局部kirigami力学II：可拉伸折痕解
On local kirigami mechanics II: Stretchable creased solutions
摘要：
继局部kirigami力学的本系列工作的第一部分，我们提出了一个研究离散折痕机制作为一个模型来调查kirigami的基本几何积木-e-锥的力学。我们考虑一个环形盘与一个单一的径向狭缝discritised由一系列的径向折痕连接运动学平面刚性面板。折痕允许面板之间的相对旋转和分离，捕获弯曲和拉伸变形。允许的平衡配置获得惩罚这些变形，使用弹性弹簧的刚度来自兼容的连续板变形。这提供了一个工具，研究不可扩展和可扩展的e-锥配置由于打开的狭缝和旋转的嘴唇。因此，这种折痕模型提供了研究远离其等距极限的e锥的可能性，即，有限厚度板，并探讨全范围的后屈曲（远离阈值）行为以及初始屈曲（近阈值）不稳定性。我们的本地方法提供了一个基本的理解kirigami现象学，由一个适当的理论方法几何和力学的基础。
英文摘要：
Following on Part I of this work series on local kirigami mechanics, we present a study of a discretely creased mechanism as a model to investigate the mechanics of the basic geometric building block of kirigami--the e-cone. We consider an annular disk with a single radial slit discritised by a series of radial creases connecting kinematically flat rigid panels. The creases allow both relative rotation and separation between panels, capturing both bending and stretching deformations. Admissible equilibrium configurations are obtained by penalising these deformations using elastic springs with stiffnesses derived from compatible continuum plate deformations. This provides a tool to study both inextensible and extensible e-cone configurations due to opening of the slit and rotation of its lips. This creased model hence offers the possibility to study the e-cone away from its isometric limit, i.e., for plates with finite thickness, and explore the full range of post-buckling (far-from-threshold) behaviour as well as initial buckling (near-threshold) instability. Our local approach provides a fundamental understanding of kirigami phenomenology, underpinned by a proper theoretical approach to geometry and mechanics.
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