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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.
@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},
mrnumber = {2394509},
zbl = {1133.74041},
language = {en},
url = {http://geodesic.mathdoc.fr/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 SP - 233 EP - 253 VL - 14 IS - 2 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007046/ DO - 10.1051/cocv:2007046 LA - en ID - COCV_2008__14_2_233_0 ER -
%0 Journal Article %A Ferriero, Alessandro %T Quasi-static evolution for fatigue debonding %J ESAIM: Control, Optimisation and Calculus of Variations %D 2008 %P 233-253 %V 14 %N 2 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2007046/ %R 10.1051/cocv:2007046 %G en %F COCV_2008__14_2_233_0
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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