- Teaching
- Project
- Awards/Recognition
- Administrative Experience
- Research Guidance
- Publications
- Guided M.Tech. students
- Research Topic

**Teaching:**

Mathematics-I (MA-101), Mathematical methods(MA-203), Numerical Techniques(MA-201), Ordinary differential equations (MA-302), Computer programming and Applications

**Courses taught:**Computer programming, Data Structures, Design & Analysis of Algorithms, Theory of computation, Computer Graphics, Theory of Elasticity.

**Sponsored Projects:**

Period |
Sponsoring Organization |
Title of the Project |
Grant (Rs. Lakh) |
PI or Co-PI |

2004-2007 | DST (Under Women Scientist Scheme) | Studies of generalized Thermoelasticity and generalized magneto-Thermoelasticity in Anisotropic and Micropolar media | Rs. 12.2 Lakhs | P.I. |

2014-2015 | IIT(BHU) (Under Sprouting Grand for Faculty) | Mathematical modelling on Thermo-mechanical coupling effects for functionally graded materials under non-Fourier Heat conduction | Rs. 1.96 Lakhs | P.I. |

**Professional Recognition/ Award/ Prize/ Certificate, Fellowship:**

Name of Award |
Year |

National Scholarship (based on merit in Secondary and Higher Secondary examination) | (1981-88) |

Burdwan University Gold Medal for . (Mathematics)First Class First position in M.Sc |
1990 |

P.N. Banerjee Medal for highest Marks in M.Sc |
1990 |

J.N. Panja Medal for highest Marks in M.Sc |
1990 |

P.N. Roy Scholarship for highest marks in Mathematics (1990) |
1990 |

Burdwan University Fellowship |
(Jan.91-May’91) |

NET (CSIR) Fellowship (JRF & SRF) |
1991-1996 |

CSIR-Research Associate-ship |
1999-2004 |

*Associate Dean (Core Courses), (Academic Affairs), IIT(BHU) Since June 2019*- Chairperson, Institute Core Course Monitoring Committee, IIT(BHU), Since 2018
- Chairperson, Internal Complaint Committee, IIT(BHU), Since Sept 2017
- Administrative Warden of two Girls Hostels, IIT(BHU), since 2015 and 2017
- Member of IT/IIT-Guest House committee, since 2010
- Member of Anti-ragging vigilance committee, since 2014
- Institute Purchase committee of Computer Lab for Part-I students, IT-BHU/IIT(BHU), 2005-2006, 2013-2014
- Member of disciplinary committee , IT-BHU, 2010-11
- Member of Senate library committee, IIT(BHU), 2012-14
- Member of Committee of Child-care leave for faculty /non-faculty of IIT(BHU), 2012-2014.

**Research Guidance experience**

**Doctoral Level (PhD): ****Seven (Awarded) + Seven (continuing).**

Name of the students |
Status |
Title of Thesis |

Mr. Roushan Kumar | Awarded (2010) | Study of Some Problems on Generalized Thermoelasticity and Two-temperature Thermoelasticity |

Mr. Rajesh Prasad | Awarded (2012) | Some Studies on Generalized Thermoelasticity and Crack Problems |

Ms. Shweta Kothari | Awarded (2013) | Some Aspects of Generalized Thermoelasticity and Thermoelastic Diffusion |

Ms. Rakhi Tiwari | Awarded (2017) | Modelling on Advanced Thermoelasticity and Magneto-thermoelasticity |

Ms. Bharti Kumari | Awarded (2017) | Mathematical Analysis of some Non-Fourier Heat conduction models for thermo-mechanical and Bio-heat transfer problems |

Mr. Anil Kumar | Awarded (2018) | Modelling on Coupled thermo-mechanics for homogeneous and non-homogeneous medium |

Mr. Shashikant | Awarded (2018) | Investigations on thermo-mechanical coupling effects |

Mr. Om Namha Shivay |
2016- Continuing | “Mathematical Modelling on heat transport in Functionally graded material”. |

Ms. Manushi Gupta | Continuing since 2016 | Mathematical modelling on coupled thermoelasticity with thermomass |

Mr. Harendra Kumar | Continuing since 2017 | On thermoelastic damping in micromechanical resonators |

Mr. Robin Singh | Continuing since 2018 | Modelling on thermoelastic crack problems |

Mr Bhagwan Singh | Continuing since 2018 | Modelling |

Ms Komal | Continuing since 2019 | Study on Non-Fourier heat conduction models |

Mr Arzoo Jamal | Continuing since 2019 | Non linear Dynamics |

**Mentoring Post-Doctoral Level : 01**

Dr. Anirban Lakshman-**NPDF**** post doctoral** fellow under SERB , since May 2017.

**List of Publications**

- 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, (2021).
- Robin Vikram Singh and Santwana Mukhopadhyay, “Relaxation effects on thermoelastic interactions for time-dependent moving heat source under a recent model of thermoelasticity”, ZAMP, (2020).
- Bhagwan Singh and Santwana Mukhopadhyay, “Galerkin-type solution for the Moore –Gibson-Thompson thermoelasticity theory” accepted, Acta Mechanica (2020)..
- Komal Jangid and Santwana Mukhopadhyay, “A domain of influence theorem under MGT thermoelasticity theory”, Mathematics and Mechanics of Solids . DOI: doi.org/10.1177/1081286520946820, (2020).
- 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,. DOI: doi.org/10.1007/s00707-020-02833-1 (2020).
- 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).
- 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).
- 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, 1-18, DOI: 10.1080/17455030.2020.1757178 (2020).
- 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).
- 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).
- 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).
- Om Namha Shivay, and Santwana Mukhopadhyay, “On the temperature-rate dependent two-temperature thermoelasticity theory”, Journal of Heat Transfer 142(2), (2020).
- 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).
- 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).
- 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).
- 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).
- 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).
- 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).
- Manushi Gupta and Santwana Mukhopadhyay, “A study on generalized thermoelasticity theory based on non-local heat conduction model with dual-phase-lag”, J. Thermal Stresses, (2019).
- Manushi Gupta and Santwana Mukhopadhyay, “On linear theory of thermoelasticity for an anisotropic medium under a recent exact heat conduction model”, In Mathematics and Computing, vol.834, D. Ghosh, D. Giri, R. Mohapatra, E. Savas, K. Sakurai and L.P. Singh, Eds. Communications in Computer Science and Information Science, pp. 309-324, (2018). DOI: 10.1007/978-981-13-0023-3_29.
- Anil Kumar, Om Namha Shivay and Santwana Mukhopadhyay, “Infinite Speed Behavior of Two-Temperature Green Lindsay Thermoelasticity Theory under Temperature Dependent Thermal Conductivity”, Accepted, ZAMP, 70(1) 26, (2018).
- 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, DOI: 10.1177/1081286518808834 (2018).
- 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, (2018) .
- 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,Vol. 13(2) 863–891 (2018).
- 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).
- Shashi Kant, Manushi Gupta, Om Namah Shivay, and Santwana Mukhopadhyay: “An Investigation on a two dimensional problem of Mode-I crack in a thermoelastic medium”, ZAMP, 69(2) 21, DOI: https://doi.org/10.1007/s00033-018-0914-0 (2018).
- 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).
- 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).
- 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, ( 2018).
- 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).
- Anil Kumar and Santwana Mukhopadhyay, “Investigation on the effects of temperature dependency of material parameters on a thermoelastic loading problem”, ZAMP, (Springer) 68: 98. DOI: https://doi.org/10.1007/s00033-017-0843-3 (2017)
- 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 (Elsevier), 46 492-518 (2017).
- Rakhi Tiwari and S. Mukhopadhyay, “On electro-magneto-thermoelastic plane waves under Green- Naghdi theory of thermoelasticity-II”, Journal of Thermal Stresses40(8) 1040-1062 (2017).
- 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).
- 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).
- 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, (2017) Doi: https://doi.org/10.1177/1081286517692020.
- Bharti Kumari and Santwana Mukhopadhyay, “A Domain of Influence Theorem for Thermoelasticity without Energy Dissipation”, Mathematics and Mechanics of Solids, (in press), 22(11) 2156-2164 (2017).
- 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).
- 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).
- 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).
- S. Mukhopadhyay, R. Picard, S. Trostorff, M. Waurick , “A Note on a Two-Temperature Model in Linear Thermo-Elasticity”, Mathematics and Mechanics of Solids, 22(5) 905-918 (2017).
- 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).
- 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).
- Anil Kumar and Santwana Mukhopadhyay, “An Investigation on ThermoelasticInteractions under an Exact Heat Conduction Model with a Delay term”, Journal of Thermal Stresses,(in press), 39(8) 1002-1016 (2016).
- 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, (in press), 39(8) 991-1001 (2016).
- 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).
- 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).
- Shweta Semwal and Santwana Mukhopadhyay, “Boundary integral equation formulation for generalized thermoelastic diffusion-Analytical aspects”, Applied Mathematical Modelling, 38 (2014) 3523-3537.
- 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.
- 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.
- Roushan Kumar and Santwana Mukhopadhyay, “Dual phase-lag thermoelasticity”, Encyclopedia of Thermal Stresses, RB Hetnarski, ed., Springer, Dordrecht, The Netherlands, 1003-1019 (2014)
- 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.
- 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.
- 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.
- Shweta Kothari and Santwana Mukhopadhyay, ''Some theorems in Linear Thermoelasticity with dula phase-lags for an anisotropic media'', Journal of Thermal Stresses, 36, (2013) 985-1000.
- 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.
- 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.
- 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.
- 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.
- 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).
- 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.
- 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.
- 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, Published online-August, 2012, doi: 10.1177/1081286512446829.
- Roushan Kumar, Shweta Kothari and Santwana Mukhopadhyay, “Variational and Reciprocal principles in generalized thermoelastic diffusion”, ActaMechanica, 217, (2011) 287-296.
- Roushan Kumar, Rajesh Prasad and Santwana Mukhopadhyay, “Some theorems on two temperature generalized thermoelasticity”, Archive of Applied Mechanics, 81, (2011) 1031-1040.
- 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”, Acta Mechanica, 217, (2011) 243-256.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Santwana Mukhopadhyay and Roushan Kumar, “State space approach to thermoelastic interactions in generalized thermoelasticity type III”,Archives of Applied Mechanics, 80, (2010) 869-881.
- 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.
- Santwana Mukhopadhyay and Roushan Kumar, “Analysis of phase-lag effects on wave propagation in a thick plate under axi-symmetric temperature distribution”, Acta Mechanica, 210, (2010) 331-344.
- Roushan Kumar, Rajesh Prasad and Santwana Mukhopadhyay, “Variational and Reciprocal principles in two-temperature generalized thermoelasticity”, Journal of Thermal Stresses, 33, (2010) 161–171.
- Roushan Kumar and Santwana Mukhopadhyay, Effects of phase- lags on plane harmonic wave propagation, Computational Methods in Science and Technology, 16, (2010) 19-28.
- Santwana Mukhopadhyay, Shweta Kothari and Roushan Kumar, “On the representation of solutions for the theory of generalized thermoelasticity with three phase lags”, Acta Mechanica, 214, (2010) 305-314.
- 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.
- 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.
- 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.
- 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.
- Santwana Mukhopadhyay and Roushan Kumar, “Finite difference model for generalized thermoelastic interaction in an cylindrical annulus with temperature dependent physical property,” Computational Methods in Science and Technology, 15, (2009) 1-8.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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).
- 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.
- 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.
- Santwana Mukhopadhyay, “Relaxation effects on plane wave propagation in a rotating thermo-visco-elastic medium,” Bulletin of Calcutta Mathematical Society, 94, (2002) 237-252.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 7 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.
- 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.
- 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.
- SantwanaBanerjee (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.
- 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.
- 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.
- 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.

#### · __Conference Publications__

__Conference Publications__

- Santwana Mukhopadhyay and R. N. Mukherjee, “A problem on thermoelastic interaction in an infinitely long transversely isotropic cylinder”,
*Recent trends in Mathematical Sciences*, (eds. J.C.Misra and S.B. Sinha), Narosa Publishing House, (2001), pp:136-148. - R. Prasad, R. Kumar, S. Dasand S. Mukhopadhyay , A Variationaltheorem and reciprocal principle in linear theory ofthermoelasticity with dual phase lags
*” , Proceedings of*National Conference on Mathematical Modeling and Simulation, IT- BHU, March 25-27, 2011.

**Article : Conference Reporting**

** 1.**** J. C. Misra and Santwana Mukhopadhyay, Meeting report on “Challenges and recent advances in Mathematical Sciences”, Current Science, Vol. 81, No. 2, July 2001, pp 149-150.**

S.No |
Name of the students |
Year of completion or in Progress |
Title of Thesis |

1 |
Mr. Lalit Ramesh Sirsikar | 2010 | A new approach to understanding Blossoming, Bezier Curves, B-Spline Curves and their generalization to surfaces and volumes |

2 |
Mr. Rahul Golwalkar | 2011 | HTTP Server Scaling by using BYTECODE instead of traditional interpreted language |

3 | Mr. Anugrah Agrawal | 2011 | Multiprocessor Scheduling of Persistent Jobs |

4 | Mr. Abhishek Moondra | 2012 | 3D-Modelling using Bezier curves in Visual C++ using OpenGL (API) |

5 | Mr. Ankur Joshi | 2012 | Warping text on Bezier curves |

6 | Mr. Omendra Pratap Singh | 2012 | Integrating Atlas-LB with a third party workflow based load balancer provisioning system |

7 | Mr. Sahil Midha | 2013 | Fractal Image compression and Terrain generation |

8 | Mr. Surya Singh Hada | 2014 | Algorithms on Image compression and their implantation |

9 | Ms. Bansari Sunil Shah | 2015 | On Formal Languages |

10 | Mr. Shivashish Kumar | 2015 | Fractals on Image compression |

11 | Mr. Rupesh Naina | 2016 | Graph Partitioning Algorithm |

12 | Mr. Subrat Singh | 2016 | Fuzzy Search Algorithm |

13 | Ms. Samiksha Gupta | 2017 -Continuing | |

14 | Mr. Dushyant Kumar | 2017 -Continuing |

It has been realized in recent years that Fourier law is applicable only to the problems that involve large spatial dimension and when the focus is on long time behaviour. However, it yields unacceptable results in situations involving temperature near absolute zero, extreme thermal gradients, high heat flux conduction and short time behaviour, such as laser-material interactions. Hence, intense efforts are put forth since 1950s to better understand the limitations of Fourier law and for more accurate predictions of temperature. Accordingly, some non-Fourier heat conduction models accounting for finite speed of heat propagation are proposed and they have became the centre of active research for last few decades. However, it is believed that there are mathematical/physical issues and challenges with these Non-Fourier heat conduction models. Heat conduction equation plays a very important role in coupled thermo-mechanical and bio-thermo-mechanical problems. Mathematical modelling on these problems is worth pursuing in order to understand the effects of non-Fourier heat conduction models on coupled thermo-mechanical interactions.