Dynamic Behavior of Underground Structures in Multi-Layered Media

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Abstract:

This study performs dynamic analysis of underground structures on multi-layered half planes in frequency domain by using the coupled finite and boundary element method. The near field including underground structures is modeled with onventional finite elements, while the far field is modeled with boundary elements which satisfies radiation conditions. In evaluating the dynamic fundamental solutions, semi-analytical solutions due to line loads are employed. Therefore, the range of wavenumber integration can be reduced significantly. These solutions satisfy the reflection and transmission conditions of waves at each layer interface, so that the multi-region problem can be analyzed. Numerical examples are given to demonstrate the accuracy and efficiency of the proposed method.

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Key Engineering Materials (Volumes 297-300)

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78-83

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November 2005

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© 2005 Trans Tech Publications Ltd. All Rights Reserved

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[1] J. Lysmer and R.L. Kuhlemeyer: Finite dynamic model for infinite media, J. Eng. Mech. Div., ASCE 95 (EM4) (1969), pp.859-877.

DOI: 10.1061/jmcea3.0001144

Google Scholar

[2] W. White, S. Valliapan and I.K. Lee: Unified boundary for finite dynamic model, J. Eng. Mech. Div. ASCE 103 (EM5) (1977), pp.949-964.

DOI: 10.1061/jmcea3.0002285

Google Scholar

[3] R.F. Ungless: An infinite finite elements, M.A. Sc. Dissertation (University of British Columbia, 1973).

Google Scholar

[4] P. Bettess and O.C. Zienkiewicz: Diffraction and refraction of surface waves using finite and infinite elements, Int. J. Num. Mech. Eng. 11 (1977), pp.1271-1290.

DOI: 10.1002/nme.1620110808

Google Scholar

[5] J.E. Luco and R.J. Apsel: On the Green's functions for a layered half-space, part I, Bull. Seism. Soc. Am. 73 (1983), pp.909-929.

Google Scholar

[6] C.A. Brebbia, J.C.F. Telles and L.C. Wrobel: Boundary Element Techniques (Springer-Verlag, NY 1983).

Google Scholar

[7] P. Karasudhi: Foundations of Solid Mechanics (Kluwer Academic Publishers, 1991).

Google Scholar

[8] D.G. Harkrider: Surface waves in multilayered elastic media: Rayleigh and Love waves from buried sources in a multilayered elastic half-space, Bull. Seism. Soc. Am. 54 (1964), pp.627-672.

DOI: 10.1785/bssa0540020627

Google Scholar

[9] Y. Hisada: An Efficient Method for Computing Green's Functions for a Layered Half-Space with Sources and Receivers at Close Depth, Bull. Seism. Soc. Am. 84 (1994), pp.1456-1472.

DOI: 10.1785/bssa0840051456

Google Scholar

[10] S.W. Liu, M. Datta, M. Bouden and A.H. Shah: Scattering of obliquely incident seismic waves by a cylindrical valley in a layered halfspace, Earthquake Engng. Struct. Dynam 20 (1991), pp.859-870.

DOI: 10.1002/eqe.4290200906

Google Scholar

[11] K.J. Bathe: Finite Element Procedures (Prentice Hall, NJ 1996).

Google Scholar

[12] J.D. Achenbach: Wave Propagation in Elastic Solids (North-Holland 1984).

Google Scholar

[13] G. Dasgupta: Foundation impedance matrices by substructure deletion, J. Eng. Mech. Div., ASCE 106 (1980), pp.517-523.

DOI: 10.1061/jmcea3.0002602

Google Scholar

[14] S. Gupta and J. Penzien: Three-dimensional hybrid modeling of soil-structure interaction, Report No. EERC 80-9, (EERC University of California, Berkeley 1980).

Google Scholar