3 papers
cs.CE2018
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…
cs.CE2018
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…
cs.CE2018
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…