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3 International Journal of Applied Mechanics and Engineering

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Eigen value approach in micropolar elastic medium with voids

Singh R., Singh K.

International Journal of Applied Mechanics and Engineering

2013

Vol. 18, no. 2

521--536

The eigen value approach, following the Laplace and Hankel transformation has been employed to find a general solution of the field equations in a micropolar elastic medium with voids for an axisymmetric problem. An infinite space with the mechanical source has been applied to illustrate the utility of the approach. The integral transformations has been inverted by using a numerical inversion technique to get the result in physical domain. The results in the form of normal displacement, volume fraction, normal force stress, tangential force stress and tangential couple stress components have been obtained numerically and illustrated graphically.

Response due to mechanical and thermal sources in micropolar generalized thermoelastic medium

Singh R., Singh K., Kumar V.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 1

107-128

The eigen value approach, following the Laplace and Fourier transformation, is employed to find the general solution of the field equation in a micropolar generalized thermoelastic medium for a plane strain problem. An application of an infinite space with an impulsive mechanical source and thermal source is taken to illustrate the utility of the approach. The integral transformation is inverted by using a numerical inversion technique to get a result in the physical domain. The result in the form of normal displacement, normal force stress, tangential force stress, tangential couple stress and temperature field components is obtained numerically and illustrated graphically. A special case of a thermoelastic solid also deduced.

Anti-plane strain problem of micropolar viscoelastic medium

Kumar R., Singh R.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 1

175-191

The eigen value approach, following Laplace and Fourier transforms, has been employed to find the general solution to the field equation in a micropolar viscoelasitc medium for the anti- plane strain problem. An infinite space with concentrated force at the origin has been applied 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 microrotation, tangential displacement, tangential force stress and normal couple stress components have been obtained numerically and illustrated graphically to depict the effects of viscosity. A particular case of a micropolar elastic solid has also been deduced.