Establishing a Design Framework for Multi-functional composites by Leveraging Kirigami Cutting, Multi-stability, and Multi-level Optimization

该奖项支持基础研究，以建立一种利用Kirigami切割原理和快速通过多重稳定性来设计复合材料结构的方法。复合材料结构将多种材料结合在一起，以获得理想的性能，对许多工程系统至关重要。快速穿透多稳态结构可以快速从一种稳态过渡到另一种稳态。它们可以承载重量，还可以执行其他功能，如形状变形、振动控制和能量收集。然而，就可实现的形状和功能而言，多稳定复合材料的现状是有限的。本研究利用Kirigami切割原理，从根本上拓展了多稳复合材料的性能空间。设计方法与先进的逐层制造技术相结合，通过优化设计纤维层属性和以kirigami为灵感的切割图案，使二维构建转变为复杂的三维结构。这将导致新颖的结构设计，提供复杂的功能，如形状重新配置和按需机械特性编程。这些结构可以通过增强系统性能和可持续性，使许多行业受益，包括航空航天、汽车和机器人。该奖项还将支持加强克莱姆森大学和南卡罗来纳州附近社区的教育活动的努力。研究成果将被用于像Clemson EMAG！Ne这样的现有外展网络，通过结合工程学和kirigami剪纸艺术来启发公众。这项研究将首次系统地将kirigami剪纸原理纳入与工程相关的优化设计框架中。预计它将在自适应复合材料、kirigami应用和多层次、多目标设计优化方面产生重大飞跃。研究目标将通过1)利用F？PPL-von K？Rm？N(FvK)壳理论和定制形状函数建立新的降阶力学模型来推导设计变量与性能输出之间的数学联系；2)通过广泛的实验测试来制定实用的设计准则和约束；3)推导基于双层优化的多学科综合方法。三项任务的结果将被整合到设计框架中。在整个项目过程中，研究团队将解决许多具有广泛相关性的技术挑战，包括复合材料贴片之间复杂的非自由边界、制造不确定性以及多层次设计优化中的稳健性。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This award supports fundamental research to establish a design methodology for composite structures by taking advantage of Kirigami cutting principles and snap-through multi-stability. Composite structures combine multiple materials to achieve desirable properties and are vital for many engineering systems. Snap-through multi-stable structures can quickly transition from one stable state to another. They can bear weight and perform other functions such as shape morphing, vibration control, and energy harvesting. However, the current-state-of-art in multi-stable composites is limited in terms of the achievable shapes and functionalities. This research uses Kirigami cutting principles to fundamentally expand the performance space of multi-stable composites. The design methodology synergizes with advanced layer-by-layer manufacturing technology, enabling a two-dimensional build to transform into a complex three-dimensional structure through the optimal design of fiber ply properties and Kirigami-inspired cutting patterns. This will lead to novel structural designs that offer sophisticated functionalities, such as shape reconfiguration and on-demand mechanical property programming. These structures can benefit a number of industries, including aerospace, automotive, and robotics, by enhancing system performance and sustainability. This award will also support efforts to enhance educational activities at Clemson University and nearby communities in South Carolina. Research results will be used in existing outreach networks like Clemson EMAG!NE to inspire the public via combining engineering and the art of Kirigami paper cutting.This research will, for the first time, systematically incorporate the Kirigami cutting principle in an engineering-relevant optimal design framework. It is expected to create significant leaps in adaptive composites, Kirigami applications, and multi-level, multi-objective design optimization. The research goals will be achieved by 1) deriving mathematical linkages between design variables and performance outputs via a new reduced-order mechanics model using F?ppl-von K?rm?n (FvK) shell theory and customized shape functions; 2) developing practical design guidelines and constraints via extensive experimental testing; and 3) deriving multi-disciplinary synthesis method based on bi-level optimization. Results of the three tasks will be integrated into the design framework. Throughout the course of this project, the research team will address many technical challenges with broad relevance, including the complex non-free boundaries between composite patches, fabrication uncertainties, and robustness in multi-level design optimization.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.