12 citations · 17 across the 13 of their papers we have counts for
14 papers
Twist-driven helical flattening in nematic elastomer cylinders
Alexia Chatzitheodorou, Christian D. Santangelo
Liquid Crystal elastomers (LCEs) deform anisotropically along a prescribed nematic director field, making them promising candidates for programmable shape change. Existing studies…
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…
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…
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…
Geometric Mechanics of Thin Periodic Surfaces
Wenqian Sun, Yanxin Feng, Christian D. Santangelo +1
Thin surfaces are ubiquitous in nature, from leaves to cell membranes, and in technology, from paper to corrugated containers. Structural thinness imbues them with flexibility, the…
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…
Design Principles for Realizable Discrete Surface Embeddings in Physical Systems
Kyungeun Kim, Christian D. Santangelo
The isometric embedding of surfaces in three-dimensional space is fundamental to various physical systems, from elastic sheets to programmable materials. While continuous surfaces…
Controlling Droplets at the Tips of Fibers
Mengfei He, Samay Hulikal, Marianna Marquardt +5
Many complex wetting behaviors of fibrous materials are rooted in the behaviors of individual droplets attached to pairs of fibers. Here, we study the splitting of a droplet held b…
Active Learning Design: Modeling Force Output for Axisymmetric Soft Pneumatic Actuators
Gregory M. Campbell, Gentian Muhaxheri, Leonardo Ferreira Guilhoto +4
Soft pneumatic actuators (SPA) made from elastomeric materials can provide large strain and large force. The behavior of locally strain-restricted hyperelastic materials under infl…
A Constrained Saddle Search Approach for Constructing Singular and Flexible Bar Frameworks
Xuenan Li, Mihnea Leonte, Christian D. Santangelo +1
Singularity analysis is essential in robot kinematics, as singular configurations cause loss of control and kinematic indeterminacy. This paper models singularities in bar framewor…
Topological rigidity in twisted, elastic ribbons
Carlos E. Moguel-Lehmer, Christian D. Santangelo
Topology is an important determinant of the behavior of a great number of condensed-matter systems, but until recently has played a minor role in elasticity. We develop a theory fo…
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…
Bifurcations of inflating balloons and interacting hysterons
Gentian Muhaxheri, Christian D. Santangelo
While many materials exhibit a complex, hysteretic response to external driving, there has been a surge of interest in how the complex dynamics of internal materials states can be…
Curvature screening in draped mechanical metamaterial sheet
Sourav Roy, C. D. Santangelo
We develop a framework to understand the mechanics of metamaterial sheets on curved surfaces. Here we have constructed a continuum elastic theory of mechanical metamaterials by int…