Phuc L. H. Ho, Canh V. Le, Phuong H. Nguyen, Dung T. Tran
{"title":"结构安定分析的多边形有限元法","authors":"Phuc L. H. Ho, Canh V. Le, Phuong H. Nguyen, Dung T. Tran","doi":"10.15625/0866-7136/19027","DOIUrl":null,"url":null,"abstract":"This study presents an innovative numerical method that combines the polygonal finite element method (Poly-FEM) with conic optimization techniques within the framework of structural shakedown analysis. The resulting optimization problem is formulated as a second-order cone programming (SOCP) problem and is efficiently solved using the MOSEK primal-dual interior-point solver. Numerical experiments validate the computational efficiency and efficacy of the proposed approach.","PeriodicalId":239329,"journal":{"name":"Vietnam Journal of Mechanics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A polygonal finite element method for shakedown analysis of structures\",\"authors\":\"Phuc L. H. Ho, Canh V. Le, Phuong H. Nguyen, Dung T. Tran\",\"doi\":\"10.15625/0866-7136/19027\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This study presents an innovative numerical method that combines the polygonal finite element method (Poly-FEM) with conic optimization techniques within the framework of structural shakedown analysis. The resulting optimization problem is formulated as a second-order cone programming (SOCP) problem and is efficiently solved using the MOSEK primal-dual interior-point solver. Numerical experiments validate the computational efficiency and efficacy of the proposed approach.\",\"PeriodicalId\":239329,\"journal\":{\"name\":\"Vietnam Journal of Mechanics\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Vietnam Journal of Mechanics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15625/0866-7136/19027\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Vietnam Journal of Mechanics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15625/0866-7136/19027","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A polygonal finite element method for shakedown analysis of structures
This study presents an innovative numerical method that combines the polygonal finite element method (Poly-FEM) with conic optimization techniques within the framework of structural shakedown analysis. The resulting optimization problem is formulated as a second-order cone programming (SOCP) problem and is efficiently solved using the MOSEK primal-dual interior-point solver. Numerical experiments validate the computational efficiency and efficacy of the proposed approach.