Journals / Mathematical and Computational Applications / 2005 / Cilt: 10 - Sayı: 3

Coupling of finite and boundary element methods with incompatible interfaces

Pages
321–330
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Two different case studies have been solved and the results are compared with each other, FEM, BEM, ANSYS.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, an algorithm is presented for the coupling of finite and boundary element method with incompatible interfaces for two dimensional elasticity problems.
📊
Key Findings & Data:In this approach, the number of nodes at the interface line of finite element domain can be different from the number of nodes at the interface line of boundary element region.
💡
Conclusion & Impact:Two different case studies have been solved and the results are compared with each other, FEM, BEM, ANSYS.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, an algorithm is presented for the coupling of finite and boundary element method with incompatible interfaces for two dimensional elasticity problems. In this approach, the number of nodes at the interface line of finite element domain can be different from the number of nodes at the interface line of boundary element region. The subregion technique has been used to obtain the coupling model and the compatibility requirement is satisfied by distributing the forces for incompatible interface. The continuity requirement is satisfied by interpolation equations. After satisfying the continuity and compatibility requirements at the interface line, the distribution matrix has been used for transformation of nodal forces into nodal tractions. Two different case studies have been solved and the results are compared with each other, FEM, BEM, ANSYS.

🔖

Cite This Article

GÜZELBEY, İ. H., KANBER, B., ERKLİG, A. (2005). Coupling of finite and boundary element methods with incompatible interfaces. Mathematical and Computational Applications, Cilt: 10 - Sayı: 3, 321–330. https://ajindex.com/articles/280452

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (1)

  1. O.C. Zienkiewicz, D.W. Kelly and P. Bettess, The coupling of the Finite Element Method and Boundary Solution Procedures. International Journal for Numerical Methods in Engineering 11, 355-375, 1977. 2.D.W. Kelly, G.G.W. Mustoe and O.C. Zienkiewicz, Coupling Boundary Element Methods With Other Numerical Methods, In Developments in Boundary Element Methods-1, Benerjee PK and Butterfield R (eds); Applied Science Publishers, 251-285,1979. 3.C.A. Felippa, Interfacing Finite Element and Boundary Element Discretization, Appl.Math. Modelling 5, 383-386, 1981. 4.G. Beer and J.L. Meek, The Coupling of the Boundary and Finite Element Methods for Infinite Domain Problems in Elastoplasticity, BEMs. Proc. 3rd Inter. Seminar, Irvine, California, 1981. 5.G. Beer, Finite Element, Boundary Element and Coupled Analysis of Unbounded Problems In Elastostatics. International Journal for Numerical Methods in Engineering 19, 567-580, 1983. 6.M. Costabel, Symmetric Methods for the Coupling of Finite Elements and Boundary Element, Boundary Element IX, Vol: 2, stress analysis application, 1988. 7.M. Costabel and E.P. Stephan, Coupling of Finite and Boundary Element Methods for an Elastoplastic Interface Problem, SIAM J.Num.An 27, 1212-1226, 1990. 8.J.C.T. Guzman, Combined Boundary and Finite Element Method For Elastostatics. Ph.D Thesis, Imperial College of Science, Technology and Medicine, UK, 1991. 9.F.B. Fusco, A Unified Formulation of the Finite and Boundary Element Methods, Using Energy Methods, Appl. Math. Modeling, 5, 263-268, 1981. 10.Z. Z. Chen and Q.H. Du, Some Further Works on the Combination of Hybrid/Mixed Finite Element to Boundary Elements, Proceedings of the 1st Japan China Sym. on Bems, Theory and Applications of Boundary Element Methods, 1987. 11.J.J. Grannell, On Simplified Hybrid Methods for Coupling of Finite Elements and Boundary Elements, Boundary Element IX, Vol:2, stress analysis application, 1988. 12.M. Papia, Analysis of Infilled Frames Using A Coupled finite Element and Boundary Element Solution Scheme. International Journal for Numerical Methods in Engineering 26,731-742,1988. 13.Y. Y. Lu, T. Belytschko and W.K. Liu, A Variationally Coupled FE-BE Method for Elasticity and Fracture Mechanics. Computer Methods in Applied Mechanics and Engineering 85, 21-37, 1991. 14.J. Ma and M. January Le, A new method for coupling of boundary- element method and finite-element method. Appl. Math. Modeling 16, 43-46, 1992. 15.M. Gosz and B. Moran, On the Formulation and