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3 International Journal of Applied Mechanics and Engineering

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Response due to concentrated force in micropolar elastic solid with voids

Singh R., Singh K.

International Journal of Applied Mechanics and Engineering

2014

Vol. 19, no. 4

755--769

The eigen value approach, following Laplace and Fourier transforms has been employed to find the general solution of the field equation in a micropolar elastic solid with voids for the plane strain problem. An application of an infinite space with impulsive force has been taken to illustrate the utility of the approach. The integral transformations have been inverted by using a numerical inversion technique to get result in physical domain. The result in the form of normal displacement, volume fraction, normal force stress, tangential force stress and tangential couple stress components has been obtained numerically and illustrated graphically to depict the effect of micropolarity and voids.

Eigenvalue approach to two dimensional problem of generalized thermoelasticity for a half - space with body-force

Lahiri A., Das B.

International Journal of Applied Mechanics and Engineering

2012

Vol. 17, no. 2

419-437

The theory of generalized thermoelasticity is applied to a two-dimensional problem for a half-space under the action of body forces. The surface is stress free with thermal shock. Double integral transforms (Laplace transform for time variable and Fourier transform for space variable) are used and the resulting equations are written in the form of a vector-matrix differential equation. The solution of the vector-matrix differential equation in the transformed domain are obtained by eigenvalue approach. The inversion of the Laplace transform is carried out numerically by the Bellman method and computations are done by Mathematica software. Finally, numerical computations of the temperature distribution, displacement and stress components are made and represented 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.