A 2.5D-Fourier-BEM model for vibrations in a tunnel running through layered anisotropic soil
Rieckh G, Kreuzer W, Waubke H, Balazs P. 2012. A 2.5D-Fourier-BEM model for vibrations in a tunnel running through layered anisotropic soil. Engineering Analysis with Boundary Elements. 36(6), 960–967.
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Journal Article
| Published
| English
Scopus indexed
Author
Rieckh, GeorgISTA;
Kreuzer, Wolfgang;
Waubke, Holger;
Balazs, Peter
Department
Abstract
A boundary element model of a tunnel running through horizontally layered soil with anisotropic material properties is presented. Since there is no analytical fundamental solution for wave propagation inside a layered orthotropic medium in 3D, the fundamental displacements and stresses have to be calculated numerically. In our model this is done in the Fourier domain with respect to space and time. The assumption of a straight tunnel with infinite extension in the x direction makes it possible to decouple the system for every wave number kx, leading to a 2.5D-problem, which is suited for parallel computation. The special form of the fundamental solution, resulting from our Fourier ansatz, and the fact, that the calculation of the boundary integral equation is performed in the Fourier domain, enhances the stability and efficiency of the numerical calculations.
Publishing Year
Date Published
2012-06-01
Journal Title
Engineering Analysis with Boundary Elements
Publisher
Elsevier
Acknowledgement
This work was supported by the Austrian Federal Ministry of Transport, Innovation and Technology under the Grant Bmvit-isb2 and the FFG under the project Pr. Nr. 809089.
Volume
36
Issue
6
Page
960 - 967
IST-REx-ID
Cite this
Rieckh G, Kreuzer W, Waubke H, Balazs P. A 2.5D-Fourier-BEM model for vibrations in a tunnel running through layered anisotropic soil. Engineering Analysis with Boundary Elements. 2012;36(6):960-967. doi:10.1016/j.enganabound.2011.12.014
Rieckh, G., Kreuzer, W., Waubke, H., & Balazs, P. (2012). A 2.5D-Fourier-BEM model for vibrations in a tunnel running through layered anisotropic soil. Engineering Analysis with Boundary Elements. Elsevier. https://doi.org/10.1016/j.enganabound.2011.12.014
Rieckh, Georg, Wolfgang Kreuzer, Holger Waubke, and Peter Balazs. “A 2.5D-Fourier-BEM Model for Vibrations in a Tunnel Running through Layered Anisotropic Soil.” Engineering Analysis with Boundary Elements. Elsevier, 2012. https://doi.org/10.1016/j.enganabound.2011.12.014.
G. Rieckh, W. Kreuzer, H. Waubke, and P. Balazs, “A 2.5D-Fourier-BEM model for vibrations in a tunnel running through layered anisotropic soil,” Engineering Analysis with Boundary Elements, vol. 36, no. 6. Elsevier, pp. 960–967, 2012.
Rieckh G, Kreuzer W, Waubke H, Balazs P. 2012. A 2.5D-Fourier-BEM model for vibrations in a tunnel running through layered anisotropic soil. Engineering Analysis with Boundary Elements. 36(6), 960–967.
Rieckh, Georg, et al. “A 2.5D-Fourier-BEM Model for Vibrations in a Tunnel Running through Layered Anisotropic Soil.” Engineering Analysis with Boundary Elements, vol. 36, no. 6, Elsevier, 2012, pp. 960–67, doi:10.1016/j.enganabound.2011.12.014.
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