A frictionless contact problem with adhesion and damage in elasto-viscoplasticity
Rendiconti del Seminario Matematico della Università di Padova, Tome 118 (2007), pp. 49-71. 
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     author = {Selmani, Lynda and Bensebaa, Nadjet},
     title = {A frictionless contact problem with adhesion and damage in elasto-viscoplasticity},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {49--71},
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     year = {2007},
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     url = {http://archive.numdam.org/item/RSMUP_2007__118__49_0/}
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Selmani, Lynda; Bensebaa, Nadjet. A frictionless contact problem with adhesion and damage in elasto-viscoplasticity. Rendiconti del Seminario Matematico della Università di Padova, Tome 118 (2007), pp. 49-71. http://archive.numdam.org/item/RSMUP_2007__118__49_0/

[1] H. Brézis, Equations et inéquations non linéaires dans les espaces vectoriels en dualité, Ann. Inst. Fourier, 18 (1968), pp. 115-175. | Numdam | MR | Zbl

[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. | MR | Zbl

[3] O. Chau - M. Shillor - M. Sofonea, Dynamic frictionless contact with adhesion, Journal of Applied Mathematics and Physics (ZAMP), 55 (2004), pp. 32-47. | MR | Zbl

[4] G. Duvaut - J.L. Lions, Les Inéquations en Mécanique et en Physique, Springer-Verlag, Berlin (1976).

[5] M. Frémond, Equilibre des structures qui adhèrent à leur support, C. R. Acad. Sci. Paris, 295, Série II (1982), pp. 913-916. | MR | Zbl

[6] M. Frémond, Adhérence des solides, J. Mécanique Théorique et Appliquée, 6 (3) (1987), pp. 383-407. | MR | Zbl

[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. | MR | Zbl

[9] M. Frémond - Kl. Kuttler - B. Nedjar - M. Shillor, One-dimensional models of damage, Adv. Math. Sci. Appl., 8 (2) (1998), pp. 541-570. | MR | Zbl

[10] I. R. Ionescu - M. Sofonea, Functional and Numerical Methods in Viscoplasticity, Oxford University Press, Oxford, 1993. | MR | Zbl

[11] J. Necïas - I. Hlavacïek, Mathematical Theory of Elastic and Elastoplastic Bodies: An Introduction, Elsevier, Amsterdam, 1981. | Zbl

[12] P. D. Panagiotopoulos, Inequality Problems in Mechanical and Applications, Birkhauser, Basel, 1985. | MR | Zbl

[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. | MR | Zbl

[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). | Zbl

[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). | Zbl

[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. | MR | Zbl

[17] P. Suquet, Plasticité et homogénéisation, Thèse de Doctorat D'Etat, Université Pierre et Marie Curie, Paris 6, 1982.