B. L. Sharma
Last updated: 1 December 2022 at 7:00 AM
 

  1. Selected Articles


In very general terms, my research interests concern problems that arise in continuum mechanics. I am interested in studying physical phenomena that occur due to the presence of small length scales, for example, the structure and dynamics of defects in crystal.

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

  2. (2)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]

  3. (3)Sharma BL, "Discrete scattering by two staggered semi-infinite defects: reduction of matrix Wiener-Hopf problem”, Journal of Engineering Mathematics, Vol. 123, 41--87, Aug 2020, (link) (preprint) DOI 10.1007/s10665-020-10054-7 [47 pages]

  4. (4)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]

  5. (5)Sharma BL, "On linear waveguides of zigzag honeycomb lattice strips”, Waves in Random and Complex Media, Vol. 28(1), May 2017,  96-138 (link) (preprint) DOI 10.1080/17455030.2017.1331061 [43 pages]

  6. (6)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]

  7. (7)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]

  8. (8)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]


(complete list)

  1. International Journal of Aeroacoustics.

  2. Journal of Peridynamics and Nonlocal Modeling.

  3. Journal of Engineering Mathematics

  4. Waves in Random and Complex Media.

  5. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

  6. Mathematics and Mechanics of Solids.

  7. Journal of Polymer Research.

  8. Wave motion.

  9. Physica Scripta.

  10. Journal of Mechanics of Materials and Structures.

  11. International Journal of Fracture.

  12. Cambridge University Press

  13. European Physical Journal B

  14. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

  15. Continuum Mechanics and Thermodynamics

  16. Zeitschrift für angewandte Mathematik und Physik

  17. Philosophical Magazine

  18. Sadhana,

  19. SIAM Journal on Applied Mathematics

  20. Acta Mechanica

  21. Oxford University Press

  1. Referee


Basant Lal Sharma

B.Tech. 1999 (Indian Institute of Technology Bombay),

Ph.D. 2004 (Cornell)


Associate Pr., FB356 , Mechanical Engineering

Indian Institute of Technology Kanpur

Kanpur, Uttar Pradesh - 208 016, India

Telephone:  +91 512 259 6173 (o), +91 512 259 8424 (r)

(also 392 or 679 in place of 259)

Email:
, Fax: +91 512 259 7408
 

बसंत लाल शर्मा

प्रौद्योगिकी स्नातक १९९९ (भारतीय प्रौद्योगिकी संस्थान, मुंबई), डॉक्टरेट २००४ (कौर्नैल)


एसोसिएट प्रो., संकाय भवन ३५६, यांत्रिकी अभियांत्रिकी

भारतीय प्रौद्योगिकी संस्थान, कानपुर

कानपुर, उत्तर प्रदेश - २०८ ०१६, भारत

दूरभाष:  +९१  ५१२  २५९  ६१७३ (कार्यालय), +९१  ५१२ २५९ ८४२४ (निवास)

(२५९ के स्थान पर ३९२ या ६७९ भी)

ईमेल:
, फैक्स: +९१  ५१२ २५९ ७४०८
 

(Google Scholar)

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Mathematics is a part of physics. Physics is an experimental science, a part of natural science. Mathematics is the part of physics where experiments are cheap. -V. I. Arnold Genuine mathematicians do not gang up, but the weak need gangs in order to survive. - I. G. Petrovskii (for science in modern times, a relevant quote as recollected by V. I. Arnold) The only instruction which a teacher can give, in my opinion, is to think in front of his students. - Henri Lebesgue

Research Interests


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

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.