{"title":"无界两相介质的复合有限元分析","authors":"Gopal.R. Karpurapu","doi":"10.1016/0141-1195(88)90039-3","DOIUrl":null,"url":null,"abstract":"<div><p>This paper discusses the development and application of a mapped type composite infinite element for modelling the response of unbounded two-phase media. The coordinate ascent mapping technique which uses conventional shape functions and the Gauss-Legendre integration method has been used for the formulation. The element is constructed such that it preserves compatibility between variations in effective stress and pore pressure. This compatibility is a basic requirement for the composite element to accurately model the two-phase media. Numerical analyses of problems with unbounded saturated media using these elements have shown considerably improved predictions compared to conventional analyses. A subroutine listing is presented to demonstrate the implementation of the element in finite element programs.</p></div>","PeriodicalId":100043,"journal":{"name":"Advances in Engineering Software (1978)","volume":"10 4","pages":"Pages 202-209"},"PeriodicalIF":0.0000,"publicationDate":"1988-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0141-1195(88)90039-3","citationCount":"10","resultStr":"{\"title\":\"Composite infinite element analysis of unbounded two-phase media\",\"authors\":\"Gopal.R. Karpurapu\",\"doi\":\"10.1016/0141-1195(88)90039-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper discusses the development and application of a mapped type composite infinite element for modelling the response of unbounded two-phase media. The coordinate ascent mapping technique which uses conventional shape functions and the Gauss-Legendre integration method has been used for the formulation. The element is constructed such that it preserves compatibility between variations in effective stress and pore pressure. This compatibility is a basic requirement for the composite element to accurately model the two-phase media. Numerical analyses of problems with unbounded saturated media using these elements have shown considerably improved predictions compared to conventional analyses. A subroutine listing is presented to demonstrate the implementation of the element in finite element programs.</p></div>\",\"PeriodicalId\":100043,\"journal\":{\"name\":\"Advances in Engineering Software (1978)\",\"volume\":\"10 4\",\"pages\":\"Pages 202-209\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0141-1195(88)90039-3\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Engineering Software (1978)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0141119588900393\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Engineering Software (1978)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0141119588900393","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Composite infinite element analysis of unbounded two-phase media
This paper discusses the development and application of a mapped type composite infinite element for modelling the response of unbounded two-phase media. The coordinate ascent mapping technique which uses conventional shape functions and the Gauss-Legendre integration method has been used for the formulation. The element is constructed such that it preserves compatibility between variations in effective stress and pore pressure. This compatibility is a basic requirement for the composite element to accurately model the two-phase media. Numerical analyses of problems with unbounded saturated media using these elements have shown considerably improved predictions compared to conventional analyses. A subroutine listing is presented to demonstrate the implementation of the element in finite element programs.