13 papers
Twist-driven helical flattening in nematic elastomer cylinders
Alexia Chatzitheodorou, Christian D. Santangelo
The paper develops an effective two-dimensional model for nematic elastomer cylinders with a through‑thickness twisted director, revealing a strong coupling between twist and curva…
Bonded-particle model for magneto-elastic rods
Gabriel Alkuino, Joel T. Clemmer, Christian D. Santangelo +1
We develop a bonded-particle model for magneto-elastic rods that unifies large deformations, contact, and long-range magnetic interactions within a single discrete-element framewor…
Dynamical geometric modes in non-Euclidean plates
Joseph C. Roback, Carlos E. Moguel-Lehmer, Katharina A. Fransen +2
When subjected to specific prestresses, continuum elastic shells can exhibit geometric zero modes: complex motions that require vanishing elastic energy to excite, enabling them to…
Magnetoresistance and electric current oscillations induced by geometry in a two-dimensional quantum ring
Francisco A. G. de Lira, Edilberto O. Silva, Christian D. Santangelo
In this work, we investigate the effects of a controlled conical geometry on the electric charge transport through a two-dimensional quantum ring weakly coupled to both the emitter…
A catastrophic approach to designing interacting hysterons
Gentian Muhaxheri, Victoria Antonetti, Christian D. Santangelo
We present a framework for analyzing collections of interacting hysterons through the lens of catastrophe theory. By modeling hysteron dynamics as a gradient system, we show how to…
A Constrained Optimization Approach for Constructing Rigid Bar Frameworks with Higher-order Rigidity
Xuenan Li, Christian D. Santangelo, Miranda Holmes-Cerfon
We present a systematic approach for constructing bar frameworks that are rigid but not first-order rigid, using constrained optimization. We show that prestress stable (but not fi…