Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
Physics Department and Syracuse Soft and Living Matter Program, Syracuse University, Syracuse, New York 13244, USA.
Phys Rev E. 2019 Jan;99(1-1):013002. doi: 10.1103/PhysRevE.99.013002.
The dramatic effect kirigami, such as hole cutting, has on the elastic properties of thin sheets invites a study of the mechanics of thin elastic frames under an external load. Such frames can be thought of as modular elements needed to build any kirigami pattern. Here we develop the technique of elastic charges to address a variety of elastic problems involving thin sheets with perforations, focusing on frames with sharp corners. We find that holes generate elastic defects (partial disclinations), which act as sources of geometric incompatibility. Numerical and analytic studies are made of three different aspects of loaded frames-the deformed configuration itself, the effective mechanical properties in the form of force-extension curves, and the buckling transition triggered by defects. This allows us to understand generic kirigami mechanics in terms of a set of force-dependent elastic charges with long-range interactions.
剪纸的剧烈效果，如孔切割，对薄片的弹性性质有影响，这就需要研究在外部负载下薄弹性框架的力学。这样的框架可以被认为是构建任何剪纸图案所需的模块化元素。在这里，我们发展了弹性电荷的技术来解决各种涉及有穿孔的薄片的弹性问题，重点是具有尖角的框架。我们发现孔产生弹性缺陷（部分双折射），它们充当几何不兼容性的源。对加载框架的三个不同方面进行了数值和分析研究-变形配置本身、力-伸长曲线形式的有效机械性能以及由缺陷引发的屈曲转变。这使我们能够根据一组具有远程相互作用的力相关弹性电荷来理解通用的剪纸力学。
