论文标题
晶体盖变形的几何和物理
Geometry and physics in the deformations of crystalline caps
论文作者
论文摘要
阐明压力和几何形状的相互作用是在多个领域产生的基本科学问题。在这项工作中，我们研究了弹性和塑料方面限制在球体上的晶帽的几何挫败感。基于显示的准统一顺序，我们发现了通过诱导的曲线对底物曲率进行部分但均匀的筛选，而诱导的曲率是不均匀的晶格。这种情况从根本上与基于拓扑缺陷的常规筛选机制不同。在塑性状态下，高应力的帽子的产量会导致骨折，具有在平面系统中找不到的形态。我们还通过空缺来证明工程压力和断裂的策略。这些结果提高了我们对几何效率晶体顺序的组织和适应性的一般理解。
Elucidating the interplay of stress and geometry is a fundamental scientific question arising in multiple fields. In this work, we investigate the geometric frustration of crystalline caps confined on the sphere in both elastic and plastic regimes. Based on the revealed quasi-conformal ordering, we discover the partial, but uniform screening of the substrate curvature by the induced curvature underlying the inhomogeneous lattice. This scenario is fundamentally different from the conventional screening mechanism based on topological defects. In the plastic regime, the yield of highly stressed caps leads to fractures with featured morphologies not found in planar systems. We also demonstrate the strategy of engineering stress and fractures by vacancies. These results advance our general understanding on the organization and adaptivity of geometrically-frustrated crystalline order.
