Symmetric coupling of multi-zone curved Galerkin boundary elements with finite elements in elasticity
2000; Wiley; Volume: 48; Issue: 5 Linguagem: Inglês
10.1002/(sici)1097-0207(20000620)48
ISSN1097-0207
AutoresS. Ganguly, Jeffrey B. Layton, C. Balakrishna,
Tópico(s)Vibration and Dynamic Analysis
ResumoInternational Journal for Numerical Methods in EngineeringVolume 48, Issue 5 p. 633-654 Research Article Symmetric coupling of multi-zone curved Galerkin boundary elements with finite elements in elasticity S. Ganguly, Corresponding Author S. Ganguly [email protected] Mechanical and Aeronautical Engineering Department, Clarkson University, Postdam, NY 13699, U.S.A. Ph.D. Candidate. Currently, Scientist, SID, NAL Bangalore-560017, India117 Benaras Road, Salkia, Howrah, West Bengal 711106, IndiaSearch for more papers by this authorJ. B. Layton, J. B. Layton Mechanical and Aeronautical Engineering Department, Clarkson University, Postdam, NY 13699, U.S.A. Assistant Professor. Currently, Senior Engineer, Flight Sciences Group, Lockheed-Martin Aeronautical Systems, Marietta GeorgiaSearch for more papers by this authorC. Balakrishna, C. Balakrishna Mechanical and Aeronautical Engineering Department, Clarkson University, Postdam, NY 13699, U.S.A. Director of Computer Simulation, Center for the Advancement of Instruction in Science and Engineering (CAISE) Currently, Robust Engineer, GM Truck Group 2000 Centerpoint Pky, Pontiac, MI 48341-3147, U.S.A.Search for more papers by this author S. Ganguly, Corresponding Author S. Ganguly [email protected] Mechanical and Aeronautical Engineering Department, Clarkson University, Postdam, NY 13699, U.S.A. Ph.D. Candidate. Currently, Scientist, SID, NAL Bangalore-560017, India117 Benaras Road, Salkia, Howrah, West Bengal 711106, IndiaSearch for more papers by this authorJ. B. Layton, J. B. Layton Mechanical and Aeronautical Engineering Department, Clarkson University, Postdam, NY 13699, U.S.A. Assistant Professor. Currently, Senior Engineer, Flight Sciences Group, Lockheed-Martin Aeronautical Systems, Marietta GeorgiaSearch for more papers by this authorC. Balakrishna, C. Balakrishna Mechanical and Aeronautical Engineering Department, Clarkson University, Postdam, NY 13699, U.S.A. Director of Computer Simulation, Center for the Advancement of Instruction in Science and Engineering (CAISE) Currently, Robust Engineer, GM Truck Group 2000 Centerpoint Pky, Pontiac, MI 48341-3147, U.S.A.Search for more papers by this author First published: 20 April 2000 https://doi.org/10.1002/(SICI)1097-0207(20000620)48:5 3.0.CO;2-KCitations: 22 AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract The coupling of Finite Element Method (FEM) with a Boundary Element Method (BEM) is a desirable result that exploits the advantages of each. This paper examines the efficient symmetric coupling of a Symmetric Galerkin Multi-zone Curved Boundary Element Analysis method with a Finite Element Method for 2-D elastic problems. Existing collocation based multi-zone boundary element methods are not symmetric. Thus, when they are coupled with FEM, it is very difficult to achieve symmetry, increasing the computational work to solve the problem. This paper uses a fully Symmetric curved Multi-zone Galerkin Boundary Element Approach that is coupled to an FEM in a completely symmetric fashion. The symmetry is achieved by symmetrically converting the boundary zones into equivalent 'macro finite elements', that are symmetric, so that symmetry in the coupling is retained. This computationally efficient and fast approach can be used to solve a wide range of problems, although only 2-D elastic problems are shown. Three elasticity problems, including one from the FEM-BEM literature that explore the efficacy of the approach are presented. Copyright © 2000 John Wiley & Sons, Ltd. REFERENCES 1 Brebbia CA, Georgion P. Combination of boundary and finite elements in elastostatics. Applied Mathematical Modelling 1979; 3: 212–220. 2 Eberhardsteiner J, Mang HA, Torzicky P. Three dimensional elasto-plastic BE-FE stress analysis of the excavation of a tunnel bifurcation on the basis of a substructuring technique. In Advances in Boundary Element Techniques. Springer: Berlin, 1993; 103–128. 3 Jeans RA, Matthews IC. Solution of fluid-structure interaction problems using a coupled finite element and vibrational boundary element technique. Journal Acoustical Society of America 1990; 88: 2459–2466. 4 Sirtori S, Maier G, Novati G, Miccoli S. 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