NSF-BSF: Nonlinearity, Randomness, and Dynamics: Vistas into the Extreme Mechanics of Non-Euclidean Sheets

自变形薄片的概念是一个新的概念，已经出现在不同的设置，如实验室实验，生物体的生物力学，设计和建筑，软机器人和数学分析。自变形片是薄的物体，可以通过内力驱动其形状的巨大变化，并将这种形状变化用于不同的目的，包括运动。这些活动的跨学科性质为培训科学家和数学家的技术技能以及他们抽象，建模和设计复杂系统的能力提供了机会。这项研究涉及以色列和美国的研究人员，增加了两国之间丰富而悠久的科学合作历史。自变形片材是一种薄物体，可以通过内力驱动其形状发生巨大变化，并利用这种形状变化实现不同的目的，包括运动。该项目是实验物理学家和应用数学家之间的奋进，将在一个集成框架中开发新的实验和理论工具，以建模，设计，构建，驱动和控制一组这样的物体，称为双曲薄板。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

The notion of self-morphing sheets is a novel concept that has emerged in diverse setups, such as laboratory experiments, biomechanics of living organisms, design and architecture, soft robotics, and mathematical analysis. Self-morphing sheets are thin objects that can drive large changes of their shapes through internal forces, and exploit such shape changes for different purposes, including locomotion. The interdisciplinary character of the activities offers opportunities for training scientists and mathematicians in technical skills, as well as in their ability to abstract, model, and design complex systems for practical applications. The research involves investigators in Israel and in the United States, adding to the rich and longstanding history of scientific collaborations between the two nations.Self-morphing sheets are thin objects that can drive large changes of their shapes through internal forces, and exploit such shape changes for different purposes, including locomotion. This project, an endeavor between an experimental physicist and an applied mathematician, will develop novel experimental and theoretical tools in an integrated framework to model, design, build, actuate, and control a group of such objects, known as hyperbolic thin sheets. The results can be applied to questions ranging from how marine invertebrates swim to the design of self-actuated soft robots.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.