Study of a dynamic viscoelastic problems with short memory

	Study of a dynamic viscoelastic problems with short memory
International Journal of Nonlinear Analysis and Applications
مقاله 150، دوره 14، شماره 1، فروردین 2023، صفحه 1911-1923 اصل مقاله (416.56 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27280.3547
نویسندگان
Mustafa Derguine؛ Abdelkader Saadallah^* ؛ Hamid Benseridi
Applied Mathematical Laboratory (lama), Faculty of Sciences, University of Setif 1 El Bez Setif 19000, Algeria
تاریخ دریافت: 03 خرداد 1401، تاریخ بازنگری: 19 آبان 1401، تاریخ پذیرش: 06 آذر 1401
چکیده
his paper is devoted to the study of the asymptotic behavior of a viscoelastic problem with short memory in a three-dimensional thin domain $\Omega^\varepsilon$. We prove some convergence results when the thickness tends to zero. The contact is modeled with the Tresca friction law. We derive a variational formulation of the problem and prove its unique weak solution. Then we prove some convergence results when the small parameter $\varepsilon$ tends to zero. Finally, the specific Reynolds limit equation and the limit of Tresca-free boundary conditions are obtained.
کلیدواژه‌ها
asymptotic approach؛ boundary value problem؛ displacement field؛ Reynolds equation؛ short memory

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