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august 2013 Frictional contact problem with wear for electro-viscoelastic materials with long memory
Mohamed Selmani
Bull. Belg. Math. Soc. Simon Stevin 20(3): 461-479 (august 2013). DOI: 10.36045/bbms/1378314510

Abstract

We study a mathematical model for a quasistatic process of contact with normal compliance and friction when the wear of the contact surface due to friction is taken into account. The material is electro-viscoelastic with long memory. We establish a variational formulation for the model and prove the existence and uniqueness of the weak solution. The proof is based on classical results for elliptic variational inequalities and fixed point arguments.

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Mohamed Selmani. "Frictional contact problem with wear for electro-viscoelastic materials with long memory." Bull. Belg. Math. Soc. Simon Stevin 20 (3) 461 - 479, august 2013. https://doi.org/10.36045/bbms/1378314510

Information

Published: august 2013
First available in Project Euclid: 4 September 2013

zbMATH: 1273.74363
MathSciNet: MR3129053
Digital Object Identifier: 10.36045/bbms/1378314510

Subjects:
Primary: 49J40 , 74F15 , 74M10 , 74M15

Keywords: electro-viscoelastic materials , existence and uniqueness , fixed point arguments , friction , normal compliance , Quasistatic process , Weak solution , wear

Rights: Copyright © 2013 The Belgian Mathematical Society

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Vol.20 • No. 3 • august 2013
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