Calculus of Variations and Geometric Measure Theory

M. Caponi - I. Lucardesi - E. Tasso

Energy-dissipation balance of a smooth moving crack

created by caponi on 01 Aug 2018
modified on 06 Nov 2023


Published Paper

Inserted: 1 aug 2018
Last Updated: 6 nov 2023

Journal: Journal of Mathematical Analysis and Applications
Year: 2020
Doi: 10.1016/j.jmaa.2019.123656

ArXiv: 1905.02498 PDF
Links: Journal site


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.