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Kakar R.,DIPS Polytechnic College
Latin American Journal of Solids and Structures | Year: 2013

This study examines the effect of electric and magnetic field on torsional waves in hetrogeneous viscoelastic cylindrically aeolotropic tube subjected to initial compression stresses. A new equation of motion and phase velocity of torsional waves propagating in cylindrically aeolotropic tube subjected to initial compression stresses, nonhomogeneity, electric and magnetic field have been derived. The study reveals that the initial stresses, nonhomogeneity, electric and magnetic field present in the aeolotropic tube of viscoelastic solid have a notable effect on the propagation of torsional waves. The results have been discussed graphically. This investigation is very significant for potential application in various fields of science such as detection of mechanical explosions in the interior of the earth. Source


Kakar R.,DIPS Polytechnic College | Gupta M.,University
Electronic Journal of Geotechnical Engineering | Year: 2014

In this paper we investigate the existence of Love waves in an intermediate heterogeneous layer placed in between homogeneous and inhomogeneous half-spaces. The dispersion relation for propagation of said waves is derived with Green's function method and Fourier transform. As a special case when the intermediate layer and lower half-space are homogeneous, our derived equation is in agreement with the general equation of Love wave. Numerically, it is observed that the velocity of Loves wave increases with the increase of inhomogeneity parameter. © 2014 ejge. Source


Kakar R.,DIPS Polytechnic College
20th International Congress on Sound and Vibration 2013, ICSV 2013 | Year: 2013

The effect of magnetic field on torsional waves propagating in non-homogeneous viscoelastic cylindrically aeolotropic material is discussed. The elastic constants and non-homogeneity in viscoelastic medium in terms of density and elastic constant is taken. Bessel functions are taken to solve the problem and frequency equations have been derived in the form of a determinant. Dispersion equation in each case has been derived and the graphs have been plotted showing the effect of Variation of elastic constants and the presence of magnetic field. The obtained dispersion equations are in agreement with the classical result. The numerical calculations have been presented graphically by using MATLAB. Source


Kakar R.,DIPS Polytechnic College
Journal of Solid Mechanics | Year: 2013

An approximation technique is considered for computing transmission and reflection coefficients for propagation of an elastic pulse through a planar slab of finite width. The propagation of elastic pulse through a planar slab is derived from first principles using straightforward time-dependent method. The paper ends with calculations of enhancement factor for the elastic plane wave and it is shown that it depends on the velocity ratio of the wave in two different media but not the incident wave form. The result, valid for quite arbitrary incident pulses and quite arbitrary slab inhomogeneities, agrees with that obtained by time-independent methods, but uses more elementary methods. © 2013 IAU, Arak Branch. Source


This study is concerned to check the validity and applicability of a five parameter viscoelastic model for harmonic wave propagating in the non-homogeneous viscoelastic rods of varying density. The constitutive relation for five parameter model is first developed and validity of these relations is checked. The non-homogeneous viscoelastic rods are assumed to be initially unstressed and at rest. In this study, it is assumed that density, rigidity and viscosity of the specimen i.e. rod are space dependent. The method of non-linear partial differential equation (Eikonal equation) has been used for finding the dispersion equation of harmonic waves in the rods. A method for treating reflection at the free end of the finite non-homogeneous viscoelastic rod is also presented. All the cases taken in this study are discussed numerically and graphically with MATLAB. © 2013 IAU, Arak Branch. Source

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