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From flat sheets to curved geometries: Origami and kirigami approaches
Materials Today ( IF 24.2 ) Pub Date : 2018-04-01 , DOI: 10.1016/j.mattod.2017.10.004
Sebastien J.P. Callens , Amir A. Zadpoor

Abstract Transforming flat sheets into three-dimensional structures has emerged as an exciting manufacturing paradigm on a broad range of length scales. Among other advantages, this technique permits the use of functionality-inducing planar processes on flat starting materials, which after shape-shifting, result in a unique combination of macro-scale geometry and surface topography. Fabricating arbitrarily complex three-dimensional geometries requires the ability to change the intrinsic curvature of initially flat structures, while simultaneously limiting material distortion to not disturb the surface features. The centuries-old art forms of origami and kirigami could offer elegant solutions, involving only folding and cutting to transform flat papers into complex geometries. Although such techniques are limited by an inherent developability constraint, the rational design of the crease and cut patterns enables the shape-shifting of (nearly) inextensible sheets into geometries with apparent intrinsic curvature. Here, we review recent origami and kirigami techniques that can be used for this purpose, discuss their underlying mechanisms, and create physical models to demonstrate and compare their feasibility. Moreover, we highlight practical aspects that are relevant in the development of advanced materials with these techniques. Finally, we provide an outlook on future applications that could benefit from origami and kirigami to create intrinsically curved surfaces.

中文翻译:

从平板到弯曲的几何形状:折纸和剪纸方法

摘要 将平板转变为三维结构已成为广泛长度范围内令人兴奋的制造范例。除其他优点外,该技术允许在平坦的起始材料上使用功能诱导平面工艺,在变形后,产生宏观几何和表面形貌的独特组合。制造任意复杂的三维几何形状需要能够改变最初平坦结构的内在曲率,同时限制材料变形以不干扰表面特征。具有数百年历史的折纸和剪纸艺术形式可以提供优雅的解决方案,只需折叠和切割即可将平面纸变成复杂的几何图形。尽管这些技术受到固有的可开发性约束的限制,但折痕和切割图案的合理设计能够将(几乎)不可拉伸的片材变形为具有明显固有曲率的几何形状。在这里,我们回顾最近可用于此目的的折纸和剪纸技术,讨论它们的潜在机制,并创建物理模型来演示和比较它们的可行性。此外,我们强调了与使用这些技术开发先进材料相关的实际方面。最后,我们提供了未来应用的展望,这些应用可以从折纸和剪纸中受益,以创建本质上弯曲的表面。折痕和切割图案的合理设计使(几乎)不可拉伸的板材变形为具有明显固有曲率的几何形状。在这里,我们回顾最近可用于此目的的折纸和剪纸技术,讨论它们的潜在机制,并创建物理模型来演示和比较它们的可行性。此外,我们强调了与使用这些技术开发先进材料相关的实际方面。最后,我们提供了未来应用的展望,这些应用可以从折纸和剪纸中受益,以创建本质上的曲面。折痕和切割图案的合理设计使(几乎)不可拉伸的板材变形为具有明显固有曲率的几何形状。在这里,我们回顾最近可用于此目的的折纸和剪纸技术,讨论它们的潜在机制,并创建物理模型来演示和比较它们的可行性。此外,我们强调了与使用这些技术开发先进材料相关的实际方面。最后,我们提供了未来应用的展望,这些应用可以从折纸和剪纸中受益,以创建本质上弯曲的表面。我们强调与使用这些技术开发先进材料相关的实际方面。最后,我们提供了未来应用的展望,这些应用可以从折纸和剪纸中受益,以创建本质上弯曲的表面。我们强调与使用这些技术开发先进材料相关的实际方面。最后,我们提供了未来应用的展望,这些应用可以从折纸和剪纸中受益,以创建本质上弯曲的表面。
更新日期:2018-04-01
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