A Dynamic Electro-Elastic Viscoplastic Contact Problem with an Internal Variable
In this paper, we examine a dynamic contact problem involving an electro-elastic-viscoplastic body and a deformable base. The contact is characterized by an instantaneous normal response, and the behavior is described by an electro-elastic-viscoplastic law with an internal variable. We present both...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Viçosa (UFV)
2024-12-01
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| Series: | The Journal of Engineering and Exact Sciences |
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| Online Access: | https://periodicos.ufv.br/jcec/article/view/20858 |
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| _version_ | 1832569797480546304 |
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| author | Ahmed Hamidat Hakim Bagua |
| author_facet | Ahmed Hamidat Hakim Bagua |
| author_sort | Ahmed Hamidat |
| collection | DOAJ |
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In this paper, we examine a dynamic contact problem involving an electro-elastic-viscoplastic body and a deformable base. The contact is characterized by an instantaneous normal response, and the behavior is described by an electro-elastic-viscoplastic law with an internal variable. We present both the mechanical and variational formulations of the problem, establishing the existence and uniqueness of the solution. Our proof relies on the theory of variational equations and fixed-point arguments.
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| format | Article |
| id | doaj-art-58caae9cabc34045a1111f6dc5776443 |
| institution | Kabale University |
| issn | 2527-1075 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Universidade Federal de Viçosa (UFV) |
| record_format | Article |
| series | The Journal of Engineering and Exact Sciences |
| spelling | doaj-art-58caae9cabc34045a1111f6dc57764432025-02-02T19:53:10ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752024-12-0110810.18540/jcecvl10iss8pp20858A Dynamic Electro-Elastic Viscoplastic Contact Problem with an Internal Variable Ahmed Hamidat0Hakim Bagua1Laboratory of Operator Theory and PDE: Foundations and Applications, Faculty of Exact Sciences, University of El Oued, 39000, El Oued, AlgeriaDepartment of Electronics and Telecommunication, Faculty of New Technologies of Information and Communication, University of Ouargla, 30000, Ouargla, Algeria In this paper, we examine a dynamic contact problem involving an electro-elastic-viscoplastic body and a deformable base. The contact is characterized by an instantaneous normal response, and the behavior is described by an electro-elastic-viscoplastic law with an internal variable. We present both the mechanical and variational formulations of the problem, establishing the existence and uniqueness of the solution. Our proof relies on the theory of variational equations and fixed-point arguments. https://periodicos.ufv.br/jcec/article/view/20858Electro-viscoplastic. Dynamic. Differential equations. Fixed point. |
| spellingShingle | Ahmed Hamidat Hakim Bagua A Dynamic Electro-Elastic Viscoplastic Contact Problem with an Internal Variable The Journal of Engineering and Exact Sciences Electro-viscoplastic. Dynamic. Differential equations. Fixed point. |
| title | A Dynamic Electro-Elastic Viscoplastic Contact Problem with an Internal Variable |
| title_full | A Dynamic Electro-Elastic Viscoplastic Contact Problem with an Internal Variable |
| title_fullStr | A Dynamic Electro-Elastic Viscoplastic Contact Problem with an Internal Variable |
| title_full_unstemmed | A Dynamic Electro-Elastic Viscoplastic Contact Problem with an Internal Variable |
| title_short | A Dynamic Electro-Elastic Viscoplastic Contact Problem with an Internal Variable |
| title_sort | dynamic electro elastic viscoplastic contact problem with an internal variable |
| topic | Electro-viscoplastic. Dynamic. Differential equations. Fixed point. |
| url | https://periodicos.ufv.br/jcec/article/view/20858 |
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