{"title":"用于接触有限元分析的开源 MATLAB 求解器","authors":"Bin Wang , Jiantao Bai , Shanbin Lu , Wenjie Zuo","doi":"10.1016/j.advengsoft.2024.103798","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":50866,"journal":{"name":"Advances in Engineering Software","volume":"199 ","pages":"Article 103798"},"PeriodicalIF":4.0000,"publicationDate":"2024-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An open source MATLAB solver for contact finite element analysis\",\"authors\":\"Bin Wang , Jiantao Bai , Shanbin Lu , Wenjie Zuo\",\"doi\":\"10.1016/j.advengsoft.2024.103798\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>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.</div></div>\",\"PeriodicalId\":50866,\"journal\":{\"name\":\"Advances in Engineering Software\",\"volume\":\"199 \",\"pages\":\"Article 103798\"},\"PeriodicalIF\":4.0000,\"publicationDate\":\"2024-10-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Engineering Software\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0965997824002059\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Engineering Software","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0965997824002059","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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.
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.
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