अपनी प्राथमिकता निर्धारित करें
फ़ॉन्ट स्केलिंग
अप्राप्ति
पृष्ठ अनुमापन
अप्राप्ति
रंग समायोजन
भा.प्रौ.सं.कानपुर
Basant Lal Sharma

बसंत लाल शर्मा

PhD (Cornell University)

Associate Professor, Department of Mechanical Engineering

शोध करना दिलचस्पी

Continuum Mechanics and Thermodynamics, Lattice Dynamics, Dislocations, Brittle Fracture, Solid-Solid Phase transformation, Wave Scattering, Nonlinear Elasticity.
Geometric Algorithms, Symplectic Algorithms, Structure of Hamiltonian Systems, Calculus of variations, Toeplitz Operator Theory, Difference equations, Fourier Analysis, Special Functions.

Research Area

Complex Fluids and Flow
Mechanical Behavior of Materials
Molecular Simulations
Nanomaterials and Nanotechnology
Solid Mechanics and Design
Structural Engineering
Surface and Interface

विशेषज्ञता

Analysis of theoretical aspects of defects (dislocation, phase boundary, and crack) in crystals using Hamiltonian mechanics (continuum elastodynamics and lattice dynamics) and analytical techniques in applied mathematics.

शिक्षा

PhD (in Mechanics with minor in pure Maths, Cornell University, 2004)

B. Tech. (ME, IIT Bombay , 1999)

शिक्षण क्षेत्र

Applications of mathematics and theories in mechanics

“Mechanics of Solids”,“Dynamics”,“Advanced Mechanics of Solids”,“Introduction to Solid Mechan- ics”,“Introduction to Continuum Mechanics”,“Mathematics for Engineers”,“Wave propagation in solids”,“Dynamic Fracture Mechanics”,“Difference Equations for Engineers”,“Calculus of Varia- tions”,“Hamiltonian Mechanics & Symplectic Algorithms”,“Theory of Martensitic Phase Transfor- mation”,“Mechanics of Biological Membranes”

पिछला कार्य अनुभव

Postdoctoral Research Associate (Oct ’04 – April ’05) Theoretical & Applied Mechanics Ithaca, NY, USA Research on Kuramoto Model of Coupled Oscillators (Strogatz, SH) Postdoctoral Research Fellow (Oct ’05 – Sept ’06) Laboratoire de Mechanique des Solides Palaiseau, France Research concerning development of a continuum based theory behind nucleation and propagation of defects in solid matter (Truskinovsky, L.)
Postdoctoral Research Fellow (Oct ’05 – Sept ’06)Laboratoire de Mechanique des Solides Palaiseau, FranceResearch concerning development of a continuum based theory behind nucleation and propagation of defects in solid matter (Truskinovsky, L.)

चयनित प्रकाशन

Das, D, Sharma BL, "Equilibrium of a circular von-Kármán plate bonded with a spatial Kirchhoff rod”, International Journal of Solids and Structures, Vol. , 2025,  (link) (preprint) DOI [42 pages, Q1]

Sharma BL, "On linear waveguides of zigzag honeycomb lattice strips”Waves in Random and Complex MediaVolume , May 2017, Pages - (link) (preprint) DOI 10.1080/17455030.2017.1331061 [43 pages]

Sharma BL, "On linear waveguides of square and triangular lattice strips: an application of Chebyshev polynomials”SadhanaVolume , June 2017, Pages - (link) (preprint) DOI 10.1007/s12046-017-0646-4 [27 pages]

Sharma BL, "Continuum limit of the discrete Sommerfeld problems on square lattice”SadhanaVolume , Apr 2017, Pages - (link) (preprint) DOI 10.1007/s12046-017-0636-6 [16 pages]

(--Detailed list--)

Sharma BL, "Scattering of surface waves by inhomogeneities in crystalline structures”, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 480 (2286), 2024,  (link) (preprint) DOI 10.1098/rspa.2023.0683 [29 pages, Q1]

Sharma BL, Perroti L, Dharmavaram S,  "Computational Modeling of Coupled Interactions of Fluid Membranes with Embedded Filaments”, Computer Methods in Applied Mechanics and Engineering , Volume 417, Part A, 1 December 2023, 116441,  (link) (preprint) DOI 10.1016/j.cma.2023.116441 [18 pages, Q1]

Sharma BL, "Surface wave across crack-tip in a lattice model”, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol 380:20210396, 2022 (link) (preprint) DOI 10.1098/rsta.2021.0396  [14 pages, Q1]

Sharma BL, "A dislocation dipole in one dimensional lattice model”, Philosophical Magazine, Vol. , 2021,  (link) (preprint) DOI 10.1080/14786435.2021.1964703 [44 pages, Q1]

Sharma BL  and  Basak N, "Null Lagrangians in Cosserat elasticity”, Journal of Elasticity, Vol. , 2021,  (link) (preprint) DOI 10.1007/s10659-021-09818-8 [22 pages, Q2]

Sharma BL, "Electronic transport across a junction between armchair graphene nanotube and zigzag nanoribbon”, The European physical journal B, May 2018, 91:84 (link) (preprint) DOI 10.1140/epjb/e2018-80647-2 [25 pages, Q2]

Sharma BL, "On energy balance and the structure of radiated waves in kinetics of crystalline defects”, Journal of the Mechanics and Physics of Solids, Vol. 96, Nov 2016, 88-120 (link) (preprint) DOI 10.1016/j.jmps.2016.05.036 [33 pages, Q1]

Sharma BL, "Edge diffraction on triangular and hexagonal lattices: Existence, uniqueness, and finite section”, Wave Motion, Vol. 65, Sep 2016, 55-78 (link) (preprint) DOI 10.1016/j.wavemoti.2016.04.005 [24 pages, Q2]

Sharma BL, "Near-tip field for diffraction on square lattice by rigid constraint”, Zeitschrift für angewandte Mathematik und Physik, Oct 2015, Vol. 66, Issue 5, 2719–2740 (link) (preprint) DOI 10.1007/s00033-015-0508-z [21 pages, Q1]

Sharma BL, "Near-tip field for diffraction on square lattice by crack”, SIAM Journal on Applied Mathematics, 75(4), 1915-1940 Aug 2015 (link) (preprint) DOI 10.1137/15M1010646 [26 pages, Q1]

Sharma BL, "Diffraction of waves on square lattice by semi-infinite crack”, SIAM Journal on Applied Mathematics, 75(3), 1171-1192 Jun 2015 (link) (preprint) DOI 10.1137/140985093 [22 pages, Q1]

पुरस्कार एवं फैलोशिप

SIAM Student Travel Award for the SIAM Conference on Nonlinear Waves and Coherent Structures, 2004; SIAM Student Travel Award for the SIAM Conference on Mathematical Aspects of Materials Science, 2004

State Merit Award for P.E.T. 1995 distributed by the state Governor, MP, India, 1996; All India Talent Search Award'93 and Scholarship distributed by the Prime Minister of India, 1993 – 94; National Talent Search Scholarship, 1992 Merit Scholarship for Highest Marks, 1990 – 92

Jan-Feb 2023: Simons fellow at Isaac Newton Institute for Mathematical Sciences (INI), Cambridge.

May 2016: Nomination for C.N.R. Rao award at IITK. Director’s letter for excellence in teaching (SE394 in the 2008-I semester)
EGIDE Fellowship '05-'06, Ecole Polytechnique, Palaiseau, France
SIAM Student Travel Award for the SIAM Conference on Nonlinear Waves and Coherent Structures, 2004; SIAM Student Travel Award for the SIAM Conference on Mathematical Aspects of Materials Science, 2004
State Merit Award for P.E.T. 1995 distributed by the state Governor, MP, India, 1996; All India Talent Search Award'93 and Scholarship distributed by the Prime Minister of India, 1993 – 94; National Talent Search Scholarship, 1992 Merit Scholarship for Highest Marks, 1990 – 92

यूजी/पीजी पाठ्यक्रम विकसित

ME624 “Calculus of Variations” ME682 “Difference Equations for Engineers” ME726 “Hamiltonian Mechanics & Symplectic Algorithms” ME698 “Theory of Martensitic Phase Transformation”

पीएचडी पर्यवेक्षण

Das, D, “Certain instabilities arising due to low dimensional aspects of three dimensional theories of elasticity”, Since Aug 2018, IIT Kanpur

Maurya, G, “On some problems involving multiple scattering due to edges”, Dec 2018, IIT Kanpur

Short courses

(1) Oct’25: Invited short course (weeklong series of lectures) “Towards understanding wave scat- tering on ¿ lattices: direct and inverse problems”. at Department of Mathematics,IIT Ropar, India. (2) Mar ’25: Invited short course (12 lectures of 1 hr 15 min each) ‘Applications of local bifurcation theory in mechanics’ during the period 21 March-28 March 2025 at Mechanical Engineering, IIT Gandhi Nagar, India. (3) May’19: Invited weeklong series of lectures “Waves on lattices: case of scattering due to crack on square lattice”. Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Gdansk, Poland.

Talks

  • Apr 2015: "Dislocation kinetics in lattice models" Invited talk in Pravartana'15, April 25-27, 2015, Indian Institute of Technology Kanpur, Kanpur, U. P., India,
  • Apr 2015: "Scattering of waves by line defects on two dimensional lattices" Invited talk in Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur, U. P., India,
  • Feb 2015: "Fourier Series" Invited talk in "Mechanics School @ IITK" under the TEQIP program of the Technology Knowledge Incubation Cell, 20-24 February, 2015, Indian Institute of Technology Kanpur, Kanpur, U. P., India,
  • Oct 2014: "Discrete Sommerfeld Problems" Invited talk in Mathematics Colloquium, Department of Mathematics, Indian Institute of Technology Kanpur, Kanpur, U. P., India,
  • Mar 2011: "Liouville-Arnold Theorem" Invited talk in Analysis Seminar of Department of Mathematics, Indian Institute of Technology Kanpur, Kanpur, U. P., India,
  • Oct 2009: "On Nonlinear Elastostatics" Invited talk in Analysis Seminar of Department of Mathematics, Indian Institute of Technology Kanpur, Kanpur, U. P., India,
  • Oct 2007: "On a hypothesis concerning slowly moving steps along a phase boundary" Invited talk in Indian Institute of Technology Delhi, New Delhi, Delhi, India,
  • Mar 2007: "On Fracture in a Bar" In workshop on Mechanics of Interaction, Impacts and Separation of Solids, 2nd - 4th March 2007, Indian Institute of Technology Kanpur, Kanpur, U. P., India,
  • Nov 2006: "Fast Motion of Dislocation in a Lattice Model" Invited talk in Indian Institute of Technology Kanpur, Kanpur, U. P., India,
  • Mar 2006: "Kinetics of a Dislocation: Discrete Models" Invited talk in Laboratoire de Mechanique des Solides, Ecole Polytechnique, Palaiseau, France,
  • Nov 2005: "Kinetics of a Dislocation: Continuum Models" Invited talk in Laboratoire de Mechanique des Solides, Ecole Polytechnique, Palaiseau, France,
  • Nov 2005: "On the motion of a Peierls' Dislocation" Invited talk in Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 7ZL, England, UK,
  • Oct 2005: "Kinetics of a Dislocation in Peierls-Nabarro and Frenkel-Kontorowa Models" In Theories of Microstructures and Defects, 8-10 October 2005, Society for Natural Philosophy Meeting, Politecnico di Bari, Polignano a Mare - Bari, Italy,
  • Sep 2005: "Energy Landscape for Phase Boundaries and Step formation" In Multi-scale problems: modelling, analysis and applications, 12th - 14th September 2005, University of Bath, Bath, BA2 7AY, UK,
  • Sep 2005: "Dispersive Continuum and Peierls Dislocation" In Successes and Failures of Continuous Models for Discrete Systems, 5-8 September 2005 at the University of Bristol, Bristol BS8 1TR, UK,
  • Aug 2005: "On the motion of a Peierls' Dislocation" Invited talk in Institute of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK,
  • July 2005: "Dislocations and Plasticity" Invited talk in Dynamical Problems in Mathematical Materials Science, July 17-23, 2005 at the International Centre for Mathematical Sciences, Edinburgh, UK,
  • July-August 05: Visiting Institute of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK ,
  • May-June 05: Visiting Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, USA ,
  • March 05: Visiting Division of Applied Mathematics for a week, Brown University, Providence, RI, USA ,
  • March 05: Synchronization of Globally Coupled Oscillators without Symmetry in the Distribution of Natural Frequencies, Theoretical and Applied Mechanics, Cornell University, USA ,
  • October 2004: " Unstable Solitary Waves in One Dimensional Lattice'' in the session on ``Waves in Lattices and Arrays''; First SIAM Nonlinear Waves and Coherent Structures, October 2-4, 2004 at the University of Central Florida in Orlando,
  • June 2004: Discussions on " Phonon Emission, Dispersive Continuum models and the Kinetic Relation for a Dislocation , Visiting the Department of Applied Mathematics, University of Crete, Greece
  • May 2004: "Dispersion, Dissipation and the Kinetic Relation for a Dislocation" in the mini-Symposium on Dynamics of Microstructure and Defects in Solids: Discrete and Continuum Models'', SIAM Conference on Mathematical Aspects of Material Science, May 23-26 2004, LA
  • December 2003: "Unstable Solitary Waves in One-Dimensional Lattice: Discrete Model" in Theoretical and Applied Mechanics, Cornell University.
  • August 2003: "Solitary Waves in One-Dimensional Lattice: Continuum Models" in Theoretical and Applied Mechanics, Cornell University

Visits

  • (1)  Mar ’25: Visiting Professor during the period 29 September-8 October 2025 at at Department of Mathematics, IIT Ropar, India.
  • (2)  Mar ’25: Visiting Professor during the period 21 March-28 March 2025 at Mechanical Engi- neering, IIT Gandhi Nagar, India.
  • (3)  Mar ’25: Visiting Professor during the period of visit 12 February-18 February 2025 at IIITA, Prayagraj, India.
  • (4)  Nov-Dec ’24: Visiting Professor during the period of visit 2 Nov 2024-3 Jan 2025 to Centre de math ́ematiques appliqu ́ees (CMAP) at the Ecole Polytechnique, Palaiseau, France.
  • (5)  Nov-Dec ’24: Visiting researcher during the period of visit 2 Nov 2024-3 Jan 2025 to the Institut des Hautes E ́tudes Scientifiques (IHES), Bures sur Yvette, Paris, France.
  • (6)  Oct ’24: Visiting Professor fellowship during the period of visit 18 October-2 November 2024 to the King Mongkut’s University of Technology Thonburi, 126 Pracha Uthit Rd., Bangkok, Thung Khru, 10140, Thailand.
  • (7)  Aug ’24: Visiting Professor during the period of visit 11-18 Aug 2024 to the King Mongkut’s University of Technology Thonburi, 126 Pracha Uthit Rd., Bangkok, Thung Khru, 10140, Thailand.
  • (8)  Apr ’23: Visiting the Department of Mathematical Sciences, Univeristy of Liverpool, Liver- pool, L69 7ZL, England, UK on 10-12 April 2023.
  • (9)  Feb ’23: Visiting the Department of Mathematical Sciences of the University of Bath, Bath, Bath, BA2 7AY, UK, on 20-21 February 2023.
  • (10)  Jan ’23: Visiting the School of Computer Science and Mathematics at Keele University on 18th January 2023, Keele, Staffordshire, UK, ST5 5NH during visit to the same venue on 17-19 January 2023.
  • (11)  Jan-June 2023: Invited to undertake research relevant to the programme on Mathemati- cal theory and applications of multiple wave scattering in the Isaac Newton Institute for Mathematical Sciences at Cambridge University, UK. This visit is supported by the Simons Foundation Fellowship and the Isaac Newton Institute for Mathematical Sciences, Cambridge University in addition to CPDA funds from IIT Kanpur.
  • (12)  Jul’22: (delivered by S. Dharmavaram): “Multiscale Modeling of Membranes with Embedded Thin Filaments”, CP17 Multiphysical and Multiscale Models, Hybrid: 2022 SIAM Annual Meeting (AN22), David L. Lawrence Convention Center — Pittsburgh, Pennsylvania, U.S, July 11–15, 2022. .
  • (13)  Jul’22: (to be delivered by G. Maurya): “Scattering on square lattice due to an array of rigid constraints”, the 11th European Solid Mechanics Conference (ESMC 2022), taking place from 4 - 8 July 2022 at the National University of Ireland, Galway (NUI Galway).
  • (14)  Jul’22: (to be delivered by D. Das): “Symmetry based analysis of instabilities in a plate with stiffened edge”, the 11th European Solid Mechanics Conference (ESMC 2022), taking place from 4 - 8 July 2022 at the National University of Ireland, Galway (NUI Galway).
  • (15)  Jul’22: (to be delivered by D. Das): “Symmetry based analysis of instabilities in a plate with stiffened edge”, the ECCOMAS Congress 2022 to be held in Oslo, Norway, on 5th-9th of June, 2022.
  • (16)  Jun’22: (delivered by S. Dharmavaram): “Modeling coupled interaction of lipid Membranes with embedded filaments”, the ECCOMAS Congress 2022 to be held in Oslo, Norway, on 5th-9th of June, 2022.
  • (17)  Oct’19: (delivered by V. Eremeyev): “Anti-plane surface waves in media with surface struc- tures and surface interfaces: Discrete vs. continuum model”, in Kick-off meeting of the IRP Coss & Vita joint with Workshop on elastodynamics of microstructured media October, 17–19, 2019 Ecole des Ponts ParisTech, Champs sur Marne, Amphitheatre Navier
  • (18)  Sep’19: (delivered by V. Eremeyev): “Anti-Plane Surface Waves: Discrete vs. continuum model”, in Conference “Dynamics of Technical Systems”, 11–13.09.2019, Rostov on Don, Russia
  • (19)  Jun’19: Visiting Department of Applied Mathematics in University of Crete 25 May-31 May 2019, Greece
  • (20)  May’19: Visiting University of Bari 21 May-25 May 2019, Italy
  • (21)  May’19: Visiting Faculty of Civil and Environmental Engineering, Gdansk University of Tech- nology, Gdansk, 6 May-20 May 2019, Poland
  • (22)  Apr-May’19: Visiting Glasgow Center of Computational Engineering, School of Engineering, University of Glasgow 30 Apr-5 May 2019, UK
  • (23)  Apr’19: Visiting Department of Civil Engineering, University of Cardiff 28 Apr-29 Apr 2019, UK
  • (24)  Apr’19: Visiting Department of Mathematics, University of Keele 25 Apr-27 Apr 2019, UK
  • (25)  Apr’19: Visiting Department of Aerospace Engineering and Engineering Mechanics, Univer- sity of Texas at Austin 10 Apr-24 Apr 2019, USA
  • (26)  Apr’19: Visiting Department of Mathematics, University of Aberystwyth 3 Apr-10 Apr 2019, UK
  • (27)  Mar’19: Visiting University of Cagliari 21 Mar-28 Mar 2019, Dipartimento di Ingegneria Meccanica, Chimica e dei Materiali, Universit ́a di Cagliari, Italy
  • (28)  Dec’18-Jan ’19: Visiting Tata Institute of Fundamental Research, Centre for Applicable Math- ematics, Sharada Nagar, Chikkabommasandra, Bangalore 560065, India
  • (29)  June ’17: Visiting Department of Mechanical & Aerospace Engineering, IIT Hyderabad, Telan- gana, India
  • (30)  Sept ’05: “Energy Landscape for Phase Boundaries and Step formation” — Poster presenta- tion in Multi-scale problems: modelling, analysis and applications, 12th-14th September 2005, University of Bath, Bath, BA2 7AY, UK
  • (31)  July-August ’05: Visiting Institute of Mathematical Sciences, Univeristy of Bath, Bath, BA2 7AY, UK
  • (32)  May-June ’05: Visiting Department of Mathematics, Univeristy of Pittsburgh, Pittsburgh, PA, USA
  • (33)  March ’05: Visiting Division of Applied Mathematics for a week, Brown Univeristy, Provi- dence, RI, USA
  • (34)  March ’05: “Synchronization of Globally Coupled Oscillators without Symmetry in the Dis- tribution of Natural Frequencies” — Theoretical & Applied Mechanics, Cornell University, USA
  • (35)  June-Aug ’04: Informal talks/discussion: Dislocations and other Defects in Crystals — Vis- iting Department of Applied Mathematics in Summer’04, Univeristy of Crete, Greece
  • (36)  April ’04: “Discrete Model and the Kinetic Relation of a Dislocation” — Theoretical & Applied Mechanics, Cornell University, USA
  • (37)  Dec ’03: “Unstable Solitary Waves in One Dimensional Lattice” — Theoretical & Applied Mechanics, Cornell University, USA
  • (38)  Aug ’03: “Solitary Waves in One Dimensional Lattice: Continuum Models” — Theoretical & Applied Mechanics, Cornell University, USA