期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 45, 期 2, 页码 378-391出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2007.07.025
关键词
2.5-D Green's function; discrete wavenumber; porous medium; biot's theory; the Fourier transform
类别
Based on Biot's theory, the dynamic 2.5-D Green's function for a saturated porous medium is obtained using the Fourier transform and the potential decomposition methods. The 2.5-D Green's function corresponds to the solutions for the following two problems: the point force applied to the solid skeleton, and the dilatation source applied within the pore fluid. By performing the Fourier transform on the governing equations for the 3-D Green's function, the governing differential equations for the two parts of the 2.5-D Green's function are established and then solved to obtain the dynamic 2.5-D Green's function. The derived 2.5-D Green's function for saturated porous media is verified through comparison with the existing solution for 2.5-D Green's function for the elastodynamic case and the closed-form 3-D Green's function for saturated porous media. It is further demonstrated that a simple form 2-D Green's function for saturated porous media can be been obtained using the potential decomposition method. (c) 2007 Elsevier Ltd. All rights reserved.
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