Geodesic
Quasi-static evolution for fatigue debonding
ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 2, pp. 233-253

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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. Mecanique 333 (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.

DOI : 10.1051/cocv:2007046
Classification : 74R10, 49M99, 49J40
Keywords: variational models, quasistatic evolution, rate-independent processes, fatigue, fractures 
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     author = {Ferriero, Alessandro},
     title = {Quasi-static evolution for fatigue debonding},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {233--253},
     publisher = {EDP-Sciences},
     volume = {14},
     number = {2},
     year = {2008},
     doi = {10.1051/cocv:2007046},
     mrnumber = {2394509},
     zbl = {1133.74041},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007046/}
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Ferriero, Alessandro. Quasi-static evolution for fatigue debonding. ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 2, pp. 233-253. doi: 10.1051/cocv:2007046

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