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Abstract

Two-dimensional elastodynamic displacements and stresses for a monoclinic solid have been obtained in relatively simple form by the use of the eigenvalue method, following Laplace and Fourier transforms. The main aim of this paper is to present a straightforward analytical eigenvalue method for a monoclinic solid which avoids the cumbersome nature of the problem and is convenient for numerical computation. The use of matrix notation avoids unwieldy mathematical expressions. A particular case of normal line-load acting in an orthotropic solid is discussed in detail. The corresponding deformation in time-domain is obtained numerically. The variations of elastodynamic displacements and stresses for an anisotropic medium with the horizontal distance have been shown graphically. It has been found that anisotropy is affecting the trend of distribution curves significantly.

Details

Title
Elastodynamic response of an anisotropic medium due to a line-load
Author
Garg, N. R. 1 ; Goel, Anita 1 ; Miglani, Aseem 1 ; Kumar, Rajneesh 2 

1  Maharshi Dayanand University, Department of Mathematics, Rohtak, India (GRID:grid.411524.7) (ISNI:0000000417902262) 
2  Maharshi Dayanand University, Department of Mathematics, Rohtak, India (GRID:grid.411524.7) (ISNI:0000000417902262); Kurukshetra University, Department of Mathematics, Kurukshetra, India (GRID:grid.411194.8) (ISNI:0000000107073796) 
Pages
407-417
Publication year
2004
Publication date
Apr 2004
Publisher
Springer Nature B.V.
e-ISSN
18805981
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/BF03352494
ProQuest document ID
2928463928
Copyright
© The Society of Geomagnetism and Earth, Planetary and Space Sciences (SGEPSS); The Seismological Society of Japan; The Volcanological Society of Japan; The Geodetic Society of Japan; The Japanese Society for Planetary Sciences. 2004.