Exact solutions to one-dimensional transient response of incompressible fluid-saturated single-layer porous media

被引：0

作者：

单振东 ^{[1
,2
]}

凌道盛 ^{[1
]}

丁皓江 ^{[1
]}

机构：

[1] Ministry of Education Key Laboratory of Soft Soils and Geoenvironmental Engineering,Zhejiang University

[2] Institute of Engineering Mechanics,China Earthquake Administration

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 2013年 / 34卷 / 01期

基金：

中国国家自然科学基金;

关键词：

transient response; incompressible porous medium; exact solution; saturated;

D O I：

暂无

中图分类号：

TU43 [土力学];

学科分类号：

0801 ; 080104 ; 0815 ;

摘要：

Based on the Biot theory of porous media,the exact solutions to onedimensional transient response of incompressible saturated single-layer porous media under four types of boundary conditions are developed.In the procedure,a relation between the solid displacement u and the relative displacement w is derived,and the well-posed initial conditions and boundary conditions are proposed.The derivation of the solution for one type of boundary condition is then illustrated in detail.The exact solutions for the other three types of boundary conditions are given directly.The propagation of the compressional wave is investigated through numerical examples.It is verified that only one type of compressional wave exists in the incompressible saturated porous media.

引用

页码：75 / 84

页数：10

共 50 条

[31] Transient solutions for temperature and pressure waves in fluid-saturated porous rocks
Natale, G
Salusti, E
GEOPHYSICAL JOURNAL INTERNATIONAL, 1996, 124 (03) : 649 - 656
[32] Integral solutions for the one-dimensional transient response of unsaturated semi-infinite porous media
Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration, Harbin
Heilongjiang
150080, China
不详
Zhejiang
310058, China
不详
Zhejiang
310058, China
Yanshilixue Yu Gongcheng Xuebao, (3439-3445):
[33] ON THE SEISMIC RESPONSE OF FRACTURES AND INDUCED ANISOTROPY IN FLUID-SATURATED POROUS MEDIA
Martinez Corredor, Robiel
Santos, Juan E.
Gauzellino, Patricia M.
Carcione, Jose M.
PROCEEDINGS OF THE 1ST PAN-AMERICAN CONGRESS ON COMPUTATIONAL MECHANICS AND XI ARGENTINE CONGRESS ON COMPUTATIONAL MECHANICS, 2015, : 1554 - 1565
[34] Dynamic Response of Two-dimensional Fluid-saturated Porous Beam
Zhou, Fengxi
Ma, Qiang
ADVANCES IN CIVIL AND INDUSTRIAL ENGINEERING IV, 2014, 580-583 : 169 - +
[35] Three-dimensional absorbing boundary for analysis of fluid-saturated porous media
Javan, Mohammad Reza Maleki
Noorzad, Asadollah
Namin, Manouchehr Latifi
COMPUTERS AND GEOTECHNICS, 2008, 35 (02) : 115 - 123
[36] 3-DIMENSIONAL AND MULTICELLULAR CONVECTION IN FLUID-SATURATED POROUS-MEDIA
STRAUS, JM
SCHUBERT, G
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1978, 23 (08): : 992 - 992
[37] The onset of transient convection in fluid-saturated porous layer heated uniformly from below
Kim, MC
Kim, KY
Kim, S
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2004, 31 (01) : 53 - 62
[38] DQM for dynamic response of fluid-saturated visco-elastic porous media
Hu, Yu-Jia
Zhu, Yuan-Yuan
Cheng, Chang-Jun
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2009, 46 (7-8) : 1667 - 1675
[39] Response of fluid-saturated elastic porous media to excitations of multiple energy sources
Wang, G.
Dai, L.
Dong, M.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART K-JOURNAL OF MULTI-BODY DYNAMICS, 2007, 221 (02) : 319 - 330
[40] Wave propagation in one-dimensional fluid-saturated porous phononic crystals with partial-open pore interfaces
Zhang, Shu-Yan
Yan, Dong-Jia
Wang, Yue-Sheng
Wang, Yan-Feng
Laude, Vincent
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2021, 195

← 1 2 3 4 5 →