Existence results for unilateral quasistatic contact problems with friction and adhesion

Marius Cocu; Rémi Rocca

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2000)

  • Volume: 34, Issue: 5, page 981-1001
  • ISSN: 0764-583X

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Cocu, Marius, and Rocca, Rémi. "Existence results for unilateral quasistatic contact problems with friction and adhesion." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 34.5 (2000): 981-1001. <http://eudml.org/doc/194028>.

@article{Cocu2000,
author = {Cocu, Marius, Rocca, Rémi},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {two-dimensional elastic body; unilateral contact; local friction; adhesion; variational formulation; smoothing technique; shifting technique; existence of incremental solutions; regularization parameter; existence of quasistatic solution},
language = {eng},
number = {5},
pages = {981-1001},
publisher = {Dunod},
title = {Existence results for unilateral quasistatic contact problems with friction and adhesion},
url = {http://eudml.org/doc/194028},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Cocu, Marius
AU - Rocca, Rémi
TI - Existence results for unilateral quasistatic contact problems with friction and adhesion
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2000
PB - Dunod
VL - 34
IS - 5
SP - 981
EP - 1001
LA - eng
KW - two-dimensional elastic body; unilateral contact; local friction; adhesion; variational formulation; smoothing technique; shifting technique; existence of incremental solutions; regularization parameter; existence of quasistatic solution
UR - http://eudml.org/doc/194028
ER -

References

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  1. [1] L. Cangémi, Frottement et adhérence: modèle, traitement numérique et application à l'interface fibre matrice, PhD thesis, University of Aix-Marseille II (1997). 
  2. [2] M. Raous, L. Cangémi and M. Cocu, Un modèle couplant adhérence et frottement pour le contact unilatéral entre deux solides déformables. C. R. Acad. Sci., Paris., Série II b, t. 325 (1997). 503-509. Zbl0896.73051
  3. [3] M. Raous, L. Cangémi and M. Cocu, A consistent model coupling adhesion friction and unilateral contact. Comput. Methods Appl. Mech. Engrg. 177 (1999) 383-399. Zbl0949.74008MR1710458
  4. [4] R. Rocca, Existence of a solution for a quasistatic problem of unilateral contact with local friction. C. R. Acad. Sci., Paris, Série I. 328 (1999) 1253-1258. Zbl0935.74054MR1701395
  5. [5] R. Rocca and M. Cocu, Existence and approximation of a solution to quasistatic Signorini problem with local friction. Int. J. Engrg.(to appear). Zbl1210.74126MR1836512
  6. [6] R. Rocca, Analyse mathématique et numérique de problèmes quasi statique de contact unilatéral avec frottement local de Coulomb en élasticité, Ph.D. Thesis Université d'Aix Marseille I (2000). 
  7. [7] Andersson L.-E, Existence results for quasistatic contact problems with Coulomb friction. Appl. Math. Optim. (to appear). Zbl0972.35058MR1784173
  8. [8] M. Cocu, E. Pratt and M. Raous, Formulation and approximation of quasistatic frictional contact. Int. J. Engrg. Sci.34 (1996) 783-798. Zbl0900.73684MR1397607
  9. [9] J. Jarušek, Contact problems with bounded friction coercive case. Czechoslovak Math. J. 33 (1983) 237-261. Zbl0519.73095MR699024
  10. [10] C. Eck and J. Jarušek, Existence results for the static contact problem with Coulomb friction, Math. Models Methods Appl. Sci. 8(1998) 445-468. Zbl0907.73052MR1624879
  11. [11] R.A. Adams, Sobolev spaces. Academic Press, New York (1975). Zbl0314.46030MR450957
  12. [12] J.L. Lions and E. Magenes, Problèmes aux limites non homogènes. Vol. I. Dunod, Paris (1967). Zbl0165.10801
  13. [13] E. Zeidler, Nonlinear Functional Analysis and its Applications, Vol. I. Springer Verlag, New York (1993). Zbl0794.47033

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