论文标题
弹性稳定的球形内陷
An elastically stabilized spherical invagination
论文作者
论文摘要
内陷是由表面形成的部分围栏。通常由生物膜形成；他们在自然界中比比皆是。在本文中，我们考虑了根本不同的结构：弹性稳定的内陷。着眼于弹性膜形成的球形内陷，我们进行了实验和数学建模，以了解稳定结构的压力和应变场。摩擦在稳定中起着关键作用，因此所需的力平衡是不平等的。使用新的方案，我们能够找到平衡方程的稳定解，以合理地与实验一致。
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.
