Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 19, Number 4 (2015), 1161-1182.
BILATERAL CONTACT PROBLEM WITH FRICTION AND WEAR FOR AN ELECTRO ELASTIC-VISCOPLASTIC MATERIALS WITH DAMAGE
We consider a mathematical problem for quasistatic contact between anelectro elastic-viscoplastic body and an obstacle. The contact is frictional and bilateral with a moving rigid foundation which results in the wear of the contacting surface. We employ the electro elastic-viscoplastic with damage constitutive law for the material. The evolution of the damage is described by an inclusion of parabolic type. The problem is formulated as a system of an elliptic variational inequality for the displacement, a parabolic variational inequality for the damage and a variational equality for the electric stress. We establish a variational formulation for the model and we give the wear conditions for the existence of a unique weak solution to the problem. The proofs are based on classical results for elliptic variational inequalities, parabolic inequalities and fixed point arguments.
Taiwanese J. Math., Volume 19, Number 4 (2015), 1161-1182.
First available in Project Euclid: 4 July 2017
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Djabi, Abdelmoumene; Merouani, Abdelbaki. BILATERAL CONTACT PROBLEM WITH FRICTION AND WEAR FOR AN ELECTRO ELASTIC-VISCOPLASTIC MATERIALS WITH DAMAGE. Taiwanese J. Math. 19 (2015), no. 4, 1161--1182. doi:10.11650/tjm.19.2015.5453. https://projecteuclid.org/euclid.twjm/1499133694