@article{e705832b6e7c44bba9417100371b73ea,
title = "Programming curvatures by unfolding of the triangular Resch pattern",
abstract = "The multi-degree of freedom Resch pattern forms most of its surfaces by tuning the folding angles of its creases. In this research, we program the triangular Resch pattern to naturally achieve surfaces with various curvatures by predefining the neutral angle and stiffness of the creases for the whole pattern. We simulate the free unfolding of tessellations by combining a “bar-and-hinge” model with an explicit meshless method, namely, the finite particle method. The effects of the damping factor, crease stiffness, and neutral angle on the unfolding process are investigated. The neutral angle of the creases plays a critical role in determining the final stable shape of the pattern. Then, we break the natural symmetry of the tessellations by changing the neutral angle and applying specific constraints to active creases to create stable unfolding surfaces with various curvatures. This study provides a foundation for the development of programmed curvatures of metamaterials that can be folded into origami patterns with multiple degrees of freedom.",
keywords = "Constraints, Finite particle method, Programmable curvatures, Resch pattern, Unfolding",
author = "Ying Yu and Yan Chen and Glaucio Paulino",
note = "Funding Information: We thank Prof. Emily Daniels Sanders for helpful comments and input, which contributed to substantial improvements of the manuscript. The authors gratefully acknowledge the financial support provided by the US National Science Foundation (No. 1538830 ), Natural Science Foundation of China (Nos. 51825503 , 51721003 and 52238001 ), Science and Technology Plan of Guangdong, China (No. 210715156881741), and the China Scholarship Council (No. 201706515032 ). We also acknowledge the Margareta Engman Augustine Professor of Engineering at Princeton University. The information provided in this manuscript is solely by the authors and does not necessarily reflect the views of the sponsors or sponsoring agencies. Funding Information: We thank Prof. Emily Daniels Sanders for helpful comments and input, which contributed to substantial improvements of the manuscript. The authors gratefully acknowledge the financial support provided by the US National Science Foundation (No. 1538830), Natural Science Foundation of China (Nos. 51825503, 51721003 and 52238001), Science and Technology Plan of Guangdong, China (No. 210715156881741), and the China Scholarship Council (No. 201706515032). We also acknowledge the Margareta Engman Augustine Professor of Engineering at Princeton University. The information provided in this manuscript is solely by the authors and does not necessarily reflect the views of the sponsors or sponsoring agencies. Publisher Copyright: {\textcopyright} 2022",
year = "2023",
month = jan,
day = "15",
doi = "10.1016/j.ijmecsci.2022.107861",
language = "English (US)",
volume = "238",
journal = "International Journal of Mechanical Sciences",
issn = "0020-7403",
publisher = "Elsevier Limited",
}