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1
Content available remote Response of thermoelastic interactions in micropolar porous circular plate with three phase lag model
Kumar R., Miglani A., Rani R.
Mechanics and Mechanical Engineering
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2018
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Vol. 22, nr 4
999--1014
EN
The present study deals with a homogeneous and isotopic micropolar porous thermoelastic circular plate by employing eigenvalue approach in the three phase lag theory of thermoelasticity due to thermomechanical sources. The expressions of components of displacements, microrotation, volume fraction field, temperature distribution, normal stress, shear stress and couple shear stress are obtained in the transformed domain by employing the Laplace and Hankel transforms. The resulting quantities are obtained in the physical domain by employing the numerical inversion technique. Numerical computations of the resulting quantities are made and presented graphically to show the effects of void, phase lags, relaxation time, with and without energy dissipation.
2
Content available remote A two dimensional axisymmetric thermoelastic diffusion problem of micropolar porous circular plate with dual phase lag model
Kumar R., Miglani A., Rani R.
Mechanics and Mechanical Engineering
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2018
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Vol. 22, nr 4
1389--1406
EN
In the present work, we consider a two dimensional axisymmetric problem of micropolar porous circular plate with thermal and chemical potential sources in the context of the theory of dual phase lag generalized thermoelastic diffusion. The potential functions are used to analyze the problem. The Laplace and Hankel transforms techniques are used to find the expressions of displacements, microrotation, volume fraction field, temperature distribution, concentration and stresses in the transformed domain. The inversion of transforms based on Fourier expansion techniques is applied to obtain the results in the physical domain. The numerical results for resulting quantities are obtained and depicted graphically. Effect of porosity, LS theory and phase lag are presented on the resulting quantities. Some particular cases are also deduced.
3
Content available remote Analysis of micropolar porous thermoelastic circular plate by eigenvalue approach
Kumar R., Miglani A., Rani R.
Archives of Mechanics
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2016
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Vol. 68, nr 6
423--439
EN
The present paper examined a two-dimensional axi-symmetric problem of thick circular plate in a micropolar porous thermoelastic medium due to thermomechanical sources. An eigenvalue approach has been employed after applying the Laplace and Hankel transforms to investigate the problem. The expressions of displacements, stresses, microrotation, volume fraction field and temperature distribution are obtained in the transformed domain. A numerical inversion technique has been used to obtain the resulting quantities in the physical domain. The numerical simulated resulting quantities are shown graphically to depict the effects of thermal forces and porosity. Particular cases of interest are also studied and presented.
4
Content available remote Elastodynamics response of expanding surface loads in a fluid saturated porous medium
Kumar R., Kumar S., Miglani A.
International Journal of Applied Mechanics and Engineering
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2011
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Vol. 16, no 1
57-67
EN
The present investigation is concerned with axi-symmetric deformation in a fluid saturated incompressible porous medium whose surface is subject to loads that suddenly emanate from a point on the surface and expand radially at constant rate. The cases of loads shaped as a ring and disc are considered in detail. These loads are chosen so that they exert a constant force on the surface as they expand. Laplace and Hankel transform techniques are used to solve the problem. The integral transforms are inverted by using a numerical inversion technique to obtain the components of stresses and pore pressure in the physical domain. The results concerning these quantities are given and illustrated graphically to depict the effect of pore pressure. A particular case of interest deduced from the present investigation.
5
Content available Reflection and transmission of plane waves between two different fluid saturated porous half spaces
Kumar R., Miglani A., Kumar S.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2011
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Vol. 59, nr 2
227-234
EN
The present study is concerned with the reflection and transmission of plane waves between two different fluid saturated porous half spaces when longitudinal and transversal waves impinge obliquely at the interface. Amplitude ratios of various reflected and transmitted waves are obtained .The variations of amplitude ratios with angle of incidence are depicted graphically. A particular case of reflection at the free surface in fluid saturated porous half spaces has been deduced and discussed. A special case of interest has also been deduced from the present investigation.
6
Content available remote Elastodynamic response of various sources in micropolar thermodiffusive elastic medium
Kumar R., Kaushal S., Miglani A.
International Journal of Applied Mechanics and Engineering
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2010
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Vol. 15, no 1
63-98
EN
A general solution to the field equations of a micropolar thermodiffusive elastic solid are obtained in the transformed form, using the Laplace and Fourier transform techniques. The deformation due to various sources has been investigated. As an application, concentrated and distributed sources are taken to show the utility of the approach. The transformed solutions are inverted using a numerical inversion technique to invert the Laplace and Fourier transforms. The components of stress, temperature distribution and chemical potential distribution are obtained numerically and discussed graphically to depict the effects of micropolarity and diffusion.
7
Interaction due to thermodiffusive and mechanical sources in micropolar elastic medium
Kumar R., Kaushal S., Miglani A.
Journal of Technical Physics
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2009
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Vol. 50, no 4
317-342
EN
In this present paper, first the equations of generalized micropolar thermodiffusive medium, based on the theory of Lord and Shulman with one relaxation time are derived and then, deformation in a micropolar thermoelastic diffusive medium has been studied due to various sources. Laplace and Fourier transforms are used to solve the problem. The application of concentrated normal force, thermal point source and chemical potential point source has been considered to show the utility of the solution obtained. The transformed components of stress, temperature distribution and chemical potential are inverted numerically using a numerical inversion technique. The effect of micropolarity and diffusion on these quantities are presented graphically in order to illustrate and compare the analytical results. Some special cases of micropolarity and diffusion are also deduced.
8
Content available remote Axisymmetric deformation of an isotropic elastic liquid-saturated porous medium using an eigenvalue approach
Kumar R., Miglani A., Garg N. R.
International Journal of Applied Mechanics and Engineering
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2007
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Vol. 12, no 4
1009-1025
EN
A deformation problem of an isotropic elastic liquid-saturated porous medium has been discussed by finding a general solution to the field equations of poroelasticity under axisymmetric conditions. An eigenvalue approach using the Laplace and the Hankel transforms is applied to get the solution. To show the utility of the solution obtained, an application of an infinite space with a concentrated point force acting at some interior point of the medium has been considered. The transformed solutions are inverted numerically, using a numerical inversion technique to invert the Laplace and the Hankel transforms. The results in the form of displacement and stress components have been obtained numerically and discussed graphically for a particular model.
9
Surface wave propagation in an oceanic crust model
Kumar R., Miglani A.
Acta Geophysica Polonica
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2004
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Vol. 52, nr 4
443-456
EN
Dispersion of Rayleigh type surface wave propagation has been discussed for a model of oceanic crust that includes a layer of liquid-saturated porous solid over an impervious isotropic elastic half-space in the model already considered by Kaushik and Tomar. Frequency equation is obtained in the form of determinant. The effects of the width of different layers as well as the inhomogeneity of inhomogeneous layer on surface waves are depicted and shown graphically by considering a particular model. Some special cases have been deduced, which have already been discussed elsewhere.
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