Aseem Miglani
@cdlu.ac.in
Professor, Department of Mathematics, Faculty of Physical Sciences
Chaudhary Devi Lal University, Sirsa
EDUCATION
Ph.D. in Mathematics
RESEARCH INTERESTS
Applied Mathematics
Mechanics of Continuous Media
Mechanics of Solids
Poroelasticity
Seismology
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
Rajneesh Kumar, R. Rani and A. Miglani
In the present manuscript, we investigated a two dimensional axisymmetric problem of nonlocal microstretch thermoelastic circular plate subjected to thermomechanical sources. An eigenvalue approach is proposed to analyze the problem. Laplace and Hankel transforms are used to obtain the transformed solutions for the displacements, microrotation, microstretch, temperature distribution and stresses. The results are obtained in the physical domain by applying the numerical inversion technique of transforms. The results of the physical quantities have been obtained numerically and illustrated graphically. The results show the effect of nonlocal in the cases of Lord Shulman (LS), Green Lindsay (GL) and coupled thermoelasticity (CT) on all the physical quantities.
R. Kumar, A. Miglani, and R. Rani
Oxford University Press (OUP)
AbstractThe present study is to focus on the two dimensional problem of micropolar porous circular plate with three phase lag model within the context of two temperatures generalized thermoelasticity theory. The problem is solved by applying Laplace and Hankel transforms after using potential functions. The expressions of displacements, microrotation, volume fraction field, temperature distribution and stresses are obtained in the transformed domain. To show the utility of the approach, normal force and thermal source are taken. The numerical inversion techniques of transforms have been carried out in order to evaluate the resulting quantities in the physical domain. Finally, the resulting quantities are depicted graphically to show the effect of porosity, two temperatures and phase lags.
R. Kumar, R. Rani, and A. Miglani
Informa UK Limited
ABSTRACT In the present manuscript, the eigenvalue approach is used for the two-dimensional problem of nonlocal microstretch circular plate subjected to mechanical source. The Laplace and Hankel transforms are applied to solve the problem. The inversion of the Laplace and Hankel transforms are carried out using the inversion formula of the transforms together with Fourier expansion techniques. Numerical inversion methods are applied to obtain the results in the physical domain. The results for microstretch and nonlocal elasticity are deduced as special cases from the present formulation. Numerical results are represented graphically and discussed to show the effect of nonlocal and microstretch.
Rajneesh Kumar, Aseem Miglani, and Rekha Rani
Emerald
Purpose The purpose of this paper is to study the axisymmetric problem in a micropolar porous thermoelastic circular plate with dual phase lag model by employing eigenvalue approach subjected to thermomechanical sources. Design/methodology/approach The Laplace and Hankel transforms are employed to obtain the expressions for displacements, microrotation, volume fraction field, temperature distribution and stresses in the transformed domain. A numerical inversion technique has been carried out to obtain the resulting quantities in the physical domain. Effect of porosity and phase lag on the resulting quantities has been presented graphically. The results obtained for Lord Shulman theory (L-S, 1967) and coupled theory of thermoelasticity are presented as the particular cases. Findings The variation of temperature distribution is similar for micropolar thermoelastic with dual (MTD) phase lag model and coupled theory of thermoelasticity. The variation is also similar for tangential couple stress for MTD and L-S theory but opposite to couple theory. The behavior of volume fraction field and tangential couple stress for L-S theory and coupled theory are observed opposite. The values of all the resulting quantities are close to each other away from the sources. The variation in tangential stress, tangential couple stress and temperature distribution is more uniform. Originality/value The results are original and new because the authors presented an eigenvalue approach for two dimensional problem of micropolar porous thermoelastic circular plate with dual phase lag model. A comparison of porosity, L-S theory and coupled theory of micropolar thermoelasticity is made. Such problem has applications in material science, industries and earthquake problems.
Aseem Miglani and Sachin Kaushal
Springer Science and Business Media LLC
R. Kumar, S. Kumar, and A. Miglani
Pleiades Publishing Ltd
Rajneesh Kumar, Aseem Miglani, and Sanjay Kumar
Emerald
PurposeThe purpose of this paper is establish a model of the equations of a two‐dimensional problem of fluid saturated porous medium for a half space.Design/methodology/approachA state space approach has been applied to solve the problem. Normal mode analysis is used to obtain the exact expressions for normal stress, tangential stress and pore pressure.FindingsA computer programme is developed and numerical results are obtained for normal stress, tangential stress and pore pressure and depicted graphically for a special model. A particular case of interest has also been deduced from the present investigation.Originality/valueThe disturbance due to force in normal and tangential direction and porosity effect have been observed by the method of normal mode analysis.
R. Kumar, A. Miglani, and S. Kumar
Walter de Gruyter GmbH
R Kumar, S Kaushal, and A Miglani
SAGE Publications
In the present investigation, the constitutive relations and field equations for micropolar generalized thermodiffusive are derived and deduced for the Green and Lindsay (G—L) theory, in which thermodiffusion are governed by four different relaxation times. The general solution to the field equations in micropolar generalized thermodiffusive is investigated by applying the Laplace and Fourier transforms as a result of concentrated normal force, or thermal point source or potential point source. To get the solution in the physical form, a numerical inversion technique has been applied. The components of displacement, stress, temperature distribution, and chemical potential for the G—L theory and coupled thermoelasticity theory on these quantities have been depicted graphically to show the impact of micropolarity and diffusion. Some special cases are also deduced from the present investigation.
Sachin Kaushal, Rajneesh Kumar, and Aseem Miglani
Springer Science and Business Media LLC
Rajneesh Kumar, Sachin Kaushal, and Aseem Miglani
Informa UK Limited
Within the framework of investigation, a general solution to the field equations of micropolar thermodiffusive elastic medium for two-dimensional problem based on the concept of Lord and Shulman [1] theory are obtained by employing Laplace and Fourier transforms. The application of distributed sources has been considered to show the utility of the problem. The transformed components of displacement, stress, temperature distribution and chemical potential distribution are inverted numerically using a numerical inversion technique. Impact of relaxation time, diffusion and micropolarity on these resulting quantities are presented graphically. Some special cases of interest are also deduced from present investigation.
Rajneesh Kumar, Aseem Miglani, and N. R. Garg
Springer Science and Business Media LLC
Rajneesh Kumar, N.R. Garg, and Aseem Miglani
Elsevier BV
N. R. Garg, Anita Goel, Aseem Miglani, and Rajneesh Kumar
Springer Science and Business Media LLC
R. Kumar, A. Miglani, and N. R. Garg
Springer Science and Business Media LLC
Rajneesh Kumar, N.R. Garg, and Aseem Miglani
Elsevier BV
N. R. Garg, Rajneesh Kumar, Anita Goel, and Aseem Miglani
Springer Science and Business Media LLC