Journals Information
Universal Journal of Applied Mathematics Vol. 5(4), pp. 61 - 70
DOI: 10.13189/ujam.2017.050401
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Bilateral Contact Problem with Adhesion between Two Bodies for Viscoelastic with Long-term Memory and Damage
Souida Boukrioua 1, Adel Aissaoui 2,*, Nacerdine Hemici 3
1 Department of Mathematics, University of Ouargla, Ouargla 30000, Algeria
2 Department of Mechanical Engineering, University Echahid Hamma Lakhdar El Oued, Eloued 39000, Algeria
3 Department of Mathematics, Ferhat Abbas S茅tif University, S茅tif 19000, Algeria
ABSTRACT
We consider a quasistatic contact problem between two viscoelastic bodies with long-term memory and damage. The contact is bilateral and the tangential shear due to the bonding field is included. The adhesion of the contact surfaces is taken into account and modelled by a surface variable, the bonding field. We prove the existence of a unique weak solution to the problem. The proof is based on arguments of time-dependent variational inequalities, parabolic inequalities, differential equations and fixed point.
KEYWORDS
Viscoelastic Material with Long-term Memory, Damage, Adhesion, Bilateral, Weak Solution, Fixed Point
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Souida Boukrioua , Adel Aissaoui , Nacerdine Hemici , "Bilateral Contact Problem with Adhesion between Two Bodies for Viscoelastic with Long-term Memory and Damage," Universal Journal of Applied Mathematics, Vol. 5, No. 4, pp. 61 - 70, 2017. DOI: 10.13189/ujam.2017.050401.
(b). APA Format:
Souida Boukrioua , Adel Aissaoui , Nacerdine Hemici (2017). Bilateral Contact Problem with Adhesion between Two Bodies for Viscoelastic with Long-term Memory and Damage. Universal Journal of Applied Mathematics, 5(4), 61 - 70. DOI: 10.13189/ujam.2017.050401.