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Quasi-static evolution for fatigue debonding

Published online by Cambridge University Press:  20 March 2008

Alessandro Ferriero
Alessandro Ferriero*
Affiliation:
CMAP, École Polytechnique, 91128 Palaiseau, France; ferriero@cmapx.polytechnique.fr
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Abstract

The propagation of fractures in a solid undergoing cyclic loadings is known as the 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 Jaubert and Marigo [C. R. Mecanique333 (2005) 550–556]. 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.

Keywords

Variational modelsquasistatic evolutionrate-independent processesfatiguefractures
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 14 , Issue 2 , April 2008 , pp. 233 - 253
Copyright
© EDP Sciences, SMAI, 2008

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