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Quasi-static evolution for fatigue debonding. (English) Zbl 1133.74041
Summary: 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 debonding of thin layers, coming from a time-discretized version recently proposed by A. Jaubert and J.-J. Marigo [C. R., Méc., Acad. Sci. Paris 333, 550–556 (2005)]. 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.

74R99 Fracture and damage
74G65 Energy minimization in equilibrium problems in solid mechanics
74S20 Finite difference methods applied to problems in solid mechanics
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