Bulletin of the Belgian Mathematical Society - Simon Stevin

Frictional contact problem with wear for electro-viscoelastic materials with long memory

Mohamed Selmani

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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.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 20, Number 3 (2013), 461-479.

Dates
First available in Project Euclid: 4 September 2013

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1378314510

Digital Object Identifier
doi:10.36045/bbms/1378314510

Mathematical Reviews number (MathSciNet)
MR3129053

Zentralblatt MATH identifier
1273.74363

Subjects
Primary: 74M15: Contact 74M10: Friction 74F15: Electromagnetic effects 49J40: Variational methods including variational inequalities [See also 47J20]

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

Citation

Selmani, Mohamed. Frictional contact problem with wear for electro-viscoelastic materials with long memory. Bull. Belg. Math. Soc. Simon Stevin 20 (2013), no. 3, 461--479. doi:10.36045/bbms/1378314510. https://projecteuclid.org/euclid.bbms/1378314510


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