Quasi-static evolution for fatigue debonding

Alessandro Ferriero

ESAIM: Control, Optimisation and Calculus of Variations (2008)

  • Volume: 14, Issue: 2, page 233-253
  • ISSN: 1292-8119

Abstract

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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. Mecanique333 (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.

How to cite

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Ferriero, Alessandro. "Quasi-static evolution for fatigue debonding." ESAIM: Control, Optimisation and Calculus of Variations 14.2 (2008): 233-253. <http://eudml.org/doc/250317>.

@article{Ferriero2008,
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. Mecanique333 (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. },
author = {Ferriero, Alessandro},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Variational models; quasistatic evolution; rate-independent processes; fatigue; fractures; variational models},
language = {eng},
month = {3},
number = {2},
pages = {233-253},
publisher = {EDP Sciences},
title = {Quasi-static evolution for fatigue debonding},
url = {http://eudml.org/doc/250317},
volume = {14},
year = {2008},
}

TY - JOUR
AU - Ferriero, Alessandro
TI - Quasi-static evolution for fatigue debonding
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2008/3//
PB - EDP Sciences
VL - 14
IS - 2
SP - 233
EP - 253
AB - 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. Mecanique333 (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.
LA - eng
KW - Variational models; quasistatic evolution; rate-independent processes; fatigue; fractures; variational models
UR - http://eudml.org/doc/250317
ER -

References

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  9. A. Friedman, Variational principles and free-boundary problems. Wiley-Interscience (1982).  
  10. A. Griffith, The phenomena of rupture and flow in solids. Philos. Trans. Roy. Soc. London Ser A 221 (1920) 163–198.  
  11. A. Jaubert and J.-J. Marigo, L'approche variationnelle de la fatigue: des premiers résultats. C. R. Mecanique333 (2005) 550–556.  
  12. D. Mumford and J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems. Comm. Pure Appl. Math42 (1989) 577–685.  
  13. J. Neveu, Bases mathématiques du calcul des probabilités. Masson Cie, Paris (1970).  
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