3 citations · 7 across the 4 of their papers we have counts for
4 papers
Novel weak form quadrature elements for second strain gradient Euler-Bernoulli beam theory
Md. Ishaquddin, S. Gopalakrishnan
Two novel version of weak form quadrature elements are proposed based on Lagrange and Hermite interpolations, respectively, for a sec- ond strain gradient Euler-Bernoulli beam theo…
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…
Novel weak form quadrature elements for non-classical higher order beam and plate theories
Md. Ishaquddin, S. Gopalakrishnan
Based on Lagrange and Hermite interpolation two novel versions of weak form quadrature element are proposed for a non-classical Euler-Bernoulli beam theory. By extending these conc…