8 papers
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…