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  

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

作　　者：R·库玛 A·迈格拉尼 N·R·伽 吴承平（译） 张禄坤（校） 

机构地区：[1]库卢谢特拉大学数学系,库卢谢特拉·136119,印度 [2]古卢·詹姆赫西华理工大学数学系,希萨尔-125001,印度 [3]马哈西·达亚南德大学数学系,罗塔克．124001,印度 [4]不详

出　　处：《应用数学和力学》2007年第8期939-948,共10页Applied Mathematics and Mechanics

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.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 liquidporous 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.

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 

分 类 号：O343.6[理学—固体力学] O357.3[理学—力学]