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1

Elastodynamic problem for an infinite body having a spherical cavity in the theory of thermoelasticity with double porosity

Kumar M. R., Vohra R.

Mechanics and Mechanical Engineering

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2017

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Vol. 21, nr 2

267--289

EN

The present investigation is concerned with homogeneous, isotropic infinite double porous thermoelastic body with a spherical cavity subjected to ramp type mechanical/thermal source in the context of Lord-Shulman theory of thermoelasticity [1] with one relaxation time. Laplace transform technique has been used to obtain the expressions for radial stress, hoop stress, equilibrated stresses and temperature distribution. A numerical inversion technique has been applied to recover the resulting quantities in the physical domain. The components of stress and temperature distribution are depicted graphically to show the effect of porosity and relaxation time parameters. Some particular cases are also deduced from the present investigation.

2

Effect of Hall current in thermoelastic materials with double porosity structure

Kumar R., Vohra R.

International Journal of Applied Mechanics and Engineering

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2017

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Vol. 22, no. 2

303--319

EN

The present investigation is concerned with one dimensional problem in a homogeneous, isotropic thermoelastic medium with double porosity structure in the presence of Hall currents subjected to thermomechanical sources. A state space approach has been applied to investigate the problem. As an application of the approach, normal force and thermal source have been taken to illustrate the utility of the approach. The expressions for the components of normal stress, equilibrated stress and the temperature change are obtained in the frequency domain and computed numerically. A numerical simulation is prepared for these quantities. The effect of the Hartmann number is depicted graphically on the resulting quantities for a specific model. Some particular cases of interest are also deduced from the present investigation.

3

Effect of Hall Current and Thermal Relaxation Time on Thermoelastic Materials with Double Porosity Structure by Using State Space Approach

Kumar R. M., Vohra R.

Mechanics and Mechanical Engineering

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2016

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Vol. 20, nr 4

425--449

EN

The present investigation is concerned with one dimensional problem in a homogeneous, isotropic thermoelastic medium with double porosity in the presence of Hall current subjected to thermomechanical sources. Thermoelastic theory with one relaxation time developed by Lord-Shulman [2] has been used to solve the problem. A state space approach has been applied to investigate the problem. As an application of the approach, normal force and thermal source have been taken to illustrate the utility of the approach. The expressions for the components of normal stress, equilibrated stress and the temperature change are obtained in the frequency domain and computed numerically. Numerical simulation is prepared for these quantities. The effect of Hall current and thermal relaxation time are depicted graphically on the resulting quantities for a specific model. Some particular cases of interest are also deduced from the present investigation.

4

Some considerations of fundamental solution in micropolar thermoelastic materials with double porosity

Kumar R., Vohra R., Gorla M. G.

Archives of Mechanics

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2016

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Vol. 68, nr 4

263--284

EN

This paper is concerned with micropolar thermoelastic materials which have a double porosity structure. The system of the equations of the assumed model is based on the equations of motion, equilibrated stress equations of motion and heat conduction equation for material with double porosity. The explicit expressions for the fundamental solution of the system of equations in the case of steady vibrations are presented. The desired solutions are obtained by the use of elementary functions. Some basic properties are also established.

5

Nonlinear multiresolution image blending

Grundland M., Vohra R., Williams G. P., Dodgson N. A.

Machine Graphics and Vision

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2006

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Vol. 15, No. 3/4

381-390

EN

We study contrast enhancement for multiresolution image blending. In image compositing, image stitching, and image fusion, a blending operator combines coefficients of a pixel array, an image pyramid, a wavelet decomposition, or a gradient domain representation. Linear interpolation reduces variation and thereby causes contrast loss, while coefficient selection increases variation and thereby causes color distortion. Offering a continuous range of possibilities between these standard alternatives, the signed weighted power mean enables the user to calibrate the contrast of composite images.