arXiv subjects

Zachariah S. Schrecengost

Publications and source records attributed to Zachariah S. Schrecengost.

3 recordsLinked to original sources

arXiv2026

Materializing split, mixed, and three-body interactions using rotor-based mechanical hysterons

Interacting hysteretic spins are an appealing model for cyclically-driven athermal disordered matter. Because they provide a basis for storing and processing information from their environment, such models are also being pursued as a framework for intelligent matter. Recent proof-of-concept designs have begun to demonstrate the strong, controlled, pairwise interactions that are necessary for this endeavor. But, it is not yet clear what are the limits---practically or fundamentally---on such interactions. Here we build rotor-based mechanical hysterons that extend the generality of their interactions in three ways: (i) splitting the interaction strength based on the hysteron state, (ii) building a non-reciprocal interaction of mixed sign, and (iii) incorporating tunable three-body effects. We access these effects within a simple, replicable design platform, and we rationalize our results. Our work expands the space of behaviors for designed structures that compute on mechanical inputs.

cond-mat.soft↗

arXiv2025

Shape of a membrane on a liquid interface with arbitrary curvatures

We study the deformation of a liquid interface with arbitrary principal curvatures by a flat circular sheet. Working first at small slopes, we determine the shape of the sheet analytically in the membrane limit, where the sheet is inextensible yet free to bend and compress. We find that the sheet takes a cylindrical shape on interfaces with negative Gaussian curvature. On interfaces with positive Gaussian curvature, an inner region still adopts a cylindrical shape while the outer region is under azimuthal compression. Numerical energy minimization confirm our predictions and show that this behavior holds for finite slopes. Experiments on a thin polystyrene film at an anisotropic air-water interface show consistent behaviors.

cond-mat.soft↗

arXiv2020

Crumples as a generic stress-focusing instability in confined sheets

Thin elastic solids are easily deformed into a myriad of three-dimensional shapes, which may contain sharp localized structures as in a crumpled candy wrapper, or have smooth and diffuse features like the undulating edge of a flower. Anticipating and controlling these morphologies is crucial to a variety of applications involving textiles, synthetic skins, and inflatable structures. Here we show that a "wrinkle-to-crumple" transition, previously observed in specific settings, is a ubiquitous response for confined sheets. This unified picture is borne out of a suite of model experiments on polymer films confined to liquid interfaces with spherical, hyperbolic, and cylindrical geometries, which are complemented by experiments on macroscopic membranes inflated with gas. We use measurements across this wide range of geometries, boundary conditions, and lengthscales to quantify several robust morphological features of the crumpled phase, and we build an empirical phase diagram for crumple formation that disentangles the competing effects of curvature and compression. Our results suggest that crumples are a generic microstructure that emerge at large curvatures due to a competition of elastic and substrate energies.

cond-mat.soft↗