论文标题

通过收缩弯曲边界来皱纹

Faceted wrinkling by contracting a curved boundary

论文作者

Pal, Anshuman S., Pocivavsek, Luka, Witten, Thomas A.

论文摘要

二维材料(例如Miura-Ori Zig-Zag折叠)的单模变形对于可部署结构的设计非常重要。这些通常需要仔细预先拍摄材料。在这里,我们表明弯曲边界的内部收缩会产生一种细微的皱纹模式,其新型结构表明了相似的单模特征,但预性最小。使用薄圆形环形纸的收缩的有限元表示,我们表明这些片段皱纹成一个由圆锥形扇区和平坦的三角形方面组成的等轴测结构很好地近似的结构。等轴测图有利于将这种变形限制到避免拉伸的稳健低弯曲能通道上。这类屈曲提供了一种通过边界力来操纵薄片形态的新颖方法。

Single-mode deformations of two-dimensional materials, such as the Miura-ori zig-zag fold, are important to the design of deployable structures because of their robustness; these usually require careful pre-patterning of the material. Here we show that inward contraction of a curved boundary produces a fine wrinkle pattern with a novel structure that suggests similar single-mode characteristics, but with minimal pre-patterning. Using finite-element representation of the contraction of a thin circular annular sheet, we show that these sheets wrinkle into a structure well approximated by an isometric structure composed of conical sectors and flat, triangular facets. Isometry favours the restriction of such deformations to a robust low-bending energy channel that avoids stretching. This class of buckling offers a novel way to manipulate sheet morphology via boundary forces.

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