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

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

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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