薄框架的非线性力学
Nonlinear mechanics of thin frames
摘要：
戏剧性的效果kirigami，如孔切割，对薄板的弹性性能邀请薄弹性框架下的外部负载的力学研究。这样的框架可以被认为是构建任何kirigami模式所需的模块化元素。在这里，我们开发的弹性收费技术，以解决各种弹性问题，涉及薄板穿孔，重点是帧与尖锐的角落。我们发现，孔产生的弹性缺陷（部分向错）的几何不相容性的来源。数值和分析研究的三个不同方面的加载框架-变形配置本身，有效的力学性能的形式的力-延伸曲线和缺陷引发的屈曲过渡。这使我们能够理解一般kirigami力学方面的一组力依赖的弹性收费与远程相互作用。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
