具有tresca边界条件的薄域短记忆粘弹性问题研究

IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-01-01 DOI:10.32523/2306-6172-2023-11-2-116-129

A. Saadallah, F. Yazid, Nadhir Chougui, F.S. Djeradi

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引用次数: 0

摘要

本文主要研究具有Tresca边界条件的准静态区域的非线性问题的渐近性质。在第一步，我们推导了力学问题的变分形式，并证明了弱解的存在唯一性。研究了ε趋于零时的极限，证明了位移和速度这两个未知量的收敛性，得到了极限问题和具体的雷诺方程。

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STUDY OF THE VISCOELASTIC PROBLEMS WITH SHORT MEMORY IN A THIN DOMAIN WITH TRESCA BOUNDARY CONDITIONS

In this paper, we are interested in the study of the asymptotic behavior of non linear problem in a quasistatic regime in a thin domain with Tresca boundary conditions. In the first step, we derive a variational formulation of the mechanical problem and prove the existence and uniqueness of the weak solution. We study the limit when the ε tends to zero, we prove the convergence of the unknowns which are the displacement and the velocity and we obtain the limit problem and the specific Reynolds equation.

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来源期刊

Eurasian Journal of Mathematical and Computer Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Eurasian Journal of Mathematical and Computer Applications (EJMCA) publishes carefully selected original research papers in all areas of Applied mathematics first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Journal of Mathematical and Computer Applications (EJMCA) will also publish survey papers. Eurasian Mathematical Journal publishes 4 issues in a year. A working language of the journal is English. Main topics are: - Mathematical methods and modeling in mechanics, mining, biology, geophysics, electrodynamics, acoustics, industry. - Inverse problems of mathematical physics: theory and computational approaches. - Medical and industry tomography. - Computer applications: distributed information systems, decision-making systems, embedded systems, information security, graphics.