An elastically stabilized spherical invagination
Soft Condensed Matter
2022-06-14 v1
Abstract
Invaginations are partial enclosures formed by surfaces. Typically formed by biological membranes; they abound in nature. In this paper, we consider fundamentally different structures: elastically stabilized invaginations. Focusing on spherical invaginations formed by elastic membranes, we carried out experiments and mathematical modeling to understand the stress and strain fields underlying stable structures. Friction plays a key role in stabilization, and consequently the required force balance is an inequality. Using a novel scheme, we were able to find stable solutions of the balance equations for different models of elasticity, with reasonable agreement with experiments.
Cite
@article{arxiv.2206.05271,
title = {An elastically stabilized spherical invagination},
author = {Xiaoyu Zheng and Tianyi Guo and Peter Palffy-Muhoray},
journal= {arXiv preprint arXiv:2206.05271},
year = {2022}
}
Comments
10 pages, 5 figures