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.
Classification : 74R10, 49M99, 49J40
Mots clés : variational models, quasistatic evolution, rate-independent processes, fatigue, fractures
@article{COCV_2008__14_2_233_0,
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},
zbl = {1133.74041},
mrnumber = {2394509},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv:2007046/}
}
TY - JOUR AU - Ferriero, Alessandro TI - Quasi-static evolution for fatigue debonding JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2008 DA - 2008/// SP - 233 EP - 253 VL - 14 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2007046/ UR - https://zbmath.org/?q=an%3A1133.74041 UR - https://www.ams.org/mathscinet-getitem?mr=2394509 UR - https://doi.org/10.1051/cocv:2007046 DO - 10.1051/cocv:2007046 LA - en ID - COCV_2008__14_2_233_0 ER -
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. http://www.numdam.org/articles/10.1051/cocv:2007046/
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