56 citations · 200 across the 23 of their papers we have counts for
23 papers
Computational Modeling of Coupled Interactions of Fluid Membranes with Embedded Filaments
Basant Lal Sharma, Luigi E. Perotti, Sanjay Dharmavaram
In this work, we present a computational formulation based on continuum mechanics to study the interaction of fluid membranes embedded with semiflexible filaments. This is motivate…
Phase recovery from phaseless scattering data for discrete Schrödinger operators
Roman Novikov, Basant Lal Sharma
We consider scattering for the discrete Schrödinger operator on the square lattice , , with compactly supported potential. We give formulas for finding the p…
Generalizing Parametrization Invariance in the Calculus of Variations
Sanjay Dharmavaram, Basant Lal Sharma
We revisit the notion of parametrization invariance while introducing certain weakened notions of invariance in the calculus of variations. In this work, we employ a straightforwar…
Variational principles of nonlinear magnetoelastostatics and their correspondences
Basant Lal Sharma, Prashant Saxena
We derive the equations of nonlinear magnetoelastostatics using several variational formulations involving the mechanical deformation and an independent field representing the magn…
A dislocation-dipole in one dimensional lattice model
Basant Lal Sharma
A family of equilibria corresponding to dislocation-dipole, with variable separation between the two dislocations of opposite sign, is constructed in a one dimensional lattice mode…
Null Lagrangians in Cosserat elasticity
Basant Lal Sharma, Nirupam Basak
In the framework of nonlinear theory of Cosserat elasticity, also called micropolar elasticity, we provide the complete characterization of null Lagrangians for three dimensional b…
Null Lagrangians in linear theories of micropolar type and few other generalizations of elasticity
Nirupam Basak, Basant Lal Sharma
In the context of linear theories of generalized elasticity including those for homogeneous micropolar media, quasicrystals, piezoelectric and piezomagnetic media, we explore the c…
Coupled electro-elastic deformation and instabilities of a toroidal membrane
Zhaowei Liu, Andrew McBride, Basant Lal Sharma +2
We analyse here the problem of large deformation of dielectric elastomeric membranes under coupled electromechanical loading. Extremely large deformations (enclosed volume changes…
Wiener-Hopf factorisation on unit circle: some examples from discrete scattering
Basant Lal Sharma
I discuss some problems featuring scattering due to discrete edges on certain structures. These problems stem from linear difference equations and the underlying basic issue can be…
A Family of Solitary Waves in Frenkel-Kontorova Lattice
Basant Lal Sharma
A family of solitary waves is constructed in Frenkel-Kontorova model and its continuum and quasi-continuum approximations. Each solitary waves is characterised by the number of loc…
Transmission of waves across atomic step discontinuities in discrete nanoribbon structures
Basant Lal Sharma
Scalar wave propagation across a semi-infinite step or step-like discontinuity on any one boundary of the square lattice waveguides is considered within nearest-neighbour interacti…
Scattering on square lattice from crack with damage zone
Basant Lal Sharma, Gennady Mishuris
A semi-infinite crack in infinite square lattice is subjected to a wave coming from infinity, thereby leading to its scattering by the crack surfaces. A partially damaged zone ahea…
Energy expense via lattice wave emission for mode III brittle fracture in square, triangular, and hexagonal lattices
Basant Lal Sharma
The mode III fracture problem for a hexagonal lattice is discussed and compared with square and triangular lattices.
Wave transmission across surface interfaces in lattice structures
Basant Lal Sharma, Victor A. Eremeyev
Within the lattice dynamics formulation, we present an exact solution for anti-plane surface waves in a square lattice strip with a surface row of material particles of two types s…
Synchronization of globally coupled oscillators without symmetry in the distribution of natural frequencies
Basant Lal Sharma
The collective behavior in a population of globally coupled oscillators with randomly distributed frequencies is studied when the natural frequency distribution does not possess an…
Scattering of electronic waves in square and triangular lattice half-planes with monoatomic step
Basant Lal Sharma
Scattering of electronic waves in square and triangular lattice half-planes by a step on the surface is analyzed using the nearest-neighbour tight binding approximation. The change…
Continuum limit of discrete Sommerfeld problems on square lattice
Basant Lal Sharma
A low frequency approximation of the discrete Sommerfeld diffraction problems, involving the scattering of a time harmonic lattice wave incident on square lattice by a discrete Dir…
Scattering by two staggered semi-infinite cracks on square lattice: an application of asymptotic Wiener-Hopf factorization
Gaurav Maurya, Basant Lal Sharma
Scattering of time-harmonic plane wave by two parallel semi-infinite rows, but with staggered edges, is considered on square lattice. The condition imposed on the semi-infinite row…
Discrete scattering by two staggered semi-infinite defects: reduction of matrix Wiener-Hopf problem
Basant Lal Sharma
As an extension of the discrete Sommerfeld problems on lattices, the scattering of a time harmonic wave is considered on an infinite square lattice when there exists a pair of semi…
Anti-plane surface waves in media with surface structure: discrete vs. continuum model
Victor A. Eremeyev, Basant Lal Sharma
We present a comparison of the dispersion relations derived for anti-plane surface waves using the two distinct approaches of the surface elasticity vis-a-vis the lattice dynamics.…
Discrete scattering by a pair of parallel defects
Basant Lal Sharma, Gaurav Maurya
Scattering of a time harmonic anti-plane shear wave due to either a pair of crack tips or a pair of rigid constraint tips on square lattice is considered. The two problems correspo…
Conductance of discrete bifurcated waveguides as three terminal junctions
Basant Lal Sharma
An expression for the transmission matrix based conductance is provided for the propagation of scalar waves in certain bifurcated discrete waveguides using the paradigm of a three-…
Kinematically restricted phonon transmission in partly-unzipped tubes of square and triangular lattices
Basant Lal Sharma
An analysis of the transmission of `scalar' phonons across partially unzipped square and triangular lattice tubes, assuming nearest neighbor interactions between particles, is pres…