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Basant Lal Sharma

Basant Lal Sharma

PhD (Cornell University)

Associate Professor, Department of Mechanical Engineering

Research Interest

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.

[email protected]

0512-259-6173 (O)

Office FB-356,
Department of Mechanical Engineering
IIT Kanpur,
Kanpur 208016

Specialization

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.

Education

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

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

Selected Publications

Sharma BL, "On linear waveguides of zigzag honeycomb lattice strips”, Waves in Random and Complex Media, Volume , 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”, Sadhana, Volume , 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”, Sadhana, Volume , Apr 2017, Pages - (link) (preprint) DOI 10.1007/s12046-017-0636-6 [16 pages](--Detailed list--)

Awards & Fellowships

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

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