Asymptotic analysis of quasistatic electro‐viscoelastic problem with Tresca's friction Law. Issue 3 (22nd April 2019)

• Record Type: Journal Article
• Authors: Dilmi, Mohamed; Dilmi, Mourad; Benseridi, Hamid
• Is Part Of: Computational and mathematical methods. Volume 1:Issue 3(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-04-22
• Subjects: antiplane shear -- a priori estimates -- electro‐viscoelastic materials -- piezoelectric materials -- Reynolds equation -- Tresca law; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1028
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract : This paper is devoted to the study of the asymptotic analysis of a mathematical model involving a frictionless contact between an quasistatic electro‐viscoelastic and a conductive foundation in a three‐dimensional thin domain Ω ε . The contact is modeled with Tresca friction law. We derive a variational formulation of the problem and prove its unique weak solution. Then, we study the asymptotic analysis when the small parameter of the domain tends to zero. Finally, the specific Reynolds limit equation and the limit of Tresca free boundary conditions are obtained.