Document ESAIM: COCV, Vol. 14, N°2, pp. 233-253
DOI: 10.1051/cocv:2007046
Quasi-static evolution for fatigue debonding
Alessandro FerrieroCMAP, École Polytechnique, 91128 Palaiseau, France; ferriero@cmapx.polytechnique.fr
(Received December 14, 2005. Revised October 8, 2006. Published online September 21, 2007.)
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. 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.
Mathematics Subject Classification. 74R10, 49M99, 49J40
Key words: Variational models, quasistatic evolution, rate-independent processes, fatigue, fractures
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