Abstract
This paper reports on the development of a finite element — boundary element coupling procedure for the analysis of arbitrary shaped elastic bodies subjected to dynamic loads. The coupling is accomplished through equilibrium and compatibility considerations along the boundary element — finite element interface.
Several numerical studies are performed where one part of a uniform body is treated by finite elements, whereas the remaining region is descretized by boundary elements. The examples demonstrate the influence of different finite element approaches and the applicability and the accuracy of the proposed procedure.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Antes, H. (1985): A boundary element procedure for transient wave propagations in two-dimensional isotropic elastic media. Finite Elements Anal. Design 1, 313–323
Antes, H.; von Estorff, O. (1987): On causality in dynamic response analysis by time-dependent boundary element methods. Earthqu. Engng. Struct. Dyn. 15, 865–870
Antes, H.; von Estorff, O. (1989): Dynamic response analysis of rigid foundations and elastic structures by boundary element procedures. Soil Dyn. Earthqu. Engng. 8, 68–74
Antes, H.; Meise, Th. (1990): Coping with non-convex domains in the boundary element analysis. Comp. Mech. (to appear)
Bathe, K.-J. (1982). Finite element procedures in engineering analysis. Englewood Cliffs, N.J.: Prentice-Hall
Bathe, K.-J. (1975), ADINA—A finite element program for automatic dynamic incremental nonlinear analysis. Cambridge, MA: Rpt. 82448-1, Acoustics Vibration Lab. Dept. of Mech. Eng., M.I.T.
Beer, G.; Meek, J. L. (1981): The coupling of boundary and finite element methods for infinite domain problems in elasto-plasticity. Int. Conf. on BEM III, Irvine, CA
Beskos, D.E. (1987): Boundary element methods in dynamic analysis. Appl. Mech. Rev. 40, 1–23
Brebbia, C. A. (Ed.) (1985): Topics in boundary element research, Vol. 2 Berlin, Heidelberg, New York: Springer
Brebbia, C. A.; Georgiou, P. (1979): Combination of boundary and finite elements in elastostatics. Appl. Math. Modeling 3, 212–220
Brebbia, C. A.; Telles, J. C. F.; Wrobel, L. C. (1984): Boundary element techniques. Berlin, Heidelberg, New York: Springer
Eringen, A. C.; Suhubi, E. S. (1975): Elastodynamics, Vol. 2. New York: Academic Press
Estorff, O.von (1986): Analysis of the dynamic interaction between structures and surrounding media by a time dependent BEM (in German) Bochum: Inst. f. Konstr. Ingenieurbau, Ruhr-Universität, TWM 86–10
Estorff, O. von.; Pais, A.; Kausel, E. (1990): Some observations on time domain and frequency domain boundary elements. Int. J. Num. Meth. in Engng. (to appear)
Fukui, T. (1987): Time marching BE-FE method in 2-D elastodynamic problems. Int. Conf. on BEM IX, Stuttgart
Groenenboom, P. H. L.; Brebbia, C. A.; De Jong, J. J. (1986): New developments and engineering applications of boundary elements in the field of transient wave propagation. Engineering Analysis 3, 4, 201–207
Karabalis, D. L.; Beskos, D. E. (1985): Dynamic Response of 3-D flexible foundations by time domain BEM and FEM. Soil Dyn. Earthqu. Engng. 4, 91–101
Kobayashi, S.; Mori, K. (1986): Three-dimensional dynamic analysis of soil-structure interactions by boundary integral equation—finite element combined method. In: Shaw, R. P. et al. (eds): Innovative numerical methods in engineering, pp. 613–618. Berlin, Heidelberg, New York: Springer
Li, H.-B.; Han, G.-M.; Mang, H. A.; Torzicky, P. (1986): A new method for the coupling of finite element and boundary element discretized subdomains of elastic bodies. Comp. Meth. in Appl. Mech. Engng. 54, 161–185
Spyrakos, C. C.; Beskos, D. E. (1986): Dynamic response of flexible strip-foundations by boundary and finite elements. Soil Dyn. and Earthqu. Engng. 5, 2, 84–96
Swoboda, G.; Mertz, W.; Beer, G. (1987) Rheological analysis of tunnel excavations by means of coupled finite element (FEM)-boundary element (BEM) analysis. Int. J. for Num. and Analytical Meth. in Geomechanics 11, 115–129
Triantafyllidis, T.; Dasgupta, B. (1990): Causality of the boundary element method in elastodynamics. Soil Dyn. Earthqu. Eng. (to appear)
Vallabhan, C. V. G. (1987): Coupling of BEM/FEM technology: an overview. Proc. of the 3rd Boundary Element Technology Conf., BETECH 87, Rio de Janeiro
Zienkiewicz, O. C.; Kelly, D. M.; Bettes, P. (1977): The coupling of the finite element method and boundary solution procedures. Int. J. Num. Meth. in Engng. 11, 355–376
Author information
Authors and Affiliations
Additional information
Communicated by S.-N. Atluri, January 4, 1989
Rights and permissions
About this article
Cite this article
von Estorff, O., Prabucki, M.J. Dynamic response in the time domain by coupled boundary and finite elements. Computational Mechanics 6, 35–46 (1990). https://doi.org/10.1007/BF00373797
Issue Date:
DOI: https://doi.org/10.1007/BF00373797