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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
引用本文:R·库玛,A·迈格拉尼,N·R·伽,吴承平. 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[J]. 应用数学和力学, 2007, 28(8): 939-948
作者姓名:R·库玛  A·迈格拉尼  N·R·伽  吴承平
作者单位: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
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.

关 键 词: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
文章编号:1000-0887(2007)08-0939-10
修稿时间:2005-10-11

Elastodynamic Analysis of an Anisotropic Liquid-Saturated Porous Medium Due to Mechanical Sources
Rajneesh Kun , Aseem Miglani, N.R. Gar. Elastodynamic Analysis of an Anisotropic Liquid-Saturated Porous Medium Due to Mechanical Sources[J]. Applied Mathematics and Mechanics, 2007, 28(8): 939-948
Authors:Rajneesh Kun    Aseem Miglani   N.R. Gar
Affiliation:1. Department of Mathematics, Kurukshetra University, Kurukshetra- 136 119,Ind/a; 2. Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar- 125 001, India; 3. Department of Mathematics , Maharshi Dayanand University, Rohtak- 124 001, India
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.
Keywords:elastodynamic  anisotropic  liquid-saturated porous  Laplace transform  impulsive and concentrated source
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