二维弹性有界接触问题的砂浆法

IF 1.4 Q4 ENGINEERING, INDUSTRIAL
Tadeáš Světlík, Radek Varga, Lukáš Pospíšil, Martin Čermák
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引用次数: 0

摘要

摘要本文对接触问题的数值解领域做出了贡献,这在工程和仿真中提出了重大挑战。具体来说,我们解决了连接使用非一致性和非重叠网格离散的物体的复杂任务。我们的主要重点在于用一种分段对分段的方法来研究砂浆方法的有效性。在这种情况下,我们提供了底层理论框架的简要概述,并介绍了我们在MATLAB编程环境中的实现。为了确定我们提出的方法的可靠性和准确性,我们进行了严格的验证研究,将我们的实施结果与广泛采用的商业软件ANSYS得出的结果进行了比较。为了进行全面的评估,我们选择了涉及两个弹性体相互作用的特定基准问题。通过对结果的细致分析和比较,我们证明了我们方法的有效性和稳健性。本研究的发现对解决接触问题的数值技术的进步做出了实质性的贡献。经过验证的方法不仅为未来的研究工作奠定了坚实的基础,而且为在该领域进行模拟提供了可靠的框架。此外,从本研究中获得的见解可以潜在地促进更有效和准确的计算算法的发展,以解决各种工程应用中遇到的接触问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Mortar Method for 2D Elastic Bounded Contact Problems
Abstract This paper presents a contribution to the field of numerical solutions for contact problems, which pose significant challenges in engineering and simulations. Specifically, we address the intricate task of connecting bodies that have been discretized using non-conforming and non-overlapping meshes. Our primary focus lies in investigating the efficacy of the mortar method with a segment-to-segment approach. In this context, we provide a concise overview of the underlying theoretical framework and present our implementation in the MATLAB programming environment. To ascertain the reliability and accuracy of our proposed methodology, we conduct a rigorous validation study by comparing the outcomes obtained from our implementation with those derived from the widely adopted commercial software, ANSYS. To enable a comprehensive evaluation, we select specific benchmark problems that involve the interaction of two elastic bodies. Through a meticulous analysis and comparison of results, we demonstrate the effectiveness and robustness of our approach. The findings of this study contribute substantively to the advancement of numerical techniques for solving contact problems. The validated methodology not only establishes a solid foundation for future research endeavors but also offers a reliable framework for conducting simulations in this domain. Furthermore, the insights gained from this study can potentially facilitate the development of more efficient and accurate computational algorithms for addressing contact problems encountered in various engineering applications.
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来源期刊
CiteScore
4.30
自引率
13.30%
发文量
48
审稿时长
10 weeks
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