各向异性液体-多孔饱和介质在机械荷载作用下的弹性动力分析

R·库玛; A·迈格拉尼; N·R·伽

各向异性液体-多孔饱和介质在机械荷载作用下的弹性动力分析

1.
库卢谢特拉大学数学系,库卢谢特拉_136 119,印度;2.古卢_詹姆赫西华理工大学数学系,希萨尔_125 001,印度;3.马哈西_达亚南德大学数学系,罗塔克_124 001,印度

详细信息

中图分类号: O343.6；O357.3；P315
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出版历程
- 收稿日期: 2005-10-11
- 修回日期: 2007-05-08
- 刊出日期: 2007-08-15

Elastodynamic Analysis of an Anisotropic Liquid-Saturated Porous Medium Due to Mechanical Sources

1.
Department of Mathematics, Kurukshetra University, Kurukshetra-136 119, India;

摘要

摘要: 将一个各向异性液体-多孔饱和介质的弹性动力分析，归结为一个横观各向同性液体-多孔饱和介质在机械荷载作用下的变形问题．自然界中有些物理问题，仅在一个方向发生变形，例如，与变形结构和变形柱有关的问题．土力学中，通常假设只有竖向沉降，从而归结为一维多孔弹性模型．采用各向异性液体-多孔饱和介质的一维变形模型，研究了在不同时间和距离下扰动的变化．给出了在不同类型荷载作用下，介质的各向异性对位移分布和应力分布的影响．
- 弹性动力学 /
- 各向异性 /
- 液体-多孔饱和介质 /
- Laplace变换 /
- 集中脉冲荷载
Abstract: Elastodynamic analysis of an anisotropic liquid-saturated porous medium has been made to study a deformation problem of a transversely isotropic liquid-saturated porous medium due to mechanical sources.Certain physical problems are of the nature,in which the deformation takes place only in one direction,e.g.,the problem relating to deformed structures and columns.In soil mechanics,assumption of only vertical subsidence is often invoked and this leads to the one dimensional model of poroelasticity.By considering a model of one-dimensional deformation of anisotropic liquid-saturated porous medium,the variations in disturbances were observed with reference to time and distance.The distribution of displacements and stresses are affected due to anisotropy of the medium, and also due to the type of sources causing the disturbances.
- elastodynamic /
- anisotropic /
- liquid-saturated porous /
- Laplace transform /
- impulsive and concentrated source

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参考文献(22)

[1]	Armero F, Callari C.An analysis of strong discontinuities in a saturated poroelastic solid[J].Internat J Numer Methods Engrg,1999,46(10):1673-1698. doi: 10.1002/(SICI)1097-0207(19991210)46:10<1673::AID-NME719>3.0.CO;2-S
[2]	Fellah Z E A, Depollier C.Transient acoustic wave propagation in rigid porous media: A time domain approach[J].J Acoust Soc Amer,2000,107(2):683-688. doi: 10.1121/1.428250
[3]	Tajjudin M, Reddy G N.Existance of stoneley waves at an unbounded interface between a poroelastic solid lying over an elastic solid[J].Bull Calcutta Math Soc,2002,94(2):107-112.
[4]	Schanz M, Pryl D.Dynamic fundamental solutions for compressible and incompressible modeled poroelastic continua[J].Internat J Solids Structures,2004,41(15):4047-4073. doi: 10.1016/j.ijsolstr.2004.02.059
[5]	Tajjudin M, Reddy G N.Effect of boundaries on the dynamic interaction of a liquid-filled porous layer and a supporting continuum[J].Sadhana,2005,30(4):527-535. doi: 10.1007/BF02703277
[6]	Santos J E, Ravazzoli C L,Geiser J.On the static and dynamic behavior of fluid saturated composite porous solids: a homogenization approach[J].Internat J Solids Structures,2006,43(5):1224-1238. doi: 10.1016/j.ijsolstr.2005.04.018
[7]	Tajjudin M, Shah S A. Circumferential waves of infinite hollow poroelastic cylinders[J].J Appl Mech,2006,73(4):705-708. doi: 10.1115/1.2164513
[8]	Chen S L, Chen L Z,Pan E.Three-dimensional time-harmonic Green's functions of saturated soil under buried loading[J].Soil Dynamics and Earthquake Engineering,2007,27(5):448-462. doi: 10.1016/j.soildyn.2006.09.006
[9]	Sharma M D, Gogna M L.Wave propagation in anisotropic liquid-saturated porous solids[J].J Acoust Soc Amer,1991,90(2):1068-1073. doi: 10.1121/1.402295
[10]	Sun F, Banks-Lee P,Peng H. Wave propagation theory in anisotropic periodically layered fluid-saturated porous media[J].J Acoust Soc Amer,1993,93(3):1277-1285. doi: 10.1121/1.405412
[11]	Dey S, Sarkar M G.Torsional surface waves in an initially stressed anisotropic porous medium[J].J Engg Mech,2002,128(2):184-189. doi: 10.1061/(ASCE)0733-9399(2002)128:2(184)
[12]	Altay G, Dokmeci M C.On the equations governing the motion of an anisotropic poroelastic material[J].Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences,2006,462(2072):2373-2396. doi: 10.1098/rspa.2006.1665
[13]	He F S, Huang Y.Basic equations of transversely isotropic fluid-saturated poroelastic media[J].Chinese J Geophysics,1984,11(66):131-137.
[14]	Vgenopoulou I,Beskos D E. Dynamic poroelastic column and borehole problem analysis[J].Soil Dynamics and Earthquake Engineering,1984,11(66):335-345.
[15]	Cui L, Cheng A H D,Kaliakin V N,et al.Finite element analysis of anisotropic poroelasticity: A generalized Mandel's problem and an inclined bore hole problem[J].Internat J Numer Anal Methods Geomech,1996,20:381-401. doi: 10.1002/(SICI)1096-9853(199606)20:6<381::AID-NAG826>3.0.CO;2-Y
[16]	Schanz M, Cheng A H D.Transient wave propagation in a one-dimensional poroelastic column[J].Acta Mechanica,2000,145(1/4):1-18. doi: 10.1007/BF01453641
[17]	Schanz M, Cheng A H D. Dynamic analysis of a one-dimensional poroviscoelastic column[J].J Appl Mech Trans ASME,2001,68(2):192-198. doi: 10.1115/1.1349416
[18]	Stover S C, Ge S, Screaton E J. A one-dimensional analytically based approach for studying poroplastic and viscous consolidation: Application to Woodlark basin, Papua New Guinea[J].J Geophysics Research,2003,108(B9):EPM11 1-14.
[19]	Zhang J, Roegiers J C,Bai M. Dual porosity elastoplastic analysis of non-isothermal one-dimensional consolidation[J].Geotechnical and Geological Engineering,2004,22(4):589-610. doi: 10.1023/B:GEGE.0000047039.96793.25
[20]	Biot M A. The theory of propagation of elastic waves in a fluid saturated porous solid[J].J Acoust Soc Amer,1956,28(2):168-191. doi: 10.1121/1.1908239
[21]	Biot M A. Theory of deformation of a porous viscoelastic anisotropic solid[J].J Appl Phys,1956,27(5):459-467. doi: 10.1063/1.1722402
[22]	Honig G, Hirdes U.A method for the numerical inversion of the Laplace transform[J].J Comput Appl Math,1984,10:113-132. doi: 10.1016/0377-0427(84)90075-X