A Dual-Phase-Lag Model of an Infinite Plate of a Thermoelastic Medium with Double-Porosity and Fractional Time Derivative Aseem Miglani, Rajneesh Kumar, Amarjyot Kaur, Monika Kalra Mechanics of Solids, 2025 Abstract In this paper, we talked about the fractional thermoelastic deformation of double-porous material with two-phase-lag by using a mathematical model of an infinite plate that is being acted upon by a normal thermomechanical force. We have used the eigen-value method by applying the Laplace and Fourier transforms to solve the problem, which led to the finding of the transformed form of the solution. A computer program in MATLAB is used for the numerical inversion of the integral transforms to get the solution numerically for a certain model. We considered the numerical results and made graphs to show how the fractional order parameter and the double porous parameter changed the stress and temperature patterns. It is identified that the fractional order parameter and the medium’s double porosity have a substantial effect on the stress and temperature distribution in the plate.
Deformation problem for a double porous viscoelastic medium using state space approach Italian Journal of Pure and Applied Mathematics, 2022
A problem of axisymmetric vibration of nonlocal microstretch thermoelastic circular plate with thermomechanical sources Rajneesh Kumar, R. Rani, A. Miglani Journal of Solid Mechanics, 2019 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.
Generalized two temperatures thermoelasticity of micropolar porous circular plate with three phase lag model R. Kumar, A. Miglani, R. Rani Journal of Mechanics, 2018 The 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.
Nonlocal elasticity theory for microstretch circular plate with mechanical source R. Kumar, R. Rani, A. Miglani Mechanics of Advanced Materials and Structures, 2018 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.
A two dimensional axisymmetric thermoelastic diffusion problem of micropolar porous circular plate with dual phase lag model Rajneesh Kumar, Aseem Miglani, Rekha Rani Mechanics and Mechanical Engineering, 2018 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.
Thermoelastic deformation of a double-porous half-space medium with three-phase-lag model taking fractional derivatives A Miglani, R Kumar, A Kaur, M Kalra Coupled Systems Mechanics 14 (6), 551 , 2025 2025
A Dual-Phase-Lag Model of an Infinite Plate of a Thermoelastic Medium with Double-Porosity and Fractional Time Derivative A Miglani, R Kumar, A Kaur, M Kalra Mechanics of Solids 60 (3), 2000-2017 , 2025 2025
Axisymmetric deformation of a circular plate of double-porous fractional order thermoelastic medium with dual-phase-lag A Miglani, R Kumar, A Kaur, M Kalra Acta Mechanica 235 (12), 7263-7278 , 2024 2024 Citations: 4
Axisymmetric deformation of thick circular plate in microelongated thermoelastic solid R Kumar, A Miglani, R Kumar Coupled systems mechanics 13 (3), 231-245 , 2024 2024 Citations: 1
Topological Methods in Dynamical Systems B Lal, A Miglani, V Singh Journal Homepage: http://www. ijmra. us 11 (09) , 2022 2022
CONTINUITY OF THE FRACTIONAL PART FUNCTION AND DYNAMICS OF CIRCLE B LAL, A MIGLANI, V SINGH Journal of applied mathematics & informatics 40 (5_6), 1167-1179 , 2022 2022
Unsteady mhd free convection with radiation and joule’s heating effect on vertical stretching plate entrenched in a porous medium M Miglani, NR Garg, MK Sharma, A Miglani Asian Journal of Science and Technology 12 (01), 11442-11451 , 2021 2021
A two dimensional axisymmetric thermoelastic diffusion problem of micropolar porous circular plate with dual phase lag model R Kumar, A Miglani, R Rani Mechan. Mech. Eng. 22 (4), 1389-1406 , 2020 2020 Citations: 7
Response of Thermoelastic Double Porous Medium Due to Inclined Load R Kumar, A Miglani, S Chopra, M Kalra Solid State Technology, 3164-3174 , 2020 2020
Axisymmetric problem of a microelongated thermo‐elastic medium due to thermo‐mechanical sources R Kumar, A Miglani, R Rani Int J Theor Appl Mech 4, 52-61 , 2019 2019 Citations: 2
A problem of axisymmetric vibration of nonlocal microstretch thermoelastic circular plate with thermomechanical sources R Kumar, R Rani, A Miglani JOURNAL OF SOLID MECHANICS 11 (1), 1-13 , 2019 2019 Citations: 5
Generalized two temperatures thermoelasticity of micropolar porous circular plate with three phase lag model R Kumar, A Miglani, R Rani Journal of Mechanics 34 (6), 779-789 , 2018 2018 Citations: 15
Nonlocal elasticity theory for microstretch circular plate with mechanical source R Kumar, R Rani, A Miglani Mechanics of Advanced Materials and Structures 25 (13), 1133-1139 , 2018 2018 Citations: 3
Response of thermoelastic interactions in micropolar porous circular plate with three phase lag model R Kumar, A Miglani, R Rani Mechanics and Mechanical Engineering 22 (4), 999-1014 , 2018 2018 Citations: 2
Transient analysis of nonolocal microstretch thermoelastic thick circular plate with phase lags R Kumar, A Miglani, R Rani Med. J. Model. Simul 9, 25-42 , 2018 2018 Citations: 23
Eigenvalue formulation to micropolar porous thermoelastic circular plate using dual phase lag model R Kumar, A Miglani, R Rani Multidiscipline Modeling in Materials and Structures 13 (2), 347-362 , 2017 2017 Citations: 16
International Journal of Mathematical Archive-8 (12), 2017, 23-28 Available online through www. ijma. info ISSN 2229–5046 B LAL, A MIGLANI, V KUMAR 2017
On three phase lags thermo-diffusion theory in micropolar porous circular plate R Kumar, A Miglani, R Rani Med. J. Model. Simul 8 (057), 073 , 2017 2017 Citations: 1
Analysis of micropolar porous thermoelastic circular plate by eigenvalue approach R Kumar, A Miglani, R Rani Archives of Mechanics 68 (6), 423-439 , 2016 2016 Citations: 17
Chitkara University Publications B Lal, A Miglani, V Kumar Orbit , 2016 2016
MOST CITED SCHOLAR PUBLICATIONS
Reflection and transmission of plane waves between two different fluid-saturated porous half-spaces R Kumar, S Kumar, A Miglani Journal of applied mechanics and technical physics 52 (5), 773-782 , 2011 2011 Citations: 49
Wave propagation in temperature rate dependent thermoelasticity with two temperatures S Kaushal, R Kumar, A MIGLANIB Mathematical Sciences 5 (2), 125-146 , 2011 2011 Citations: 36
Plan strain deformation of an orthotropic elastic medium using an eigenvallue approach G NR, R Kumar, A Goel, A Mglani Earth, planets and space 55 (1), 3-7 , 2003 2003 Citations: 36
Radial displacements of an infinite liquid saturated porous medium with cylindrical cavity R Kumar, A Miglani, L Debnath Computers & Mathematics with Applications 37 (7), 117-123 , 1999 1999 Citations: 32
Transient analysis of nonolocal microstretch thermoelastic thick circular plate with phase lags R Kumar, A Miglani, R Rani Med. J. Model. Simul 9, 25-42 , 2018 2018 Citations: 23
Plain strain problem of poroelasticity using eigenvalue approach R Kumar, A Miglani, NR Garg Journal of Earth System Science 109 (3), 371-380 , 2000 2000 Citations: 23
Elastodynamics of an axisymmetric problem in an anisotropic liquid-saturated porous medium R Kumar, NR Garg, A Miglani Journal of sound and vibration 261 (4), 697-714 , 2003 2003 Citations: 18
Analysis of micropolar porous thermoelastic circular plate by eigenvalue approach R Kumar, A Miglani, R Rani Archives of Mechanics 68 (6), 423-439 , 2016 2016 Citations: 17
Eigenvalue formulation to micropolar porous thermoelastic circular plate using dual phase lag model R Kumar, A Miglani, R Rani Multidiscipline Modeling in Materials and Structures 13 (2), 347-362 , 2017 2017 Citations: 16
Generalized two temperatures thermoelasticity of micropolar porous circular plate with three phase lag model R Kumar, A Miglani, R Rani Journal of Mechanics 34 (6), 779-789 , 2018 2018 Citations: 15
Response of an anisotropic liquid-saturated porous medium due to two dimensional sources R Kumar, A Miglani, NR Garg Proceedings of the Indian Academy of Sciences-Earth and Planetary Sciences … , 2002 2002 Citations: 15
Response of frequency domain in generalized thermoelasticity with two temperatures S Kaushal, R Kumar, A Miglani Journal of Engineering Physics and Thermophysics 83 (5), 1080-1088 , 2010 2010 Citations: 14
Dynamic behaviour of an anisotropic liquid-saturated porous medium in frequency domain R Kumar, NR Garg, A Miglani Journal of sound and vibration 275 (3-5), 877-891 , 2004 2004 Citations: 14
Effect of pore alignment on surface wave propagation in a liquid-saturated porous layer over a liquid-saturated porous half-space with loosely bonded interface R Kumar, A Miglani Journal of Physics of the Earth 44 (3), 153-172 , 1996 1996 Citations: 13
Normal mode analysis in fluid saturated porous medium R Kumar, A Miglani, S Kumar Multidiscipline modeling in materials and structures 7 (1), 29-43 , 2011 2011 Citations: 11
Contemporary orthodontic bonding adhesives-An in vitro Study RR Kumar, M Kaur, A Miglani Journal of Pierre Fauchard Academy (India Section) 25 (3), 144-148 , 2011 2011 Citations: 9
Analysis of deformation due to various sources in micropolar thermodiffusive elastic medium R Kumar, S Kaushal, A Miglani International Journal for Computational Methods in Engineering Science and … , 2010 2010 Citations: 8
Surface wave propagation in a double liquid layer over a liquid-saturated porous half-space R Kumar, A Miglani, NR Garg Sadhana 27 (6), 643-655 , 2002 2002 Citations: 8
A two dimensional axisymmetric thermoelastic diffusion problem of micropolar porous circular plate with dual phase lag model R Kumar, A Miglani, R Rani Mechan. Mech. Eng. 22 (4), 1389-1406 , 2020 2020 Citations: 7
Wave propagation in micropolar thermoelastic diffusion medium A Miglani, S Kaushal Journal of Solid Mechanics 4 (2), 195-208 , 2012 2012 Citations: 6