Direct Coupling of NBEM-FEM for Problems of the Interaction of Ground and Foundation Beam


Article Preview

The precision of the solution of the interaction of ground and foundation beam with the coupling method of traditional boundary element method (BEM) and FEM is usually not very high. The direct coupling model of NBEM and FEM for solving the interaction of foundation ground and foundation beam was set up firstly. Then the loads under foundation were worked out with the direct coupling method. The comparison of results between the direct coupling method and other methods proved that precision of the solution of the direct coupling method is higher.



Edited by:

Xuejun Zhou




H. M. Zhao et al., "Direct Coupling of NBEM-FEM for Problems of the Interaction of Ground and Foundation Beam", Applied Mechanics and Materials, Vols. 94-96, pp. 1729-1732, 2011

Online since:

September 2011




[1] X.C. Wang M. Shao. The Fundamental and Numerical Method of FEM. Beijing(2001): Tsinghua University Press. (In Chinese).

[2] C. H. Zhang, C. M. Song. Boundary Element Technique in Infinite and Semi-infinite Plan Domain. Journal of Tsinghua University. vol. 271, no. 2 (1987), pp.85-96 (In Chinese).

[3] J. H. Lin, J.X. Shi. Infinite Boundary Element Method for Elastic Problem in Arbitrary Shaped Foundation. Chinese Journal of Geotechnical Engineering, vol. 15, no. 6 (1993), pp.44-52 (In Chinese).

[4] S.C. Zhang. Finite Element and Boundary Element Method for Solving the Interaction of Foundation Ground and Foundation Beam. Journal of Huaqiao University(natural science), vol. 19, no. 3 (1998), pp.290-293 (In Chinese).

[5] D.H. Yu. Mathematical Theory of Natural Boundary Element Method. Beijing(1993): Science Press. (In Chinese).

[6] H.M. Zhao, Z.Z. Dong, Y.L. Cao. The coupling method for torsion problem of the square cross-section bar with cracks. Applied Mathematics and Mechanics, vol. 21, no. 11 (2000), pp.81-86.

[7] Q.K. Du. The Coupling Method on Parabolic Equation Based on Natural Boundary Reduction. Computing Physics, vol. 17, no. 6 (2000), pp.593-601 (In Chinese).

[8] G. N. Gatica. Variational formulations of transmission problems via FEM, BEM and DtN mappings. Computer Methods in Applied Mechanics and Engineering, vol. 182, no. 3-4 (2000), pp.341-354.


[9] G. K. Gächter, M. J. Grote. Dirichlet-to-Neumann mapping for three-dimensional elastic waves. Wave Motion, vol. 37, no. 3 (2003), 293-311.


[10] Miroslav Premrov, Igor Spacapan. Solving exterior problems of wave propagation based on an iterative variation of local DtN operators. Applied Mathematical Modeling, vol. 28, no. 3 (2004), pp.291-304.