A different strategy for coupling of finite and boundary element methods

  • Ibrahim H. Guzelbey University of Gaziantep
  • Bahattin Kanber University of Gaziantep

Abstract

In this study, a different coupling strategy is used for the coupling of finite element (FE) and boundary element (BE) methods. In the literature, the coupling is done by transforming nodal forces into nodal tractions using distribution matrix at the interface line. In this study, however, the stress-traction equilibrium is used at the interface line for coupling of both methods. A finite and boundary element program is written using FORTRAN 95 and ordinary and developed coupling methods are adapted to this program. The results of both methods are compared with each other, ANSYS, FE, BE and analytical solution whenever possible. It has been seen that the developed method supply more efficient results against the ordinary method.

Keywords

Coupling, FEM, BEM, distribution matrix, stress-traction equilibrium,

References

[1] O. C. Zienkiewicz, D. W. Kelly, P. Bettess. The coupling of the Finite Element Method and Boundary Solution Procedures. Int. J. Numer. Meth. Eng., 11: 355-375, 1977.
[2] D. W. Kelly, G. G. W. Mustoe, O. C. Zienkiewicz. Coupling Boundary Element Methods with other Numerical Methods, Developments in Boundary Element Methods-I. Applied Science Publishers, 1979.
[3] C. A. Felippa. Interfacing Finite Element and Boundary Element Discretization. Appl. Math. Modelling, 5: 383- 386, 1981.
[4] G. Beer, 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. Int. J. Numer. Meth. Eng., 19: 567- 580, 1983.
Published
Jan 18, 2023
How to Cite
GUZELBEY, Ibrahim H.; KANBER, Bahattin. A different strategy for coupling of finite and boundary element methods. Computer Assisted Methods in Engineering and Science, [S.l.], v. 11, n. 1, p. 1-14, jan. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1039>. Date accessed: 23 nov. 2024.
Section
Articles