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

Abstract

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.

2-Dimensional Deformation of an Irregular Orthotropic Elastic Medium

“…On taking E=0 (in the absence of irregularity ) the corresponding results for regular orthotropic elastic medium can be obtained from the above results as a particular case which coincide with the results obtained by Garg et al [8].…”

“…The corresponding results for normal loading obtained by Garg et al [8] can be recovered from our results as a particular case.…”

“…The present problem is an improvement of the earlier papers studied by Garg et al [8] for regular orthotropic elastic medium and Salim [10] for irregular (rectangular) isotropic medium. The corresponding results for normal loading obtained by Garg et al [8] can be recovered from our results as a particular case.…”

“…Madan et al [6] and Kumar et al [7] analyzed the effect of rigidity and irregularity on the propagation of Love waves in fluid saturated porous anisotropic single layered and multilayered elastic media. Garg et al [8] studied the plane strain problem of infinite orthotropic elastic medium due to twodimensional sources by considering distinct Eigen values. By using Eigen value method Singh et al [9] obtained the deformation field for the monoclinic medium in the transformed domain with plane interface.…”

Elastodynamic response of an anisotropic medium due to a line-load

“…Garg et al (1996) obtained the representation of seismic sources causing static antiplane strain deformation of an orthotropic medium. The corresponding static plane strain deformation of an orthotropic elastic medium has been discussed by Garg et al (2003). In the present paper a novel analytical eigenvalue method is presented for a monoclinic solid.…”