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Response of thermoelastic interactions in micropolar porous circular plate with three phase lag model

Kumar R., Miglani A., Rani R.

Mechanics and Mechanical Engineering

2018

Vol. 22, nr 4

999--1014

The present study deals with a homogeneous and isotopic micropolar porous thermoelastic circular plate by employing eigenvalue approach in the three phase lag theory of thermoelasticity due to thermomechanical sources. The expressions of components of displacements, microrotation, volume fraction field, temperature distribution, normal stress, shear stress and couple shear stress are obtained in the transformed domain by employing the Laplace and Hankel transforms. The resulting quantities are obtained in the physical domain by employing the numerical inversion technique. Numerical computations of the resulting quantities are made and presented graphically to show the effects of void, phase lags, relaxation time, with and without energy dissipation.

On axisymmetrical boundary problem of unsteady motion of micropolar fluid in the half-space

El-Sirafy I. H., Aboutahoun A. W.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2016

Vol. 64, nr 1

51--62

The aim of this paper is developing an exact solution for the problem of axisymmetrical flow of unsteady motion of micropolar fluid in the half-space when the shear stresses are given on the boundary. The Laplace-Hankel transform technique is used to solve this problem. Some physical quantities such as velocities, pressure and microrotations are obtained and illustrated numerically.

Elastodynamics response of expanding surface loads in a fluid saturated porous medium

Kumar R., Kumar S., Miglani A.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 1

57-67

The present investigation is concerned with axi-symmetric deformation in a fluid saturated incompressible porous medium whose surface is subject to loads that suddenly emanate from a point on the surface and expand radially at constant rate. The cases of loads shaped as a ring and disc are considered in detail. These loads are chosen so that they exert a constant force on the surface as they expand. Laplace and Hankel transform techniques are used to solve the problem. The integral transforms are inverted by using a numerical inversion technique to obtain the components of stresses and pore pressure in the physical domain. The results concerning these quantities are given and illustrated graphically to depict the effect of pore pressure. A particular case of interest deduced from the present investigation.