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| Thermo-Electro-Elastic Friction Problem with Modified Signorini Contact Conditions |
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| KeyWord:Thermo-piezoelectric body, foundation, Signorini's modified contact conditions, Coulomb friction law, variational approach, elliptic quasi-variational inequalities, fixed point, iterative method |
| Author Name | Affiliation | | Youssef Mandyly | Laboratory AICSE, ENSAM of Casablanca, University Hassan II of Casablanca, Casablanca 20000, Morocco | | Ilham El Ouardy | University Moulay Isma\"{\i}l, Faculty of Sciences, Laboratory MACS, Mekn\`{e}s, Morocco | | Rachid Fakhar | University Sultan Moulay Slimane, Laboratory LS3M, 25000 Khouribga, Morocco | | El Hassan Benkhira | University Moulay Isma\"{\i}l, Faculty of Sciences, Laboratory MACS, Mekn\`{e}s, Morocco |
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| Abstract: |
| The purpose of this paper is to investigate a frictional contact problem between a thermo-piezoelectric body and an obstacle (such as a foundation). The thermo-piezoelectric constitutive law is assumed to be nonlinear. Modified Signorini's contact conditions are used to describe the contact, and these are adjusted to account for temperature-dependent unilateral conditions, which are associated with a nonlocal Coulomb friction law. The problem is formulated as a coupled system of displacement field, electric potential, and temperature, which is solved using a variational approach. The existence of a weak solution is established through the utilization of elliptic quasi-variational inequalities, strongly monotone operators, and the fixed point method. Finally, an iterative method is suggested to solve the coupled system, and a convergence analysis is established under appropriate conditions. |
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