Calculus of Variations and Geometric Measure Theory
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A. Ferriero

Quasi-static evolution for fatigue debonding

created by ferrieroa on 19 Apr 2007
modified on 15 Jun 2010


Published Paper

Inserted: 19 apr 2007
Last Updated: 15 jun 2010

Journal: ESAIM Control Optim. Calc. Var.
Year: 2008


The propagation of fractures in a solid undergoing cyclic loadings is known as the {\it fatigue phenomenon}. In this paper, we present a time continuous model for fatigue, in the special situation of the debonding of thin layers, coming from a time discretized version recently proposed by A. Jaubert and J.-J. Marigo \cite{M}. Under very general assumptions on the surface energy density and on the applied displacement, we discuss the well-posedness of our problem and we give the main properties of the evolution process.


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