Contact Problem with Friction in Thermo-Viscoelasticity/Electroelasticity

Special Issue Editors


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Guest Editor
Modeling and Combinatorics Laboratory, Department of Mathematics and Computer Science, Polydisciplinary Faculty, Cadi Ayyad University, B. P. 4162, Safi, Morocco
Interests: contact; friction; numerical mathematics

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Guest Editor
Laboratory Mathematics, Computer, Science and Engineering Sciences (MISI), Faculty of Science and Technology, Hassan 1st University, Settat 26000, Morocco
Interests: numerical analysis; numerical simulation; numerical modeling mathematical analysis; mathematical modelling; numerical mathematics

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Guest Editor
Laboratory LS2ME, Polydisciplinary Faculty of Khouribga, University Sultan Moulay Slimane, BP: 145, Khouribga 25000, Morocco
Interests: contact problem; friction

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Guest Editor
Laboratory LAMRI, Polydisciplinary Faculty of Khouribga, University Sultan Moulay Slimane, BP: 145, Khouribga 25000, Morocco
Interests: wear; friction; contact; mathematical modelling; mathematical analysis; numerical analysis

Special Issue Information

Dear Colleagues,

In the realm of engineering sciences, particularly within the mechanics of continuous media, most physical phenomena involve contact problems between a deformable solid and a rigid foundation. These contact problems, which can occur with or without friction, are fundamental to understanding the behavior of materials and structures in a variety of engineering applications. This includes situations where materials are subjected to high temperatures, experience time-dependent deformations, or are involved in electromechanical coupling.

Understanding the relationship between contact problems and lubrication is crucial for optimizing the performances of mechanical systems in which surfaces in contact slide against one another. Lubrication is a key factor in reducing friction, wear, and the heat generated during contact, which, in turn, can significantly extend the lifespans of components and improve their operational efficiency. The interplay between lubrication and contact mechanics is, therefore, a critical area of study.

This Special Issue is dedicated to the in-depth exploration of modeling and the mathematical and numerical analysis of contact problems. It covers a broad range of materials and phenomena, including viscoelasticity, electroelasticity, piezo-viscoelasticity, and thermo-electro-viscoelasticity. These studies span static, quasi-static, and dynamic domains, reflecting the complexity and diversity of real-world applications.

The numerical approaches used for solving these contact problems are both complex and continuously evolving. They require extensive research to enhance our understanding and improve their practical application. Additionally, precise physical interpretation of the results obtained through these methods is essential for advancing the field and developing more efficient and reliable engineering solutions. This Special Issue will provide a comprehensive overview of the current state of research and highlight new developments in this crucial area of engineering science.

Prof. Dr. Mustapha Bouallala
Prof. Dr. El Hassan Essoufi
Prof. Dr. Rachid Fakhar
Prof. Dr. Hicham Benaissa
Guest Editors

Manuscript Submission Information

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Keywords

  • thermo-viscoelasticity
  • electroelasticity
  • contact mechanics
  • frictional behavior
  • thermal effects
  • viscoelastic deformation
  • electromechanical coupling
  • numerical modeling
  • finite element method (FEM)

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Published Papers

This special issue is now open for submission, see below for planned papers.

Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Analyzing and Numerically Simulating the Electrostatic Bilateral Contact Problem with Friction

Abstract:
This paper investigates the modeling, variational formulation, and numerical simulations
of quasi-static contact between a visco-electroelastic body and an electrically conductive foundation.
The contact is bilateral and adheres to Tresca’s law for dry friction.
A variational formulation of the model is developed, and the existence of a unique weak
solution is demonstrated, subject to a condition of low conductivity for the foundation.
Finally, two-dimensional examples are provided to illustrate the effectiveness of the algorithm.

Authors: BOUALLALA Mustapha

Affiliation: Cadi Ayyad University, Polydisciplinary faculty, Modeling and Combinatorics Laboratory,
Department of Mathematics and Computer Science B.P. 4162,Safi, Morocco.
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