Quasi-static evolution for fatigue debonding
CMAP, École Polytechnique, 91128 Palaiseau, France;
Revised: 8 October 2006
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
© EDP Sciences, SMAI, 2008