elastic rods

A slender body theory for the motion of special Cosserat filaments in Stokes flow

Submitted by Ajeet Kumar on Thu, 02/24/2022 - 10:19

The motion of filament-like structures in fluid media has been a topic of interest since long. In this regard, a well known slender body theory exists wherein the fluid flow is assumed to be Stokesian while the filament is modeled as a Kirchhoff rod which can bend and twist but remains inextensible and unshearable. In this work, we relax the inextensibility and unshearability constraints on filaments, i.e., the filament is modeled as a special Cosserat rod.

Effect of material nonlinearity on spatial buckling of nanorods and nanotubes

Submitted by Ajeet Kumar on Tue, 06/28/2016 - 09:35

You may be interested in reading our following article: http://link.springer.com/article/10.1007/s10659-016-9586-1. We show the importance of incorporating material nonlinearity for accurate simulation of nanorods and nanotubes. The linear material laws are shown to give completely erroneous results. The nonlinear material laws for nanorods were obtained using the recently proposed "Helical Cauchy-Born rule". We also discuss how surface stress affects buckling in such nanostructures.