Plane strain deformation of an orthotropic elastic medium using an eigenvalue approach

被引:20
作者
Garg, NR [1 ]
Kumar, R
Goel, A
Miglani, A
机构
[1] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, Haryana, India
[2] Kurukshetra Univ, Dept Math, Kurukshetra 132119, Haryana, India
来源
EARTH PLANETS AND SPACE | 2003年 / 55卷 / 01期
关键词
D O I
10.1186/BF03352457
中图分类号
P [天文学、地球科学];
学科分类号
07 ;
摘要
The analytic expressions for the displacements and stresses at any point of an infinite orthotropic elastic medium as a result of an inclined line load have been obtained. This plane strain problem has been solved by using eigenvalue approach and the use of matrix notation avoids unwieldy mathematical expressions. The technique developed in the present paper is simple, straightforward and convenient for numerical computation. The variations of the displacements and stresses with the horizontal distance have been shown graphically.
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页码:3 / 9
页数:7
相关论文
共 16 条
[1]  
Aki K., 1980, Quantitative Seismology: Theory and Methods, DOI 10.1121/1.385057
[2]  
[Anonymous], 1995, Integral Transforms and Their Applications
[3]  
Burridge R., 1964, B SEISMOL SOC AM, V54, P1875
[4]   SUGGESTIONS FOR A CONSISTENT TERMINOLOGY FOR SEISMIC ANISOTROPY [J].
CRAMPIN, S .
GEOPHYSICAL PROSPECTING, 1989, 37 (07) :753-770
[5]   PRELIMINARY REFERENCE EARTH MODEL [J].
DZIEWONSKI, AM ;
ANDERSON, DL .
PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 1981, 25 (04) :297-356
[6]   Two-dimensional deformation of an orthotropic elastic medium due to seismic sources [J].
Garg, NR ;
Madan, DK ;
Sharma, RK .
PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 1996, 94 (1-2) :43-62
[7]   Plain strain problem of poroelasticity using eigenvalue approach [J].
Kumar R. ;
Miglani A. ;
Garg N.R. .
Journal of Earth System Science, 2000, 109 (3) :371-380
[8]   Response of an anisotropic liquid-saturated porous medium due to two dimensional sources [J].
Rajneesh Kumar ;
Aseem Miglani ;
N. R. Garg .
Proceedings of the Indian Academy of Sciences - Earth and Planetary Sciences, 2002, 111 (2) :143-147
[9]  
Love A.A., 1927, A Treatise on the Mathematical Theory of Elasticity
[10]  
Maruyama T., 1966, Bull Earthq Res Inst Tokyo Univ, V44, P811