36 citations · 112 across the 13 of their papers we have counts for
4 papers · 1 filter
Nature's forms are frilly, flexible, and functional
Kenneth K. Yamamoto, Toby L. Shearman, Erik J. Struckmeyer +2
A ubiquitous motif in nature is the self-similar hierarchical buckling of a thin lamina near its margins. This is seen in leaves, flowers, fungi, corals, and marine invertebrates.…
Isometric immersions, energy minimization and self-similar buckling in non-Euclidean elastic sheets
John Gemmer, Eran Sharon, Toby Shearman +1
The edges of torn plastic sheets and growing leaves often display hierarchical buckling patterns. We show that this complex morphology (i) emerges even in zero strain configuration…
Isometric immersions and self-similar buckling in Non-Euclidean elastic sheets
John Gemmer, Eran Sharon, Shankar Venkataramani
The edge of torn elastic sheets and growing leaves often form a hierarchical buckling pattern. Within non-Euclidean plate theory this complex morphology can be understood as low be…
Shape Transitions in Hyperbolic Non-Euclidean Plates
John Gemmer, Shankar Venkataramani
We present and summarize the results of recent studies on non-Euclidean plates with imposed constant negative Gaussian curvature in both the Föppl - von Kármán and Kirchhoff approx…