12 citations · 17 across the 13 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…
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…