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2 International Journal of Applied Mechanics and Engineering

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Response due to mechanical source in second axisymmetric problem of micropolar elastic medium

Singh R.

International Journal of Applied Mechanics and Engineering

2013

Vol. 18, no. 4

1249--1261

The second axisymmetric problem in a micropolar elastic medium has been investigated by employing an eigen value approach after applying the Laplace and the Hankel transforms. An example of infinite space with concentrated force at the origin has been presented to illustrate the application of the approach. The integral transforms have been inversed by using a numerical technique to obtain the components of microrotation, displacement, force stress and couple stress in the physical domain. The results for these quantities are given and illustratred graphically.

Thermo-mechanical deformation in magneto micropolar thermoelastic medium with modified Fourier and Ohm's law

Singh R., Kumar V.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 1

83-105

The present investigation is concerned with a two dimensional problem in a magnetic micropolar thermoelastic half space, whose surface is subjected to thermo-mechanical sources in the presence of transverse magnetic field with modified Ohm's and Fourier's law. The Laplace and Fourier transforms are used to solve the problem. As an application, concentrated normal force and thermal source are taken to illustrate the utility of the approach. The transformed components of displacement, stress, couple stress, electric field and current density vector are derived. Some special cases of interest are also deduced from the present investigation.