Dr. Roushan Kumar

The main aim of my research is to the study of thermo mechanical system that can be modeled with partial differential equations. I am interested in thermal problems involve initial boundary value problems. My research area also involves problem related to thermoelastic damping in micro- and Nano-electromechanical system (MEMS/NEMS) resonators.

Publications:

• Mukhopadhyay and Roushan Kumar, “A problem on thermoelastic interaction in an infinite medium with cylindrical hole in generalized thermoelasticity III”, J. Thermal Stresses, 31 (2008), pp 452-472. (Impact Factor: 1.169)
• Mukhopadhyay and Roushan Kumar, “A study of generalized thermoelastic interaction in an unbounded medium with spherical cavity”, Computers and Mathematics with Applications, 56 (2008), pp 2329-2339. Impact Factor: 1.996
• Mukhopadhyay and Roushan Kumar, “Thermoelastic interaction on two-temperature generalized thermoelasticity in an infinite medium with cylindrical cavity”, J. Thermal Stresses 32 (2008), 341-360. (Impact Factor: 1.169)
• Mukhopadhyay and Roushan Kumar, “A problem on thermoelastic interaction in an infinite medium with a cylindrical cavity”, Proceeding of Mathematical Society, BHU (2008). (Impact Factor: 00)
• Roushan Kumar and S. Mukhopadhyay, “Effects of three phase lags on generalized thermoelasticity for an infinite medium with a cylindrical cavity” Thermal Stresses 32 (2009), 1149–1165 (Impact Factor: 1.169)
• Mukhopadhyay and Roushan Kumar, “Finite difference model for generalized thermoelastic interaction in a cylindrical annulus with temperature dependent physical property,” Computational Methods in Science and Technology, 15(2) (2009) 169-176. (Impact Factor: 00)
• Mukhopadhyay and Roushan Kumar, “A problem on thermoelastic interaction Without energy dissipation in an unbounded medium with a spherical cavity”, Proceeding of National Academy of Science, India vol. 79 (2009), pt I, 135-140. (Impact Factor: 0.179)
• Mukhopadhyay and Roushan Kumar, “Effect of phase lags on a thick plate under asymmetric temperature distribution”, Acta Mech 210 (2010) 331-344. (Impact Factor: 1.268)
• Roushan Kumar and S. Mukhopadhyay, “Effects of Relaxation time on Plane wave propagation in two-temperature thermoelasticity”, Int J of Engg. Science 48 (2010) 128–139. (Impact Factor: 2.291)
• Santwana Mukhopadhyay and Roushan Kumar, “State Space Approach to Thermoelastic Interactions in Generalized Thermoelasticity type III”, Archive of Appl. Mech., 86 (2010),869-884(Impact Factor: 1.438) 
• Roushan Kumar, R. Prasad and S. Mukhopadhyay,” Variational and Reciprocal Principles in Generalized Theory of Two-temperature Thermoelasticity”, Journal of Thermal stress 33(2010) 161–171. (Impact Factor: 1.169)
• Mukhopadhyay and Roushan Kumar, Solution of a problem of infinite elastic medium with a cylindrical cavity under two-temperature thermoelasticity with thermal relaxation parameters, Proceeding of National Academy of Science, (Published-2010). (Impact Factor: 1.169)
• Kothari, Roushan Kumar and S. Mukhopadhyay, On the fundamental solutions of generalized thermoelasticity with three phase lags, Journal of Thermal stress, 33(2010), 1035 - 1048. (Impact Factor: 1.169)
• Mukhopadhyay, S. Kothari and Roushan Kumar, On the representation of the theory of generalized thermoelasticity with three phase lags, Acta Mechanica 214 (2010)305-314 (Impact Factor: 1.268)
• Roushan Kumar, S. Kothari, S. Mukhopadhyay, Variational and Reciprocal Principles in Generalized thermoelastic diffusion, Acta Mechanica 217 (2010), 287–296. (Impact Factor: 1.268)
• Roushan Kumar, R. Prasad, S. Mukhopadhyay, Some theorems on two-temperature generalized thermoelasticity, Archive of Appl. Mech. (Impact Factor: 1.438)
• Prasad, Roushan Kumar, S. Mukhopadhyay, Propagation of harmonic plane waves under thermoelasticity with dual-phase-lags, Int. J. Engineering Science 48(2010) 2028–2043(Impact Factor: 2.291)
• Roushan Kumar and S. Mukhopadhyay, Effects of phase lag on plane wave propagation under three phase lag generalized thermoelasticity, Computational Methods in Science and Technology, 16(1) (2010), 19-28.
• Mukhopadhyay, R. Prasad and Roushan Kumar, On the theory of two-temperature thermoelasticity with two phase-lags, Journal of Thermal Stresses 34 (2011),352 - 365 (Impact Factor: 1.169)
• Prasad, Roushan Kumar, S. Mukhopadhyay Effects of phase lags on wave propagation in an infinite solid due to a continuous line heat source, Acta Mechanica 217 (2011),243–256. (Impact Factor: 1.268)
• Mukhopadhyay, R. Prasad, Roushan Kumar, Variational and Reciprocal Principles in Type-III Thermoelasticity, Mathematics and Mech. With Solids 13 (2011). (Impact Factor: 0.860)
• Mukhopadhyay, S Kothari and Roushan kumar, Domain of influence theorem for dual phase lag model, J. Thermal Stresses, 34, Issue 9, 2011(Impact Factor: 1.169).
• Mukhopadhyay, Roushan kumar and Rajesh Prasad, Comments on the article ‘‘On the propagation of harmonic plane waves under the two-temperature theory’’ [P. Puri, P.M. Jordan, Int. J. Eng. Sci. 44 (2006) 1113–1126], International Journal of Engineering Science, 51 (2012) 344-347. (Impact Factor: 2.291)
• Roushan Kumar, Anil Kumar, S. Mukhopadhyay, An investigation on thermoelastic interactions under two-temperature thermoelasticity with two relaxation parameters, Mathematics and Mech. With Solids, 21(6), (2014) 725-736 (Impact Factor: 0.860)
• Santwana Mukhopadhyay, Shweta Kothari and Roushan Kumar, “Dual phase-lag thermoelasticity”, Encyclopedia of Thermal Stresses, Springer (2014)
• A Kumar, and Roushan kumar, Domain of influence theorem for three phase lag model, J. Thermal Stresses (2015). (Impact Factor: 3.456)
• Roushan Kumar, Ravi Kumar and Harendra Kumar, Effects of phase-lag on thermoelastic damping in micromechanical resonators, Journal of Thermal Stresses, 41(9) (2018). (Impact Factor: 3.456)
• Roushan Kumar and Ravi Kumar, A study of thermoelastic damping in micromechanical resonators under unified generalized thermoelasticity formulation. Noise & Vibration Worldwide, 50(6), 169-175 (2019).
• Roushan Kumar and Ravi Kumar, Effects of Phase Lags on Thermoelastic Damping in Micro-Beam Resonators, International Journal of Structural Stability and Dynamics, 19(09), 1971005, 2019
• Roushan Kumar, Rashmi Prasad and Ravi Kumar, Thermoelastic interactions on hyperbolic two-temperature generalized thermoelasticity in an infinite medium with a cylindrical cavity, European Journal of Mechanics-A/Solids, 82, 104007, (2020). (Impact Factor: 4.87)
• Rashmi Prasad and Roushan Kumar, On the characterization and stability of plane waves under hyperbolic two-temperature generalized thermoelasticity, Journal of Thermal Stresses 43(12) 1513-1530 2020. (Impact Factor: 3.456)
• Ravi Kumar, Rakhi Tiwari and Roushan Kumar, Significance of memory-dependent derivative approach for the analysis of thermoelastic damping in micromechanical resonators, Mechanics of Time-Dependent Materials, 26 101-118 (2020). (Impact Factor: 2.538)
• Rakhi Tiwari, Roushan Kumar and Ravi Kumar, Analysis of magnetic field effect in micro-beam resonators at distinct boundary conditions, Waves in Random and Complex Media, 171 (2021). (Impact Factor: 4.051)
• Rashmi Prasad and Roushan Kumar, Thermoelastic interactions on thick granular plate with three-phase-lag model under axisymmetric temperature distribution, Waves in Random and Complex Media, 1-21, (2021). (Impact Factor: 4.051)
• Ravi Kumar and Roushan Kumar, Effect of two-temperature parameter on thermoelastic vibration in micro and nano beam resonator, European Journal of Mechanics - A/Solids, 89, 104310 (2021). (Impact Factor: 4.873)
• Rashmi Prasad and Roushan Kumar, Thermoelastic interactions on a thick granular plate with type II thermoelasticity under axisymmetric temperature distribution, Waves in Random and Complex Media, (2022). (Impact Factor: 4.051)
• Rashmi Prasad, Satyam Sachan, and Roushan Kumar, Representation of solutions of strain gradient dual-phase-lag thermoelasticity and effects of scale-length parameter in half-space, Mathematics and Mechanics of Solids, (2022). (Impact Factor: 2.719)

• Book Chapter :
  1. Santwana Mukhopadhyay, Shweta Kothari and Roushan Kumar, “Dual phase-lag thermoelasticity”, Encyclopedia of Thermal Stresses, Springer (2014)