4 papers
Shape-space dynamics and geometric pattern formation in nonreciprocal slender bodies
Balázs Németh, Mohamed Warda, Ronojoy Adhikari
Nonreciprocal interactions in active solids violate action-reaction symmetry and produce a net response to strain. Assuming invariance under Euclidean symmetries, we derive a shape…
Weakly nonlinear analysis of Hopf bifurcations in the elastohydrodynamics of Cosserat rods
Mohamed Warda
We study the weakly nonlinear saturation of the flutter instability of a planar Cosserat rod in a viscous fluid driven by a terminal follower force. This instability, established i…
Elastohydrodynamic instabilities of a soft robotic arm in a viscous fluid
Mohamed Warda, Ronojoy Adhikari
The design and control of soft robots operating in fluid environments requires a careful understanding of the interplay between large elastic body deformations and hydrodynamic for…
Geometric Field Theory for Elastohydrodynamics of Cosserat Rods
Mingjia Yan, Mohamed Warda, Balázs Németh +2
Slender structures are ubiquitous in biological and physical systems, from bacterial flagella to soft robotic arms. The Cosserat rod provides a mathematical framework for slender b…