{"title":"一种基于内单元边缘的光滑有限元方法","authors":"Zhigang Pei, Wei Xie, Tao Suo, Zhimin Xu","doi":"10.1007/s10338-024-00577-2","DOIUrl":null,"url":null,"abstract":"<div><p>A modified inner-element edge-based smoothed finite element method (IES-FEM) is developed and integrated with ABAQUS using a user-defined element (UEL) in this study. Initially, the smoothing domain discretization of IES-FEM is described and compared with ES-FEM. A practical modification of IES-FEM is then introduced that used the technique employed by ES-FEM for the nodal strain calculation. The differences in the strain computation among ES-FEM, IES-FEM, and FEM are then discussed. The modified IES-FEM exhibited superior performance in displacement and a slight advantage in stress compared to FEM using the same mesh according to the results obtained from both the regular and irregular elements. The robustness of the IES-FEM to severely deformed meshes was also verified.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"38 5","pages":"815 - 824"},"PeriodicalIF":2.7000,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10338-024-00577-2.pdf","citationCount":"0","resultStr":"{\"title\":\"An Inner-Element Edge-Based Smoothed Finite Element Method\",\"authors\":\"Zhigang Pei, Wei Xie, Tao Suo, Zhimin Xu\",\"doi\":\"10.1007/s10338-024-00577-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A modified inner-element edge-based smoothed finite element method (IES-FEM) is developed and integrated with ABAQUS using a user-defined element (UEL) in this study. Initially, the smoothing domain discretization of IES-FEM is described and compared with ES-FEM. A practical modification of IES-FEM is then introduced that used the technique employed by ES-FEM for the nodal strain calculation. The differences in the strain computation among ES-FEM, IES-FEM, and FEM are then discussed. The modified IES-FEM exhibited superior performance in displacement and a slight advantage in stress compared to FEM using the same mesh according to the results obtained from both the regular and irregular elements. The robustness of the IES-FEM to severely deformed meshes was also verified.</p></div>\",\"PeriodicalId\":50892,\"journal\":{\"name\":\"Acta Mechanica Solida Sinica\",\"volume\":\"38 5\",\"pages\":\"815 - 824\"},\"PeriodicalIF\":2.7000,\"publicationDate\":\"2025-01-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s10338-024-00577-2.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mechanica Solida Sinica\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10338-024-00577-2\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica Solida Sinica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10338-024-00577-2","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
An Inner-Element Edge-Based Smoothed Finite Element Method
A modified inner-element edge-based smoothed finite element method (IES-FEM) is developed and integrated with ABAQUS using a user-defined element (UEL) in this study. Initially, the smoothing domain discretization of IES-FEM is described and compared with ES-FEM. A practical modification of IES-FEM is then introduced that used the technique employed by ES-FEM for the nodal strain calculation. The differences in the strain computation among ES-FEM, IES-FEM, and FEM are then discussed. The modified IES-FEM exhibited superior performance in displacement and a slight advantage in stress compared to FEM using the same mesh according to the results obtained from both the regular and irregular elements. The robustness of the IES-FEM to severely deformed meshes was also verified.
期刊介绍：
Acta Mechanica Solida Sinica aims to become the best journal of solid mechanics in China and a worldwide well-known one in the field of mechanics, by providing original, perspective and even breakthrough theories and methods for the research on solid mechanics.
The Journal is devoted to the publication of research papers in English in all fields of solid-state mechanics and its related disciplines in science, technology and engineering, with a balanced coverage on analytical, experimental, numerical and applied investigations. Articles, Short Communications, Discussions on previously published papers, and invitation-based Reviews are published bimonthly. The maximum length of an article is 30 pages, including equations, figures and tables
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