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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.

Axi-symmetric problem in a micropolar generalized thermoelastic half-space

Kumar R., Deswal S.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 2

413-429

The disturbance due to mechanical and thermal sources in a homogeneous isotropic micropolar generalized thermoelastic half space is investigated by the use of Laplace-Hankel transform techniques. The integral transforms are inverted by using a numerical technique. The displacement components, temperature field, normal and tangential stresses are obtained in the physical domain for Lord-Shulman (L-S), Green-Lindsay (G-L) and Green-Naghdi (G-N) theońes of micropolar generalized thermoelasticity and are shown graphically for magnesium crystal like material.

Elastodynamics of an axisymmetric problem in microstretch viscoelastic solid

Kumar R., Singh R.

International Journal of Applied Mechanics and Engineering

2005

Vol. 10, no 2

227-244

An eigen value approach, following Laplace and Hankel transforms, has been employed to find the general solution to the field equations in a microstretch viscoelastic medium for an axisymmetric problem. An application of an infinite space with a concentrated force at the origin has been presented to illustrate the application of the approach. The integral transforms have been inverted by using a numerical inversion technique to get the results in the physical domain. The results in the form of normal displacement, normal force stress, tangential force stress, tangential couple stress and microstress components have been obtained numerically and illustrated graphically to depict the effects of stretch and viscosity. Special cases of microstretch elastic solid and micropolar elastic solid have also been deduced.