Geometric modeling of knitted fabrics
成果类型：
Article
署名作者：
Niu, Lauren; Dion, Genevieve; Kamien, Randall D.
署名单位：
Drexel University; University of Pennsylvania
刊物名称：
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
ISSN/ISSBN：
0027-12003
DOI：
10.1073/pnas.2416536122
发表日期：
2025-02-18
关键词：
摘要：
It is undeniable that, by any metric, geometry plays a central role in our understanding of the physical world. From celestial mechanics (1) to soap bubbles (2) and from optics (3) to gravity (4), the rigor of geometric logic intoxicates our thinking. Indeed, because of their intrinsic elegance and potential application, tools have been developed to make materials that assemble into a targeted topography. Whether it be through the techniques of origami (5-7), thermal activation of local material anisotropy (8), or pneumatic actuation (9), the common thread is the use of isometric or near-isometric embeddings. Knit materials, on the other hand, have relatively small elastic moduli and can be designed by their creator to fold into complex three-dimensional patterns upon their construction, even without material postprocessing. Here, we propose a purely geometric model that can rationalize the folding of a myriad of knit motifs, and provide direct qualitative comparison between our simulated results and knitted fabrics.