Existence of a Generalized Solution for the Fractional Contact Problem. (19th January 2023)

• Record Type: Journal Article
• Authors: Ait kaki, Leila; Arar, Nouria; Abdo, Mohammed S.; Albalwi, M. Daher
• Other Names: Phang Chang Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2023(2023)
• Publication Date: 2023-01-19
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2023/8316373
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we take into consideration the mathematical analysis of time-dependent quasistatic processes involving the contact between a solid body and an extremely rigid structure, referred to as a foundation. It is assumed that the constitutive law is fractional long-memory viscoelastic. The contact is considered to be bilateral and is modeled around Tresca's law. We establish the existence of the generalized solution's result. The proof is supported by the surjectivity of the multivalued maximum monotone operator, Rothe's semidiscretization method, and arguments for evolutionary variational inequality.