Associate Professor, Department of Mechanical Engineering
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.
https://home.iitk.ac.in/~bls/Homepage/Home.html
https://scholar.google.co.in/citations?user=Afsei6EAAAAJ&hl=en
Office FB-356,
Department of Mechanical Engineering
IIT Kanpur,
Kanpur 208016
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.
PhD
(in Mechanics with minor in pure Maths, Cornell University, 2004)
Advisor: Professor Phoebus Rosakis
Committee members: Professor Timothy J Healey (Department of Mathematics, Cornell University) and Professor (late) Lars B. Wahlbin (Department of Mathematics, Cornell University).
B. Tech. (ME, IIT Bombay , 1999)
Applications of mathematics and concepts in mechanics
“Mechanics of Solids”, “Dynamics”,“Advanced Mechanics of Solids”, “Introduction to Solid Mechanics”, “Introduction to Continuum Mechanics”, “Mathematics for Engineers”, “Wave propagation in solids”, “Dynamic Fracture Mechanics”, “Difference Equations for Engineers”, “Calculus of Variations”, “Hamiltonian Mechanics & Symplectic Algorithms”, “Theory of Martensitic Phase Transformation”, “Mechanics of Biological Membranes”
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]
Das, D, Sharma BL, "Local bifurcation analysis of circular von-Kármán plate with Kirchhoff rod boundary”, SIAM Journal on Applied Mathematics, Vol. 85, Iss. 4 (2025) (link) (preprint) DOI [28 pages, Q1]
Garnier J, Sharma BL, "Surface waves in randomly perturbed discrete models”, SIAM Multiscale Modeling & Simulation,Vol. 23, Iss. 1 (2025), (link) (preprint) DOI 10.1137/24M165510X [29 pages, Q1]
Novikov RG, Sharma BL, "Inverse source problem for discrete Helmholtz equation”, Inverse Problems , Vol. 40, 105005, 2024, (link) (preprint) DOI 10.1088/1361-6420/ad7054 [17 pages, Q1]
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]
Visiting researcher at Institut des Hautes E ́tudes Scientifiques (IHES), Paris for two months.
Visiting professor at King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok for two weeks.
Jan-Feb 2023: Simons fellow at Isaac Newton Institute for Mathematical Sciences (INI), Cambridge.
Department level:
ME Budget committee member 2022-23
DPGC member 2015-16
DUGC member 2009-10, 2015-16
Acting DUGC convener April 29 to May 15, 2010
Condemnation committee convener 2014-15
Nominee to Institute International Relations Committee (IIRC) 2019-20
Ph. D. Comprehensive Exam Committee 2020-21
Ph. D. Admissions Exam Committee 2020-21
Others: M.Tech. interview/written examinations, QIP MTech interview committees, PhD. exami- nation & interview committees, Junior technician examination committees
Institute level:
SLC member 2014-15, 2015-16, 2016-17,
Acting SLC convener 24/5/2017 to 25/6/2017
SLC generalia committee Dec 2015, May 2016, August 2017
Cadence medal committee May 2007
GATE/ME question setters committee (Mathematics and Solid Mechanics) GATE/XE question setters committee (Mathematics)
Others: JEE representative, JEE counselling, GATE representative
Other committees outside department:
M.Tech. interviews (external): Computer Science and Engineering PhD. interviews (external): Mathematics & Statistics
PhD. defense/examination committee: Mathematics & Statistics, Physics
Other PhD. examination committees: Mathematics & Statistics, Electrical Engineering,
M.Tech defense/examination committees (external): Aerospace Engineering, Civil Engineering, Computer Science and Engineering, Chemical Engineering, Environmental Engineering and Man- agement Programme, Nuclear Engineering and Technology
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
(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.