a smooth moving crack

created by caponi on 01 Aug 2018
modified by lucardesi on 11 Nov 2019


Accepted Paper

Inserted: 1 aug 2018
Last Updated: 11 nov 2019

Journal: Journal of Mathematical Analysis and Applications
Year: 2019

ArXiv: 1905.02498 PDF

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 - \textit{J. Math. Anal. Appl.} 2007 valid for straight fractures.


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