用于接触有限元分析的开源 MATLAB 求解器

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software Pub Date : 2024-10-26 DOI:10.1016/j.advengsoft.2024.103798

Bin Wang , Jiantao Bai , Shanbin Lu , Wenjie Zuo

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引用次数: 0

摘要

接触现象广泛存在于工程中，是一个高非线性问题。然而，大多数开源的接触有限元代码都是用 C++ 编写的，对于初级研究人员来说很难采用和使用。因此，本文为考虑大变形的摩擦接触有限元分析提供了一个开源的 528 行 MATLAB 代码和详细解释，便于新手学习和使用。本文介绍了接触投影、接触节点力和接触切线刚度矩阵。非线性方程采用牛顿-拉夫逊法求解。数值示例证明了 MATLAB 代码的有效性。位移、Cauchy 应力和接触牵引结果与开源软件 FEBIO 进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An open source MATLAB solver for contact finite element analysis

Contact phenomenon widely exists in engineering, which is a high nonlinearity problem. However, the majority of open source contact finite element codes are written in C++, which are difficult for junior researchers to adopt and use. Therefore, this paper provides an open source 528-line MATLAB code and detailed interpretation for frictional contact finite element analysis considering large deformation, which is easy to learn and use by newcomers. This paper describes the contact projection, contact nodal forces and contact tangent stiffness matrices. The nonlinear equations are solved by the Newton–Raphson method. Numerical examples demonstrate the effectiveness of the MATLAB codes. The displacement, Cauchy stress and contact traction results are compared with the open-source software FEBIO.

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来源期刊

Advances in Engineering Software 工程技术-计算机：跨学科应用

CiteScore

7.70

自引率

4.20%

发文量

169

审稿时长

37 days

期刊介绍： The objective of this journal is to communicate recent and projected advances in computer-based engineering techniques. The fields covered include mechanical, aerospace, civil and environmental engineering, with an emphasis on research and development leading to practical problem-solving. The scope of the journal includes: • Innovative computational strategies and numerical algorithms for large-scale engineering problems • Analysis and simulation techniques and systems • Model and mesh generation • Control of the accuracy, stability and efficiency of computational process • Exploitation of new computing environments (eg distributed hetergeneous and collaborative computing) • Advanced visualization techniques, virtual environments and prototyping • Applications of AI, knowledge-based systems, computational intelligence, including fuzzy logic, neural networks and evolutionary computations • Application of object-oriented technology to engineering problems • Intelligent human computer interfaces • Design automation, multidisciplinary design and optimization • CAD, CAE and integrated process and product development systems • Quality and reliability.