Calculus of Variations and Geometric Measure Theory
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F. Cagnetti

A vanishing viscosity approach to fracture growth in a cohesive zone model with prescribed crack path

created by cagnetti on 15 Oct 2007
modified on 13 Nov 2013


Published Paper

Inserted: 15 oct 2007
Last Updated: 13 nov 2013

Journal: Math. Models Methods Appl. Sci.
Volume: 18/7
Pages: 1027-1071
Year: 2008


The existence of crack evolutions based on critical points of the energy functional is proved, in the case of a cohesive zone model with prescribed crack path. It turns out that evolutions of this type satisfy a maximum stress criterion for the crack initiation. With an explicit example, it is shown that evolutions based on the absolute minimization of the energy functional do not enjoy this property.


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