Analysis of a quasistatic contact problem with wear and damage for thermo-viscoelastic materials

Ilyas Boukaroura; Seddik Djabi

doi:10.26637/MJM0602/0001

Abstract

We consider a quasistatic contact problem for an thermo visco-elastic body with wear and damage between a
thermo-viscoelastic body and a rigid obstacle. The contact is frictional and bilateral which results in the wear and
damage of contacting surface. The evolution of the wear function is described with Archard’s law.The evolution
of the damage is described by an inclusion of parabolic type. We establish a variational formulation for the model
and we prove the existence of a unique weak solution to the problem. The proof is based on a classical existence
and uniqueness result on parabolic in ´ equalities, differential equations and fixed point argument

Keywords:

thermoviscoelastic,, variationel inequality, wear, damage field, fixed point.

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Ilyas Boukaroura Department of Mathematics, Ferhat Abbas- Setif1 University, Setif, 19000 , Algeria.
Seddik Djabi Department of Mathematics, Ferhat Abbas- Setif1 University, Setif, 19000 , Algeria.

Pages: 299-309
Date Published: 01-04-2018
Vol. 6 No. 02 (2018): Malaya Journal of Matematik (MJM)

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