热电粘弹性中含treca摩擦的单边接触问题罚法的建模与数值模拟

IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-09-01 DOI:10.32523/2306-6172-2023-11-3-4-21

M Bouallala, EL-H. Essoufi, A Zafrar, M. Alaoui

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引用次数: 0

摘要

本文考虑了基于Signorini条件和Tresca摩擦定律的惩罚法在热电粘弹性接触问题中的应用。给出了惩罚问题解的存在性及其收敛性等数学性质。然后，我们给出了二维测试问题的一些数值结果，并证明了它的收敛性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

MODELING AND NUMERICAL SIMULATION OF THE PENALTY METHOD FOR UNILATERAL CONTACT PROBLEM WITH TRESCA’S FRICTION IN THERMO-ELECTRO-VISCO-ELASTICITY

In this work, we consider the penalty method applied to contact problem in thermo-electro-visco-elasticity with Signorini’s condition and Tresca’s friction law. Mathe- matical properties, such as the existence of a solution to the penalty problem and its conver- gence to the solution of the original problem, are reported. Then, we present some numerical results in the study of a two-dimensional test problem and we establish its convergence.

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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.