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Effect of Hall current in thermoelastic materials with double porosity structure

Kumar R., Vohra R.

International Journal of Applied Mechanics and Engineering

2017

Vol. 22, no. 2

303--319

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.

Axisymmetric vibration for micropolar porous thermoelastic circular plate

Kumar R., Kaushal P., Sharma R.

International Journal of Applied Mechanics and Engineering

2017

Vol. 22, no. 3

583--600

The present investigation is concerned with a two dimensional axisymmetric problem in a homogeneous isotropic micropolar porous thermoelastic circular plate by using the eigen value approach. The Laplace and Hankel transform are used to solve the problem. The expression of displacements, microrotation, volume fraction field, temperature distribution and stresses are obtained in the transformed domain subjected to thermomechanical sources. A computer algorithm is developed for numerical computations. To obtain the resulting quantities in a physical domain, a numerical inversion technique is used. The resulting quantities are depicted graphically for a specific model. Some special cases are also deduced.

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

2016

Vol. 20, nr 4

425--449

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.