drsatyaprakash.singh@rsmams.org
Back to rsmams.org About SEAJMAMS For Authors Submit a Paper Contact Us
Research Article

ELASTODYNAMIC RESPONSE OF AN ANISOTROPIC MEDIUM IN FREQUENCY DOMAIN

A
Anita Goel Department of Mathematics Maharshi Dayanand University, Rohtak-124001, India
S
Surendra Kumar Department of Mathematics Maharshi Dayanand University, Rohtak-124001, India
N
N. R. Garg Department of Mathematics Maharshi Dayanand University, Rohtak-124001, India
R
Ritu Goel Department of Mathematics Maharshi Dayanand University, Rohtak-124001, India
Volume 6, Issue 1 Pages 57-78 December 12, 2007 176 downloads
Article overview

Abstract

Two-dimensional elastodynamic displacements and stresses for a monoclinic solid have been obtained in frequency domain in relatively simple form. The eigenvalue method, following Fourier transform, has been used to obtain the response in the transformed domain. The analytic eigenvalue method for a monoclinic solid, presented in this paper, is straightforward and is convenient for numerical computation. The use of matrix notation avoids unwieldy mathematical expressions. A particular case of a normal line-load acting in the interior of an infinite orthotropic solid has been considered in detail. The corresponding deformation in frequency domain is obtained numerically. The variations of dimensionless displacements and stresses with the horizontal distance have been shown graphically.

Keywords and Phrases

Two-dimensional deformationanisotropyfrequency domaineigenvalue method.

AMS Subject Classification

73, 35

Reference information

How to Cite

Anita Goel, Surendra Kumar, N. R. Garg, Ritu Goel (2007). ELASTODYNAMIC RESPONSE OF AN ANISOTROPIC MEDIUM IN FREQUENCY DOMAIN. South East Asian Journal of Mathematics and Mathematical Sciences, 6(1), 57-78.
Back to this issue
Copied