 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13653 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8223
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| In English (Mech. Solids): | | 5430 |
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| Shuai Yang, Yexun Li, Song Qiu, and Mincai Jia, "Transient Behavior of Layered Porous Cross-Anisotropic Fluid-Saturated Media to Longitudinal and Transverse Impulsive Loads," Mech. Solids. 60 (8), 7295-7314 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
7295-7314 |
| DOI |
10.1134/S0025654425606561 |
| Title |
Transient Behavior of Layered Porous Cross-Anisotropic Fluid-Saturated Media to Longitudinal and Transverse Impulsive Loads |
| Author(s) |
Shuai Yang (CCCC Third Harbor Engineering Co., Ltd., Shanghai, 200032 China; Key Laboratory of Engineering Structure of China Communication Construction, Shanghai, 200032 China; Department of Geotechnical Engineering, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai, 200092 China, yangshuai_ys01@163.com)
Yexun Li (CCCC Third Harbor Engineering Co., Ltd., Shanghai, 200032 China; Key Laboratory of Engineering Structure of China Communication Construction, Shanghai, 200032 China)
Song Qiu (CCCC Third Harbor Engineering Co., Ltd., Shanghai, 200032 China; Key Laboratory of Engineering Structure of China Communication Construction, Shanghai, 200032 China)
Mincai Jia (Department of Geotechnical Engineering, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai, 200092 China) |
| Abstract |
An analytical layer-element method (ALEM) is developed for the transient response of
stratified cross-anisotropic porous saturated media subjected to horizontal and vertical impulsive
loadings. The governing formulations of Biot’s elastodynamic theory in the cylindrical coordinate system are decoupled with the aid of Hankel-Laplace joint transforms and Fourier series expansion to
obtain the general solutions. The dynamic stiffness matrices for each single layer are derived by utilizing the general solutions. The total stiffness matrix is assembled by the single layer matrices on the basis
of continuity conditions at the interface as well as boundary conditions. Finally, the fundamental solutions of porous saturated media are developed via the ALEM. The accuracy of the proposed formulations is demonstrated by comparison with existing solutions and the numerical solutions from
ABAQUS. Several numerical examples are given in this paper to explore the effects of force depth, load
type, material stratification, anisotropy, and material compressibility on the transient response. The
results reveal that among the different transient load types, namely step, rectangular impulse, sinusoidal, and triangular impulse forces, the step force induces the largest transient response while the triangular impulse force yields the smallest. With increasing load burial depth, the dynamic responses
decrease significantly and the time to reach peak values prolongs. The medium with larger crossanisotropy parameters exhibits smaller dynamic responses, and the stiffness of the top soil layer dominates the displacement response, whereas the influence of material stratification on pore pressure is
negligible. |
| Keywords |
Cross-anisotropic porous saturated media, Analytical layer-element method, Transient response, Horizontal and vertical impulsive loadings, Hankel-Laplace-Fourier joint transforms |
| Received |
10 November 2025 | Revised |
14 December 2025 | Accepted |
20 December 2025 |
| Link to Fulltext |
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