A frictionless contact problem with adhesion and damage in elasto-viscoplasticity
Lynda Selmani; Nadjet Bensebaa
Rendiconti del Seminario Matematico della Università di Padova (2007)
- Volume: 118, page 49-71
- ISSN: 0041-8994
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topSelmani, Lynda, and Bensebaa, Nadjet. "A frictionless contact problem with adhesion and damage in elasto-viscoplasticity." Rendiconti del Seminario Matematico della Università di Padova 118 (2007): 49-71. <http://eudml.org/doc/108729>.
@article{Selmani2007,
author = {Selmani, Lynda, Bensebaa, Nadjet},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {49-71},
publisher = {Seminario Matematico of the University of Padua},
title = {A frictionless contact problem with adhesion and damage in elasto-viscoplasticity},
url = {http://eudml.org/doc/108729},
volume = {118},
year = {2007},
}
TY - JOUR
AU - Selmani, Lynda
AU - Bensebaa, Nadjet
TI - A frictionless contact problem with adhesion and damage in elasto-viscoplasticity
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2007
PB - Seminario Matematico of the University of Padua
VL - 118
SP - 49
EP - 71
LA - eng
UR - http://eudml.org/doc/108729
ER -
References
top- [1] H. BRÉZIS, Equations et inéquations non linéaires dans les espaces vectoriels en dualité, Ann. Inst. Fourier, 18 (1968), pp. 115-175. Zbl0169.18602MR270222
- [2] O. CHAU - J. R. FERNANDEZ - M. SHILLOR - M. SOFONEA, Variational and numerical analysis of a quasistatic viscoelastic contact problem with adhesion, Journal of Computational and Applied Mathematics, 159 (2003), pp. 431-465. Zbl1075.74061MR2005970
- [3] O. CHAU - M. SHILLOR - M. SOFONEA, Dynamic frictionless contact with adhesion, Journal of Applied Mathematics and Physics (ZAMP), 55 (2004), pp. 32-47. Zbl1064.74132MR2033859
- [4] G. DUVAUT - J.L. LIONS, Les Inéquations en Mécanique et en Physique, Springer-Verlag, Berlin (1976). Zbl0298.73001
- [5] M. FRÉMOND, Equilibre des structures qui adhèrent à leur support, C. R. Acad. Sci. Paris, 295, Série II (1982), pp. 913-916. Zbl0551.73096MR695554
- [6] M. FRÉMOND, Adhérence des solides, J. Mécanique Théorique et Appliquée, 6 (3) (1987), pp. 383-407. Zbl0645.73046MR912217
- [7] M. FRÉMOND - B. NEDJAR, Damage in concrete: the unilateral phenomenon, Nuclear Engng. Design, 156 (1995), pp. 323-335.
- [8] M. FRÉMOND - B. NEDJAR, Damage, gradient of damage and principle of virtual work, Int. J. Solids stuctures, 33 (8) (1996), pp. 1083-1103. Zbl0910.73051MR1370124
- [9] M. FRÉMOND - KL. KUTTLER - B. NEDJAR - M. SHILLOR, One-dimensional models of damage, Adv. Math. Sci. Appl., 8 (2) (1998), pp. 541-570. Zbl0915.73041MR1657215
- [10] I. R. IONESCU - M. SOFONEA, Functional and Numerical Methods in Viscoplasticity, Oxford University Press, Oxford, 1993. Zbl0787.73005MR1244578
- [11] J. NECÏAS - I. HLAVACÏEK, Mathematical Theory of Elastic and Elastoplastic Bodies: An Introduction, Elsevier, Amsterdam, 1981. Zbl0448.73009
- [12] P. D. PANAGIOTOPOULOS, Inequality Problems in Mechanical and Applications, Birkhauser, Basel, 1985. Zbl0579.73014MR896909
- [13] M. RAOUS - L. CANGÉMI and M. COCU, A consistent model coupling adhesion, friction, and unilateral contact, Comput. Meth. Appl. Mech. Engng., 177 (1999), pp. 383-399. Zbl0949.74008MR1710458
- [14] J. ROJEK - J. J. TELEGA, Contact problems with friction, adhesion and wear in orthopaedic biomechanics. I: General developments, J. Theoretical and Applied Mechanics, 39 (2001). Zbl1016.74046
- [15] J. ROJEK - J. J. TELEGA - S. STUPKIEWICZ, Contact problems with friction, adherence and wear in orthopaedic biomechanics. II: Numerical implementation and application to implanted knee joints, J. Theoretical and Applied Mechanics, 39 (2001). Zbl1016.74047
- [16] M. SOFONEA - W. HAN - M. SHILLOR, Analysis and Approximation of Contact Problems with Adhesion or Damage, Pure and Applied Mathematics 276, Chapman-Hall / CRC Press, New york, 2006. Zbl1089.74004MR2183435
- [17] P. SUQUET, Plasticité et homogénéisation, Thèse de Doctorat D'Etat, Université Pierre et Marie Curie, Paris 6, 1982.
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