Course Taught at  Indian Institute of Technology (BHU)

• Mathematics-I
• Mathematics-II
• Mathematical Methods
• Numerical Techniques
• Computer Programming
• Data Structures 
• Design and Analysis of Algorithms 
• Theory of Computation
• Ordinary Differential Equations
• Computer Graphics
• Theory of Elasticity
• Computer Programming with Applications to Numerical Methods

Fields of interest:

• Mathematical Modelling on Coupled Thermomechanical Problems.
• Non-Fourier Heat Conduction.
• Fractional order Thermoelasticity.
• Nonlinear Dynamics.

1.  Arnab Mapui, Arzoo Jamal, Santwana Mukhopadhyay, “Predefined-time stability and its application using non-singular sliding mode control”, Communications in Nonlinear Science and Numerical Simulation, 132, 107901 (2024).
2. Anjali Srivastava, Santwana Mukhopadhyay, "Damping analysis of a transversely isotropic piezothermoelastic nanobeam resonator based on the MGT thermoelasticity", European Journal of Mechanics-A/Solids, 106, 105327 (2024).
3. Manushi Gupta, Santwana Mukhopadhyay, "On the reflection of thermoelastic waves under an exact heat conduction model with a delay and temperature-dependent elastic parameters", Waves in Random and Complex Media 34 (2), 969-1000 (2024).
4. Md Arzoo Jamal, Subir Das, Santwana Mukhopadhyay, "Fixed-time synchronization of delayed inertial Cohen-Grossberg neural networks with desynchronizing impulses", Communications in Nonlinear Science and Numerical Simulation, 130, 107772 (2024).
5.  Bhagwan Singh , Komal Jangid, Santwana Mukhopadhyay , “Implementation of Legendre wavelet method for the size dependent bending analysis of nano beam resonator under nonlocal strain gradient theory’, Computers and Mathematics with Applications 153, 94–107 (2024).
6.  Komal Jangid, Bhagwan Singh, Santwana Mukhopadhyay, “Legendre wavelet collocation method for investigating thermo-mechanical responses on biological tissue during laser irradiation”, Mathematics and Computers in Simulation, 219, 404-423 (2024).
7.  Arzoo Jamal, Arnab Mapui, Subir Das and Santwana Mukhopadhyay, “Further results on fixed-time synchronization of the memristor neural networks with impulsive effects”, Communications in Nonlinear Science and Numerical Simulation 118, 107038 (2023).
8.  Robin Vikram Singh and Santwana Mukhopadhyay, “Mathematical significance of strain rate and temperature rate on heat conduction in thermoelastic material due to line heat source”, Journal of Thermal Stresses, 46, 1164-1179 (2023).
9.  Komal Jangid and Santwana Mukhopadhyay, “Application of Legendre wavelet collocation method to the analysis of poro-thermoelastic coupling with variable thermal conductivity” Computers and Mathematics with Applications 146, 1-11 (2023).
10.  Arzoo Jamal, Rakesh Kumar, Santwana Mukhopadhyay and Oh-Min Kwon, “Fixed-time stability of Cohen-Grossberg BAM neural networks with impulsive perturbation.” Neurocomputing 550, 126501 (2023).
11.  Anjali Srivastava and Santwana Mukhopadhyay, “Study of thermoelastic interactions in thin and long radiating rods under Moore–Gibson–Thompson theory of thermoelasticity”, Acta Mechanica 234, 4509-4522 (2023).
12.  Bhagwan Singh, and Santwana Mukhopadhyay, “Thermoelastic vibration of Timoshenko beam under modified couple stress theory and Moore–Gibson–Thompson (MGT) heat conduction model”, Mathematics and Mechanics of Solids, https://doi.org/10.1177/10812865231186127 (2023).
13.  Bhagwan Singh and Santwana Mukhopadhyay, “On fundamental solution of Moore–Gibson–Thompson (MGT) thermoelasticity theory”,  Z. Angew. Math. Phys. 74(3), 105 (2023).
14.  Robin Vikram Singh and Santwana Mukhopadhyay, “Study the effects of temperature and strain rates on transient thermomechanical responses on multilayer skin tissue”, European Journal of Mechanics-A/Solids., 100, 105028 (2023).
15.  Bhagwan Singh, Harendra Kumar and Santwana Mukhopadhyay, “Analysis of size effects on thermoelastic damping in the Kirchhoff’s plate resonator under Moore–Gibson–Thompson thermoelasticity”, Thin-Walled Struct., 180, 109793 (2022).
16.  Komal Jangid and Santwana Mukhopadhyay, “Thermoelastic interactions on temperature-rate dependent two-temperature thermoelasticity in an infinite medium subjected to a line heat source”,  Z. Angew. Math. Phys. 73, 196, (2022).
17.  Manushi Gupta, Komal Jangid, and Santwana Mukhopadhyay, “Domain of influence results of dual-phase-lag thermoelasticity theory for natural stress–heat-flux problem”, Z. Angew. Math. Phys. 73, 169 (2022).
18.  Om Namha Shivay and Santwana Mukhopadhyay, “Thermomechanical interactions due to mode-I crack under modified temperature-rate dependent two-temperature thermoelasticity theory”, Waves in Random and Complex Media, https://doi.org/10.1080/17455030.2022.2090640, (2022).
19. Harendra Kumar, Santwana Mukhopadhyay” Size-dependent thermoelastic damping analysis in nanobeam resonators based on Eringen’s nonlocal elasticity and modified couple stress theories”, Journal of Vibration and Control, 29, 1510-1524 (2022).
20.  JR. Fernandez, Santwana Mukhopadhyay, Ramon Quintanilla, Om Namha Shivay, “On the existence and decay in a new thermoelastic theory with two temperatures”, Zeitschrift für Analysis und ihre Anwendungen. 41 (1) (2022).
21.  Komal Jangid and Santwana Mukhopadhyay, “Variational principle and continuous dependence results on the generalized poro-thermoelasticity theory with one relaxation parameter”, Continuum Mechanics and Thermodynamics, 34,  867–881 (2022).
22.  Harendra Kumar and Santwana Mukhopadhyay, “Surface energy effects on thermoelastic vibration of nanomechanical systems under Moore-Gibson-Thompson thermoelasticity and Eringen’s nonlocal elasticity theories”, European Journal of Mechanics-A/Solids, Volume 93, 104530 (2022).
23.  Arzoo Jamal, Rakesh Kumar, Santwana Mukhopadhyay and Subir Das, “Fixed-time stability of dynamical systems with 2 impulsive effects”, Journal of Franklin Institute, https://doi.org/10.1016/j.jfranklin.2022.02.016, (2022).
24.  Bhagwan Singh, Harendra Kumar, and Santwana Mukhopadhyay, “Thermoelastic damping analysis in micro-beam resonators in the frame of modified couple stress and Moore–Gibson–Thompson (MGT) thermoelasticity theories”, Waves in Random and Complex Media, https://doi.org/10.1080/17455030.2021.2001073 ( 2021).
25. Robin Vikram Singh and Santwana Mukhopadhyay, “Study of wave propagation in an infinite solid due to a line heat source under Moore–Gibson–Thompson thermoelasticity”, Acta Mechanica, 232 (12), 4747-4760 ( 2021).
26. Komal Jangid, Manushi Gupta, and Santwana Mukhopadhyay, “On propagation of harmonic plane waves under the Moore-Gibson-Thompson thermoelasticity theory”, Waves in Random and Complex Media (2021), https://doi.org/10.1080/17455030.2021.1949071.
27.  Om Namha Shivay and Santwana Mukhopadhyay, “A porothermoelasticity theory for anisotropic medium”, Continuum Mechanics and Thermodynamics, 33, 2515–2532 (2021).
28.  Om Namha Shivay and Santwana Mukhopadhyay, “Variational principle and reciprocity theoremon the temperature-rate dependent theory of poro-thermoelasticity”, Acta Mechanica, 232 (9), 3655-3667 (2021).
29.  Manushi Gupta and Santwana Mukhopadhyay, “On the reflection of thermoelastic waves under an exact heat conduction model with a delay and temperature-dependent elastic parameters”. Waves in Random and Complex Media 1-32, (2021). https://doi.org/10.1080/17455030.2021.1925174.
30.  Harendra Kumar and Santwana Mukhopadhyay, “Response of deflection and thermal moment of Timoshenko microbeams considering modified couple stress theory and dual-phase-lag heat conduction model”, Composite Structures 263, 113620, (2021).
31.  Bhagwan Singh and Santwana Mukhopadhyay, “Galerkin-type solution for the Moore–Gibson–Thompson thermoelasticity theory”, Acta Mechanica 232(4), 1273-1283(2021).
32.  Robin Vikram Singh and Santwana Mukhopadhyay, “Relaxation effects on thermoelastic interactions for time-dependent moving heat source under a recent model of thermoelasticity”, Z. Angew. Math. Phys.  72(1), 1-13 (2021).
33.  Komal Jangid, and Santwana Mukhopadhyay, “A domain of influence theorem under MGT thermoelasticity theory”, Mathematics and Mechanics of Solids 26(2), 285-295 (2021).
34.  Komal Jangid and Santwana Mukhopadhyay, “A domain of influence theorem for a natural stress-heat-flux problem in the Moore-Gibson-Thompson thermoelasticity theory”, Acta Mechanica, 232, 177-187 (2021).
35.  Om Namha Shivay and Santwana Mukhopadhyay, “A complete Galerkin’s type approach of finite element for the solution of a problem on modified Green–Lindsay thermoelasticity for a functionally graded hollow disk”, European Journal of Mechanics-A/Solids 80, 103914 (2020).
36.  Robin Vikram Singh and Santwana Mukhopadhyay, “An investigation on strain and temperature rate-dependent thermoelasticity and its infinite speed behavior”, Journal of Thermal Stresses. 43(3), 269-283 (2020).
37.  Manushi Gupta and Santwana Mukhopadhyay, “Analysis of harmonic plane wave propagation predicted by strain and temperature-rate-dependent thermoelastic model”, Waves in Random and Complex Media, 31, 2481-2498 (2020).
38.  Bhagwan Singh, Manushi Gupta, and Santwana Mukhopadhyay, “On the fundamental solutions for the strain and temperature rate-dependent generalized thermoelasticity theory”, Journal of Thermal Stresses 43(5), 650-664 (2020).
39.  Harendra Kumar and Santwana Mukhopadhyay, “Thermoelastic damping analysis in microbeam resonators based on Moore–Gibson–Thompson generalized thermoelasticity theory”, Acta Mechanica 231, 3003–3015 (2020).
40.  Komal Jangid and Santwana Mukhopadhyay, “Variational and reciprocal principles on the temperature-rate dependent two-temperature thermoelasticity theory”, Journal of Thermal Stresses 43(7), 816-828 (2020).
41.  Om Namha Shivay and Santwana Mukhopadhyay, “On the temperature-rate dependent two-temperature thermoelasticity theory”, Journal of Heat Transfer, 142(2), 022102 (2020).
42.  Harendra Kumar and Santwana Mukhopadhyay, “Thermoelastic damping in micro and nano-mechanical resonators utilizing entropy generation approach and heat conduction model with a single delay term”, International Journal of Mechanical Sciences 165, 105211 (2020).
43.  Harendra Kumar and Santwana Mukhopadhyay, “Thermoelastic damping analysis for size-dependent microplate resonators utilizing the modified couple stress theory and the three-phase-lag heat conduction model”, International Journal of Heat and Mass Transfer 148, 118997 (2020).
44.  Manushi Gupta and Santwana Mukhopadhyay, “A study on generalized thermoelasticity theory based on non-local heat conduction model with dual-phase-lag”, Journal of Thermal Stresses 42(9) 1123-1135 (2019).
45. Manushi Gupta and Santwana Mukhopadhyay, “Galerkin-type solution for the theory of strain and temperature rate-dependent thermoelasticity”, Acta Mechanica 230(10) 3633-3643 (2019).
46.  Om Namha Shivay and Santwana Mukhopadhyay, “On the solution of a problem of extended thermoelasticity theory (ETE) by using a complete finite element approach”, Computational Methods in Science and Technology 25(2), 61-70 (2019).
47.  Harendra Kumar and Santwana Mukhopadhyay, “Analysis of the quality factor of micro-beam resonators based on heat conduction model with a single delay term”, J. Thermal Stresses 42(8), 929-942 (2019).
48.  Manushi Gupta and Santwana Mukhopadhyay, “Stochastic thermoelastic interaction under a dual phase-lag model due to random temperature distribution at the boundary of a half-space”, Mathematics and Mechanics of Solids, 24(6), 1873-1892 (2019).
49.  Om Namha Shivay and Santwana Mukhopadhyay, “Some basic theorems on a recent model of linear thermoelasticity for homogeneous and isotropic medium”, Mathematics and Mechanics of Solids, 24 (8), 2444-2457 (2019).
50.  Bharti Kumari, Anil Kumar and Santwana Mukhopadhyay, “An investigation on harmonic plane wave: detailed analysis of a recent thermoelastic model with single delay term”, Mathematics and Mechanics of Solids, 24(3), 828-844 (2019).
51.  Anil Kumar, Om Namha Shivay and Santwana Mukhopadhyay, “Infinite Speed Behavior of Two-Temperature Green Lindsay Thermoelasticity Theory under Temperature Dependent Thermal Conductivity”, Z. Angew. Math. Phys. , 70(1) 26 (2018).
52.  Shashi Kant and Santwana Mukhopadhyay, “An investigation on responses of thermoelastic interactions in a generalized thermoelasticity with memory dependent derivatives inside a thick plate”, Mathematics and Mechanics of Solids, 24(8), 2392-2409 (2018).
53.  Shashi Kant, Manushi Gupta, Om Namha Shivay, and Santwana Mukhopadhyay, “An Investigation on a two-dimensional problem of Mode-I crack in a thermoelastic medium”, Z. Angew. Math. Phys., 69(2) 21, (2018). DOI: https://doi.org/10.1007/s00033-018-0914-0.
54.  Shashi Kant and Santwana Mukhopadhyay, “Investigation on effects of stochastic loading at the boundary under thermoelasticity with two relaxation parameters”, Applied Mathematical Modeling (Elsevier), 54 648-669 (2018).
55.  Bharti Kumari, Anil Kumar, Manushi Gupta and Santwana Mukhopadhyay, “Analysis of a recent heat conduction model with a delay for thermoelastic interactions in an unbounded medium with a spherical cavity”, Applications and Applied Mathematics 13(2), 863-891 (2018).
56.  Shashi Kant and Santwana Mukhopadhyay: “A detailed comparative study on responses of some heat conduction models for an axi-symmetric problem of coupled thermoelastic interactions inside a thick plate”, International Journal of Thermal Sciences (Elsevier), 117 196-211 (2017).
57.  Anil Kumar and Santwana Mukhopadhyay, “Investigation on the effects of temperature dependency of material parameters on a thermoelastic loading problem”, Z. Angew. Math. Phys. , 68(4), 1-12, (2017).
58.  Shashi Kant and Santwana Mukhopadhyay, “Investigation of a problem of an elastic half space subjected to stochastic temperature distribution at the boundary”, Applied Mathematical Modeling, 46, 492-518 (2017).
59.  Rakhi Tiwari and Santwana Mukhopadhyay, “Analysis of wave propagation in presence of a continuous line heat source under heat transfer with memory dependent derivatives”, Mathematics and Mechanics of Solids, 23(5),820-834, (2018).
60.  Rakhi Tiwari and Santwana Mukhopadhyay, “On electro-magneto-thermoelastic plane waves under Green- Naghdi theory of thermoelasticity-II”, Journal of Thermal Stresses 40(8) 1040-1062 (2017).
61.  Anil Kumar, Bharti Kumari, and Santwana Mukhopadhyay, “Thermo-mechanical responses of an annular cylinder with temperature dependent material properties under thermoelasticity without energy dissipation”, Computational Methods in Science and Technology, 23 (4), 317-329 (2017).
62.  Bharti Kumari and Santwana Mukhopadhyay, “Fundamental Solutions of Thermoelasticity with a recent Heat Conduction Model with a Delay”, Journal of Thermal Stresses, 40(7) 866-878 (2017).
63.  Bharti Kumari and Santwana Mukhopadhyay, “A Domain of Influence Theorem for Thermoelasticity without Energy Dissipation”, Mathematics and Mechanics of Solids22(11) 2156-2164 (2017).
64.  Bharti Kumari and S. Mukhopadhyay, “Some Theorems on Linear Theory of Thermoelasticity for an Anisotropic Medium under an Exact Heat Conduction Model with a Delay”, Mathematics and Mechanics of Solids, 22(5) 1177-1189 (2017).
65.  Santwana Mukhopadhyay, Rainer Picard, Sascha Trostorff, Marcus Waurick, “A Note on a Two-Temperature Model in Linear Thermo-Elasticity”, Mathematics and Mechanics of Solids 22(5) 905-918 (2017).
66.  Anil Kumar, Shashi Kant and Santwana Mukhopadhyay, “An in-depth investigation on Plane Harmonic Waves under Two-temperature Thermoelasticity with two Relaxation Parameters”, Mathematics and Mechanics of Solids, 22(2) 191-209 (2017).
67.  Rakhi Tiwari and Santwana Mukhopadhyay, “On Harmonic Plane Wave Propagation under Fractional order Thermoelasticity: an Analysis of Fractional order Heat Conduction Equation”, Mathematics and Mechanics of Solids, 22(4) 782-797 (2017).
68.  Shashi Kant and Santwana Mukhopadhyay, “An investigation on coupled thermoelastic interactions in a thick plate due to axi-symmetric temperature distribution under an exact heat conduction with a delay”, International Journal of Thermal Sciences (Elsevier), 110 159-173 (2016).
69.  Santwana Mukhopadhyay and Roushan Kumar, “Study of a Problem of Annular Cylinder Under Two-Temperature Thermoelasticity with Thermal Relaxation Parameters”, Recent Advances in Mathematics, Statistics and Computer Science 69-79 (2016).
70.  Anil Kumar and Santwana Mukhopadhyay, “An Investigation on Thermoelastic Interactions under an Exact Heat Conduction Model with a Delay term”, Journal of Thermal Stresses, 39(8) 1002-1016 (2016).
71.  Bharti Kumari and Santwana Mukhopadhyay, “A domain of Influence Theorem for a Natural Stress-heat-flux Disturbance in Thermoelasticity of Type- II”, Journal of Thermal Stresses 39(8) 991-1001 (2016).
72.  Rakhi Tiwari, Anil Kumar, and Santwana Mukhopadhyay, “Investigation on Magneto- thermoelastic Disturbances Induced by Thermal Shock in an Elastic Half Space Having Finite Conductivity under Dual Phase-lag Heat Conduction”, Computational Methods in Science and Technology 22(4) 201-215 (2016).
73.  Roushan Kumar, Anil Kumar and Santwana Mukhopadhyay, "An investigation on thermoelastic interactions under two-temperature thermoelasticity with two relaxation parameters", Mathematics and Mechanics of Solids, 21(6) 725-736 (2016).
74.  Rakhi Tiwari and Santwana Mukhopadhyay, "Boundary Integral equations formulations for fractional order theory of thermoelasticty", Computational Methods in Science and Technology, 20, (2014) 49-58.
75.  Shweta Semwal and Santwana Mukhopadhyay, “Boundary integral equation formulation for generalized thermoelastic diffusion-Analytical aspects”, Applied Mathematical Modelling, 38 (2014) 3523-3537.
76.  Santwana Mukhopadhyay, Shweta Kothari and Roushan Kumar, “Dual phase-lag thermoelasticity”, Encyclopedia of Thermal Stresses, R.B. Hetnarski (Ed.), Springer Science+Buisness Media, Dordrecht, (2014), 1003-1017.
77.  Santwana Mukhopadhyay, R. Picard, S. Trostorff, M. Waurick, “On Some Models in Linear Thermo-Elasticity with Rational Material Laws”, Mathematics and Mechanics of Solids, (2014), 21(9) 1149-1163.
78.  Shweta Kothari and Santwana Mukhopadhyay, “Fractional order thermoelasticity for an infinite medium with spherical cavity subjected to different types of thermal loadings”, Journal of Thermoelasticity, 1, (2013) 35-41.
79.  Shweta Kothari and Santwana Mukhopadhyay, “Study of a problem of functionally graded hollow disk under various thermoelasticity theories with finite element method”, Computers and Mathematics with Applications 66, (2013) 1306-132.
80.  Shweta Kothari and Santwana Mukhopadhyay, "Some theorems in Linear Thermoelasticity with dual phase-lags for an anisotropic media", Journal of Thermal Stresses, 36, (2013) 985-1000.
81.  R. Prasad, S. Das and S. Mukhopadhyay, “Boundary integral equation formulation for coupled thermoelasticity with three phase-lags”, Mathematics and Mechanics of Solids, 18, (2013) 44-58.
82.  R. Prasad, S. Das and S. Mukhopadhyay, “A two dimensional problem of a mode-I crack in a type III thermoelastic medium”, Mathematics and Mechanics of Solids, 18, (2013), 506-523.
83.  Shweta Kothari and Santwana Mukhopadhyay, “A study of influence of diffusion inside a spherical shell under thermoelastic diffusion with relaxation times”, Mathematics and Mechanics of Solids, 18 (7), 722-737, 2013.
84.  Shweta Kothari and Santwana Mukhopadhyay, “On the Representations of Solutions in the Linear Theory of Generalized Thermoelastic Diffusion”, Mathematics and Mechanics of Solids, 17, (2012) 120-130.
85.  Santwana Mukhopadhyay, Rajesh Prasad and Roushan Kumar, “Comments on the article “On the propagation of harmonic plane waves under the two-temperature theory”(by P. Puri and P.M. Jordan, Int. J. Eng. Sci., 44 (2006)1113-1126), International Journal of Engineering Science, 51, (2012) 344-347.
86.  Shweta Kothari and Santwana Mukhopadhyay, “Study of harmonic plane waves in rotating thermoelastic media of type III”, Mathematics and Mechanics of Solids, 17, 824-839, (2012).
87.  R. Prasad and S. Mukhopadhyay, “Propagation of harmonic plane wave in a rotating elastic medium under two-temperature thermoelasticity with relaxation parameter”, Computational Methods in Science and Technology, 18, (2012) 25-37.
88.  R. Prasad, S. Das and S. Mukhopadhyay, “Effects of rotation on harmonic plane wave under two-temperature thermoelasticity”, Journal of Thermal Stresses, 35, (2012) 1037-1055.
89.  Roushan Kumar, Shweta Kothari and Santwana Mukhopadhyay, “Variational and Reciprocal principles in generalized thermoelastic diffusion”, ActaMechanica, 217, (2011) 287-296.
90.  Roushan Kumar, Rajesh Prasad and Santwana Mukhopadhyay, “Some theorems on two temperature generalized thermoelasticity”, Archive of Applied Mechanics, 81, (2011) 1031-1040.
91.  Rajesh Prasad, Roushan Kumar and Santwana Mukhopadhyay, “Effects of phase lags on wave propagation in an infinite solid due to a continuous line heat source”, ActaMechanica, 217, (2011) 243-256.
92.  Rajesh Prasad, Roushan Kumar and Santwana Mukhopadhyay, “On the theory of two temperature thermoelasticity with two phase-lags”, Journal of Thermal Stresses, 34, (2011) 352-365.
93.  Santwana Mukhopadhyay, Rajesh Prasad and Roushan Kumar, “Variational and reciprocal principles in linear theory of type-III thermoelasticity”, Mathematics and Mechanics of Solids 16, (2011) 435-444.
94.  Shweta Kothari and Santwana Mukhopadhyay, “A problem on elastic half space under fractional order theory of thermoelasticity”, Journal of Thermal Stresses, 34, (2011) 724-739.
95.  Subir Das, Santwana Mukhopadhyay and Rajesh Prasad, “Stress intensity factor of an edge crack in bonded orthotropic materials”, International Journal of Fracture, 168, (2011) 117-123.
96.  Santwana Mukhopadhyay, Shweta Kothari and Roushan Kumar, “A domain of influence theorem for thermoelasticity with dual phase-lags”, Journal of Thermal Stresses, 34, (2011) 923-933.
97.  R. Prasad, S. Das and S. Mukhopadhyay,“Stress intensity factor of an edge crack in composite media”,International Journal of Fracture, 172, (2011) 201-207.
98.  Santwana Mukhopadhyay and Roushan Kumar, “State space approach to thermoelastic interactions in generalized thermoelasticity type III”,Archives of Applied Mechanics, 80, (2010) 869-881.
99.  Roushan Kumar and Santwana Mukhopadhyay, Effects of relaxation time on plane wave propagation in two-temperature thermoelasticity, International Journal of Engineering Science, 48, (2010) 128-139.
100.  Santwana Mukhopadhyay and Roushan Kumar, “Analysis of phase-lag effects on wave propagation in a thick plate under axi-symmetric temperature distribution”, ActaMechanica, 210, (2010) 331-344.
101.  Roushan Kumar, Rajesh Prasad and Santwana Mukhopadhyay, “Variational and Reciprocal principles in two-temperature generalized thermoelasticity”, Journal of Thermal Stresses, 33, (2010) 161–171.
102.  Roushan Kumar and Santwana Mukhopadhyay, Effects of phase- lags on plane harmonic wave propagation, Computational Methods in Science and Technology, 16, (2010) 19-28.
103.  Santwana Mukhopadhyay, Shweta Kothari and Roushan Kumar, “On the representation of solutions for the theory of generalized thermoelasticity with three phase lags”, ActaMechanica, 214, (2010) 305-314.
104.  Rajesh Prasad, Roushan Kumar and Santwana Mukhopadhyay, “Propagation of harmonic plane waves under thermoelasticity with dual-phase-lags”, International Journal of Engineering Science, 48, (2010) 2028-2043.
105.  Shweta Kothari, Roushan Kumar and Santwana Mukhopadhyay, “On the fundamental solutions of generalized thermoelasticity with three-phase-lags”, Journal of Thermal Stresses, 33, (2010) 1035-1048.
106.  Roushan Kumar and S. Mukhopadhyay, “A problem of an infinite medium with cylindrical cavity under two-temperature thermoelasticity with two relaxation parameters”, Proceeding of National Academy of Sciences, 80, (2010) 213-222.
107.  Roushan Kumar and Santwana Mukhopadhyay, ”Effects of three phase lags on generalized thermoelasticity for an infinite medium with a cylindrical cavity” , Journal of Thermal Stresses, 32, (2009) 1149-1165.
108.  Santwana Mukhopadhyay and Roushan Kumar, “Finite difference model for generalized thermoelastic interaction in an cylindrical annulus with temperature dependent physicalproperty,” Computational Methods in Science and Technology, 15, (2009) 1-8.
109.  S. 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 Sciences, India vol. 79(I), (2009) 135-140.
110. Santwana Mukhopadhyay and Roushan Kumar, “A Problem on thermoelastic interaction in an infinite medium with a cylindrical hole in generalized thermoelasticity III”, Journal of Thermal Stresses, 31, (2008) 452-472.
111.  Santwana Mukhopadhyay and Roushan Kumar, “A Study of Generalized Thermoelastic interaction in an unbounded medium with a spherical cavity, Computers and Mathematics with Applications, 56, (2008) 2329-2339.
112.  Santwana Mukhopadhyay and Roushan Kumar, “Thermoelastic interaction on two-temperature generalized thermoelasticity in an infinite medium with cylindrical cavity”, Journal of Thermal Stresses, 32, (2008) 341-360.
113.  Santwana Mukhopadhyay, “A problem on Thermoelastic interactions without energy dissipation in an unbounded body with a spherical cavity subjected to harmonically varying load Bulletin of Calcutta Mathematical Society, 99(3), (2007) 261-270.
114.  Santwana Mukhopadhyay, “State space approach for thermoelastic interactions without energy dissipation in an elastic half-space subjected to a ramp type heating of the bounding plane”, Indian Journal of Pure and Applied Mathematics, 37, 151-166., (2006).
115.  Santwana Mukhopadhyay, “Thermoelastic interactions without energy dissipation in an unbounded body with a spherical cavity subjected to harmonically varying temperature”, Mechanics Research Communications, (USA), 31 (2004) 81-89.
116.  Santwana Mukhopadhyay,” Thermo-elastic interactions in a transversely isotropic elastic medium with a cylindrical cavity subjected to ramp-type increase in boundary temperature or load”, Journal of Thermal Stresses, 25, (2002) 341-362.
117.  Santwana Mukhopadhyay, “Relaxation effects on plane wave propagation in a rotating thermo- visco-elastic medium,” Bulletin of Calcutta Mathematical Society, 94, (2002) 237-252.
118.  Santwana Mukhopadhyay, “Relaxation effects on thermally induced vibration in a transversely isotropic medium with a spherical cavity”, Proc. National Academy of Sciences, India, 72(A), III, 2002, 410-421.
119.  Santwana Mukhopadhyay and R.N. Mukherjee, “Thermoelastic interactions in a transversely isotropic cylinder subjected to ramp type increase in boundary temperature and load”, Indian Journal of Pure and Applied Mathematics, 33, (2002) 635-646.
120.  Santwana Mukhopadhyay, “Thermo-elastic interactions without energy dissipation in an unbounded medium with spherical cavity due to time dependent heating of the boundary”, Journal of Thermal Stresses, 25, (2002) 877-887.
121.  Santwana Mukhopadhyay, “Relaxation effects on thermoelastic interactions in a transversely isotropic medium with a spherical cavity”, IndianJournal of Pure and Applied Mathematics, 32, (2001),1809-1818.
122.  Santwana Mukhopadhyay, “Effects of thermal relaxations in an unbounded body with a spherical cavity subjected to periodic loading on the boundary”, Journal of Thermal Stresses, 23, (2000) 675-684.
123.  S.K. Roychoudhuri and Santwana Banerjee(Mukhopadhyay), “Effect of rotation and relaxation times on plane waves in generalized thermo-visco-elasticity”, International Journal of Mathematics and Mathematical Sciences, 23, (2000) 497-505.
124.  Santwana Mukhopadhyay, “Relaxation effects on thermally induced vibrations in generalized thermo-visco-elastic medium with a spherical cavity”, Journal of Thermal Stresses, 22, (1999) 829-844.
125.  S.K. Roychoudhuri and Santwana Banerjee (Mukhopadhyay), “Magneto-thermo-elastic interactions in an infinite visco-elastic cylinder of temperature rate dependent material subjected to a periodic loading”, International Journal of Engineering Sciences, 36, (1998) 635-643.
126.  S.K. Roychoudhuri and Santwana Banerjee (Mukhopadhyay), “Magneto-thermo-elastic interactions in an infinite isotropic elastic cylinder subjected to a periodic loading”, International Journal of Engineering Sciences, 35, (1997) 437-444.
127.  Santwana Banerjee (Mukhopadhyay) and S.K. Roychoudhuri, “A generalized thermo-visco-elastic problem of an infinitely extended thin plate containing a circular hole “, Journal of Thermal Stresses, 19, (1996) 465-480.
128.  Santwana Banerjee (Mukhopadhyay) and S.K. Roychoudhuri, “Magneto-thermoelastic waves induced by a thermal shock in a finitely conducting elastic half-space”, International Journal of Mathematics and Mathematical Sciences, 19, (1996) 131-134.
129.  S. Banerjee (Mukhopadhyay) and S.K. Roychoudhuri, “Spherically symmetric thermo-visco-elastic in a viscoelastic medium with a spherical cavity”, Computers and Mathematics with Applications, 30, (1995) 91-98.
130.  S.K. Roychoudhuri and Santwana Banerjee (Mukhopadhyay), “A note on the propagation of a pulse in elastic bars of finite length with randomly varying cross sections”, Indian Journal of Theoretical Physics, 42, (1994) 189-196.
131.  S.K. Roychoudhuri and Santwana Banerjee (Mukhopadhyay), “Note on elastic propagation in elastic bars of finite length with randomly and linearly varying Young’s modulus”, Indian Journal of Pure and Applied Mathematics (INSA), 24, (1993), 69-76.

• The project entitled "Studies of generalized Thermoelasticity and generalized magneto-Thermoelasticity in Anisotropic and Micropolar media" has been sanctioned by DST (Under Women Scientist Scheme) of Rs. 12,20,000.00 for a period of three years (2004-2007).
• The project entitled "Mathematical modelling on Thermo-mechanical coupling effects for functionally graded materials under non- Fourier Heat conduction" has been sanctioned by IIT(BHU) (Under Sprouting Grand for Faculty) of Rs. 1,96,000.00 for a period of one year (2014-2015).
• The project entitled "Investigation of size effects on vibration and thermoelastic damping in nano-electromechanical systems (NEMS) of piezoelectric materials" has been sanctioned by SERB, India under the MATRICS Scheme of Rs. 2,00,000.00 per year for a period of three year (2022-2025).

Ph.D.