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