论文标题
一个简单的一般标准，用于弯曲表面上披露障碍的发作
A simple, general criterion for onset of disclination disorder on curved surfaces
论文作者
论文摘要
确定晶格缺陷在具有高斯曲率的弹性表面上的位置是机械能量优化的一项非平凡的任务，尤其是对于具有边界的表面。我们介绍了一种简单的方法来预测有限表面形状的披露障碍的发作。该标准将加权积分高斯曲率的值固定在通用常数上，并证明在各种形状上，即使以前建议的标准失败了。这是一条简单的途径，可以改善许多材料中晶体顺序的局限性的理解。
Determining the positions of lattice defects on elastic surfaces with Gaussian curvature is a non-trivial task of mechanical energy optimization, particularly for surfaces with boundaries. We introduce a simple way to predict the onset of disclination disorder from the shape of bounded surfaces. The criterion fixes the value of a weighted integral Gaussian curvature to a universal constant and proves accurate across a great variety of shapes, even when previously suggested criteria fail. It is an easy avenue to improved understanding of the limitations to crystalline order in many materials.
