The improved interpolating element-free Galerkin method based on nonsingular weight functions for three-dimensional elastoplastic problems

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Engineering Analysis with Boundary Elements Pub Date : 2025-01-30 DOI:10.1016/j.enganabound.2025.106136

Y.F. Wang, Y. Lu, L. Chen, M.J. Peng, Y.M. Cheng

{"title":"The improved interpolating element-free Galerkin method based on nonsingular weight functions for three-dimensional elastoplastic problems","authors":"Y.F. Wang, Y. Lu, L. Chen, M.J. Peng, Y.M. Cheng","doi":"10.1016/j.enganabound.2025.106136","DOIUrl":null,"url":null,"abstract":"Because of the nonlinearity, three-dimensional (3D) elastoplastic problems are very important for any numerical method. In this study, the improved interpolating element-free Galerkin (IIEFG) method based on nonsingular weight functions for elastoplastic problems is presented. An improved interpolating moving least-squares (IIMLS) method with nonsingular weight functions is applied to construct the shape function. The elastoplastic control equations are formulated using the incremental Galerkin weak form with considering the nonlinear stress-strain relationship. Then the equations of IIEFG are presented. A key advantage of IIEFG is its ability to directly apply boundary conditions to improve computational efficiency because of the interpolating property of IIMLS. And using nonsingular weight functions can overcome the disadvantage of singular weight functions, and the computational accuracy is improved. Five numerical examples are presented to evaluate the impact of parameters such as node arrangement, the number of loading steps, and scaling parameters of the influence domain impact the calculation results of this method. Comparisons with other numerical methods demonstrate the superior computational efficiency and accuracy of IIEFG for solving 3D elastoplastic problems.","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"77 2 1","pages":""},"PeriodicalIF":4.2000,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Analysis with Boundary Elements","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1016/j.enganabound.2025.106136","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

Abstract

Because of the nonlinearity, three-dimensional (3D) elastoplastic problems are very important for any numerical method. In this study, the improved interpolating element-free Galerkin (IIEFG) method based on nonsingular weight functions for elastoplastic problems is presented. An improved interpolating moving least-squares (IIMLS) method with nonsingular weight functions is applied to construct the shape function. The elastoplastic control equations are formulated using the incremental Galerkin weak form with considering the nonlinear stress-strain relationship. Then the equations of IIEFG are presented. A key advantage of IIEFG is its ability to directly apply boundary conditions to improve computational efficiency because of the interpolating property of IIMLS. And using nonsingular weight functions can overcome the disadvantage of singular weight functions, and the computational accuracy is improved. Five numerical examples are presented to evaluate the impact of parameters such as node arrangement, the number of loading steps, and scaling parameters of the influence domain impact the calculation results of this method. Comparisons with other numerical methods demonstrate the superior computational efficiency and accuracy of IIEFG for solving 3D elastoplastic problems.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

求助全文

约1分钟内获得全文去求助

来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.