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1
Content available remote Deformation of modified couple stress thermoelastic diffusion in a thick circular plate due to heat sources
Kumar R., Devi S.
Computational Methods in Science and Technology
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2019
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Vol. 25, No. 4
167--176
EN
The aim of this study is to present a mathematical model for predicting the results for displacements, stress components, temperature change and chemical potential with considering independently a particular type of heat source. The general solution for the two-dimensional problem of a thick circular plate with heat sources in modified couple stress thermoelastic diffusion has been obtained in the context of one and two relaxation times. Laplace and Hankel transforms technique is applied to obtain the solutions of the governing equations. Resulting quantities are obtained in the transformed domain. The numerical inversion technique has been used to obtain the solutions in the physical domain. Effects of time on the resulting quantities are shown graphically.
2
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.
3
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.
4
Content available Axisymmetric vibration for micropolar porous thermoelastic circular plate
Kumar R., Kaushal P., Sharma R.
International Journal of Applied Mechanics and Engineering
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2017
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Vol. 22, no. 3
583--600
EN
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.
5
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.
6
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.
7
Content available remote Axi-symmetric deformation due to mechanical and thermal sources in a thermoelastic body with voids
Kumar R., Rani L.
International Journal of Applied Mechanics and Engineering
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2007
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Vol. 12, no 2
447-463
EN
In the present investigation, axi-symmetric deformation due to a mechanical and thermal source in a homogeneous, isotropic, thermoelastic half-space with voids has been investigated. An integral transform technique has been used to solve the problem. As an application of the problem (i) continuous normal force (ii) normal force over the circular region (iii) thermal point source (iv) thermal source over the circular region have been considered. The components of displacement, stress, temperature distribution and change in volume fraction field are obtained in the transformed domain and inverted numerically using numerical inversion technique. For a specific model, the effect of voids on these quantities has been depicted graphically.
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