Dr. Santan Kumar


Assistant Professor
Email:  santan[at]math[dot]nits[dot]ac[dot]in | ksantan[dot]ism[at]gmail[dot]com
Date of Joining: 09/03/2021
Academic/Industrial Experience: 6+ years
Scopus ID: 56043218700

Google Scholar: Click Here





  Homepage: Click Here





  • M.Sc. from IIT (ISM) Dhanbad
  • Ph.D. from IIT (ISM) Dhanbad


  • Elastodynamics
  • Wave Propagation
  • Theoretical Seismology
  • Mathematical Modeling
  • Computational Mechanics
  • Micro-Continuum Modeling
  • Solid and Structural Mechanics
  • Smart Materials and Structures


  • Assistant Professor, Department of Mathematics, National Institute of Technology Silchar, Assam, India (March 2021-Till date). Nature of Work: Teaching Cum Research

  • Dr. D. S. Kothari Postdoctoral Fellow, Department of Aerospace Engineering, Indian Institute of Science, Bengaluru, India (May 2018-March 2021). Nature of Work: Research

  • Postdoctoral Research Fellow, Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, Lodz, Poland (April 2018). Nature of Work: Research

  • Research Associate, Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India (August 2017-March 2018). Nature of Work: Teaching Cum Research

  • 2017: Ph.D. in Mathematical Modeling of Certain Elastodynamic Problems in Layered Media, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India

  • 2011: Master of Science in Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, India

  • 2009: Bachelor of Science in Mathematics (Honours), Ranchi University, Ranchi, Jharkhand, India

  • 2006: All India Senior School Certificate Examination (Class XII), CBSE, DAV Kapildev Public School, Ranchi, Jharkhand, India

  • 2004: All India Secondary School Examination (Class X), CBSE, M B DAV Public School, Lohardaga, Jharkhand, India


  • MA-101: Mathematics-I
  • MA-102: Mathematics-II
  • MA-201: Mathematics-III
  • Classical Mechanics
  • Computer Programming
  • Object Oriented Programming
  • Discrete Mathematical Structure


  • Member of Examination Cell, NIT Silchar (November, 2023-Till date).
  • Assistant Warden, Aryabhatta Hostel (PG Hostel), NIT Silchar (April, 2024-Till date).
  • Associate Warden, Genesis (Boys Hostel-1), NIT Silchar (January, 2023-March, 2024).  
  • External Examiner for PG (Mathematics) Examination, Assam University Silchar (November, 2023). 
  • Member Secretary of Departmental Ph.D. Monitoring Committee (DPMC), Department of Mathematics, NIT Silchar (March, 2024-Till date).  
  • External Member of Departmental Undergraduate Program Committee (DUPC), Department of Physics, NIT Silchar (March, 2024-Till date).  


  • Awarded Dr. D. S. Kothari Postdoctoral Fellowship of the UGC (May 2018-March 2021).
  • Awarded TUL Postdoctoral Research Fellowship (April 2018).
  • Awarded CSIR Research Associateship (August 2017-March 2018).
  • Awarded IIT (ISM) Senior Research Fellowship in PhD (July 2015-July 2017).
  • Awarded IIT (ISM) Junior Research Fellowship in PhD (July 2013-June 2015).
  • Awarded International Travel Support under the ITS (Young Scientist) scheme by the Science and Engineering Research Board, Department of Science & Technology, Government of India for participating in 40th Solid Mechanics Conference held during Aug 29-Sept 2, 2016 at Warsaw, Poland.
  • Awarded IMS Prize for the year 2014 by the Indian Mathematical Society for presenting the best research paper at the 80th Annual Conference of the Indian Mathematical Society.
  • Awarded Merit Cum Means Scholarship in MSc (July 2009-June 2011).

    Membership in Professional Societies

  • Life member of the Indian Mathematical Society (IMS), Pune, India since 2014 (Membership No.: L/2014/112).

  • Life member of the Indian Science Congress Association (ISCA), Kolkata, India since 2015 (Membership No.: L27115).

  • Life member of the Society of Applied Mathematics (SAM), Indian Institute of Technology (Indian School of Mines), Dhanbad, India since 2015 (Membership No.: LM/2014-2015/64).

  • Life member of the Indian Society of Theoretical and Applied Mechanics (ISTAM), Kharagpur, India since 2016 (Membership No.: L/1059).

  • Life member of the International Association of Engineers (IAENG), Hong Kong since 2016 (Membership No.: 164267).

  • Outreach member of the Society for Industrial and Applied Mathematics (SIAM), Philadelphia, USA since 2018 (Membership No.: 020832766).

  • Member of the European Mechanics Society (EUROMECH) since 2020 (Membership No.: 205677).

  • Life member of the Institute of Smart Structures and Systems (ISSS) since 2021 (Membership No.: LM773).

  • Affiliate Member of the American Mathematical Society (AMS) since 2024 (Membership No. KMSNXBZ).

  • Student member of the Society for Industrial and Applied Mathematics (SIAM), Philadelphia, USA from January, 2016 to December, 2017 (Membership No.: 020832766).

    Reviewer of International Journals of Repute

  • Meccanica (Springer), Italy.
  • Physica Scripta (IOP Publishing), UK.
  • Ecological Modelling (Elsevier), Netherlands.
  • Mathematics and Mechanics of Solids (Sage), USA.
  • Engineering Fracture Mechanics (Elsevier), England.
  • Materials Research Express (IOP Publishing), England.
  • Journal of Engineering Mathematics (Springer), Netherlands.
  • Waves in Random and Complex Media, (Taylor & Francis), UK.
  • Sensors (Multidisciplinary Digital Publishing Institute), Switzerland.
  • European Journal of Mechanics-A/Solids (Elsevier), Netherlands.    
  • Journal of Intelligent Material Systems and Structures (Sage), England.
  • Applied Sciences (Multidisciplinary Digital Publishing Institute), Switzerland.
  • Journal of Engineering Mechanics (American Society of Civil Engineers), USA.
  • Mechanics of Advanced Materials and Structures (Taylor & Francis), England.
  • International Journal of Geomechanics (American Society of Civil Engineers), USA.
  • International Journal for Numerical and Analytical Methods in Geomechanics (Wiley), England.
  • Journal of Marine Science and Engineering (Multidisciplinary Digital Publishing Institute), Switzerland.


  • Kumar, S., Hasanuzzaman, M., & Kumari, R. (2024). Transverse Surface Wave in Non-planar Layered Nearly Incompressible Elastic Structure Having Imperfect Contact. European Journal of Mechanics-A/Solids (Elsevier), 106, 105324, doi: 10.1016/j.euromechsol.2024.105324.       
  • Kumari, R., Singh, A. K., Kumar, S., & Guha, S. (2024). Transmission of Lamb wave in a micro-mechanically piezoelectric fiber-reinforced composite plate. Wave Motion (Elsevier), 128, 103307, doi: 10.1016/j.wavemoti.2024.103307.     
  • Yadav, R. P., R., & Kumar, S. (2024). Analytical modelling and simulations of dynamic mode-III fracture in pre-stressed dry sandy elastic continuum. Mechanics Based Design of Structures and Machines (Taylor & Francis), doi: 10.1080/15397734.2024.2354931. 
  • Kumar, S., Kumari, R., & Singh, A. K. (2023). Love wave on a flexoelectric piezoelectric-viscoelastic stratified structure with dielectrically conducting imperfect interface. The Journal of the Acoustical Society of America (AIP)154(6), 3615-3626, doi: 10.1121/10.0022572.
  • Kumar, S., Shivashankar, P., & Gopalakrishnan, S. (2020). A half a decade timeline of shape memory alloys in modeling and applications. ISSS Journal of Micro and Smart Systems (Springer), 9(1), 1-32, doi: 10.1007/s41683-020-00050-5.
  • Singh, A. K., Kumar, S., & Kumari, R. (2018). Impact of interfacial imperfection on transverse wave in a functionally graded piezoelectric material structure with corrugated boundaries. The European Physical Journal Plus (Springer), 133(3), 120-134, doi: 10.1140/epjp/i2018-11935-x.
  • Singh, A. K., Parween, Z., Kumar, S., & Chattopadhyay, A. (2018). Propagation characteristics of transverse surface wave in a heterogeneous layer cladded with a piezoelectric stratum and an isotropic substrate. Journal of Intelligent Material Systems and Structures (Sage), 29(4), 636-652, doi: 10.1177/1045389X17721025.
  • Singh, A. K., Yadav, R. P., Kumar, S., & Chattopadhyay, A. (2017). Shear wave in a pre-stressed poroelastic medium diffracted by a rigid strip. Journal of Sound and Vibration (Elsevier), 407, 16-31, doi: 10.1016/j.jsv.2017.06.031.
  • Singh, A. K., Negi, A., Verma, A. K., & Kumar, S. (2017). Analysis of stresses induced due to a moving load on irregular initially stressed heterogeneous viscoelastic rock medium. Journal of Engineering Mechanics (ASCE), 143(9), 04017096, doi: 10.1061/(ASCE)EM.1943-7889.0001307.
  • Singh, A. K., Kumar, S., Dharmender, & Mahto, S. (2017). Influence of rectangular and parabolic irregularities on the propagation behavior of transverse wave in a piezoelectric layer: A comparative approach. Multidiscipline Modeling in Materials and Structures (Emerald), 13(2), 188-216, doi: 10.1108/MMMS-08-2016-0039.
  • Kumari, N., Chattopadhyay, A., Kumar, S., & Singh, A. K. (2017). Propagation of SH-waves in two anisotropic layers bonded to an isotropic half-space under gravity. Waves in Random and Complex Media (Taylor & Francis), 27(2), 195-212, doi: 10.1080/17455030.2016.1212176.
  • Singh, A. K., Parween, Z., & Kumar, S. (2016). Love-type wave propagation in a corrugated piezoelectric structure. Journal of Intelligent Material Systems and Structures (Sage), 27(19), 2616-2632, doi: 10.1177/1045389X16635843.
  • Singh, A. K., Yadav, R. P., Kumar, S., & Chattopadhyay, A. (2016). Propagation of crack in a pre-stressed inhomogeneous poroelastic medium influenced by shear wave. Engineering Fracture Mechanics (Elsevier), 154, 191-206, doi: 10.1016/j.engfracmech.2015.12.024.
  • Singh, A. K., Kumar, S., & Chattopadhyay, A. (2016). Propagation of torsional waves in a fiber composite layer lying over an initially stressed viscoelastic half-space. International Journal of Geomechanics (ASCE), 16(1), 04015014, doi: 10.1061/(ASCE)GM.1943-5622.0000469.
  • Singh, A. K., Kumar, S., & Chattopadhyay, A. (2016). Effect of smooth moving punch in an initially stressed monoclinic magnetoelastic crystalline medium due to shear wave propagation. Journal of Vibration and Control (Sage), 22(11), 2719-2730, doi: 10.1177/1077546314549588.
  • Singh, A. K., Das, A., Kumar, S., & Chattopadhyay, A. (2015). Influence of corrugated boundary surfaces, reinforcement, hydrostatic stress, heterogeneity and anisotropy on Love-type wave propagation. Meccanica (Springer), 50(12), 2977-2994, doi: 10.1007/s11012-015-0172-6.
  • Singh, A. K., Kumar, S., & Chattopadhyay, A. (2015). Love-type wave propagation in a piezoelectric structure with irregularity. International Journal of Engineering Science (Elsevier), 89, 35-60, doi: 10.1016/j.ijengsci.2014.11.008.
  • Singh, A. K., Kumar, S., & Chattopadhyay, A. (2014). Effect of irregularity and heterogeneity on the stresses produced due to a normal moving load on a rough monoclinic half-space. Meccanica (Springer), 49(12), 2861-2878, doi:10.1007/s11012-014-0033-8. 


  • Shivashankar, P., Kumar, S., & Gopalakrishnan, S. (2020). Design, development and effectiveness of d31-mode and d33-mode multilayered surface bondable piezoelectric actuators, for actuation of large and stiff structures. The American Institute of Aeronautics and Astronautics (AIAA) SciTech 2020 Forum, doi: 10.2514/6.2020-1767.


  • Granted a NBHM research project entitled “Elastodynamic Waves in Complex Stratified Structures: A Mathematical Approach” funded by the National Board for Higher Mathematics, Department of Atomic Energy, Government of India under Project No. 02011/53/2023NBHM(R.P)/R&D-II/16483.   
  • Worked as a Dr. D. S. Kothari Postdoctoral Fellow on UGC Research Project entitled “Bio-inspired Suture Waveguide Structures for Enhanced Damping under High Frequency Impact Loading”.
  • Worked as a Research Associate on CSIR Research Project entitled “Study of Wave Propagation Aspects in Piezoelectric, Piezomagnetic and Functionally Graded Piezoelectric Composite Structures”.
  • Worked as a Postgraduate Student on M.Sc. Project entitled Propagation of SH-Wave in Inhomogeneous Media”.