6 citations · 15 across the 5 of their papers we have counts for
5 papers
Differential quadrature element for second strain gradient beam theory
Md. Ishaquddin, S. Gopalakrishnan
In this paper, first we present the variational formulation for a second strain gradient Euler-Bernoulli beam theory for the first time. The governing equation and associated class…
Novel differential quadrature element method for higher order strain gradient elasticity theory
Md. Ishaquddin, S. Gopalakrishnan
In this paper, we propose a novel and efficient differential quadrature element based on Lagrange interpolation to solve a sixth order partial differential equations encountered in…
Unified nonlocal rational continuum models developed from discrete atomistic equations
Amit K. Patra, S. Gopalakrishnan, Ranjan Ganguli
In this paper, a unified nonlocal rational continuum enrichment technique is presented for improving the dispersive characteristics of some well known classical continuum equations…
Phononic band structure of honeycomb lattice with defects, using spectrally formulated finite element method
Sushovan Mukherjee, S. Gopalakrishnan
A spectrally formulated finite element analysis based methodology has been proposed to calculate phononic band structure of reticulated honeycomb lattices having translationally in…
A Spectral Multiscale Method for Wave Propagation Analysis: Atomistic-Continuum Coupled Simulation
Amit K. Patra, S. Gopalakrishnan, Ranjan Ganguli
In this paper, we present a new multiscale method which is capable of coupling atomistic and continuum domains for high frequency wave propagation analysis. The problem of non-phys…