Collaborative Research: Computational Design of Multi-functional Minimal-Surface Lattice Structures

合作研究：多功能最小表面晶格结构的计算设计

• 批准号: 2130694
• 负责人: Guhaprasanna Manogharan
• 金额: $ 25.6万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2022
• 资助国家: 美国
• 起止时间: 2022-10-01 至 2025-09-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2130694&HistoricalAwards=false
• 关键词: Collaborative; Research; Computational; Design; Multi

Triply periodic minimal-surface (TPMS) lattices are widely present in nature and are finding increasing viability for use in engineering applications. Their geometric properties facilitate fabrication via additive manufacturing techniques, and they exhibit good mechanical and transport properties. However, an outstanding challenge in the design and use of these lattices is the lack of consideration for material failure criteria arising from cyclic loading, which is critical for many potential applications. This award supports fundamental research to formulate novel computational techniques to efficiently design multi-functional TPMS lattice structures with regards to strength, durability, transport, and manufacturability criteria, and to allow for modulation of the unit cell design within the component. This research has the potential to substantially increase the viability and range of applications of lightweight minimal-surface lattices in demanding applications in healthcare, welfare, and energy efficiency, such as porous orthopedic implants with enhanced bone-loss prevention, spacers for membrane distillation with high mass transfer efficiency for desalination and wastewater treatment, and architected battery electrodes with high power output and energy storage. This award will also support the development of teaching modules that explore the engineering and aesthetic aspects of designing artifacts with minimal-surface lattices for undergraduate industrial design students, K-12 teachers, and engineering graduate students.To achieve the goal of formulating efficient computational techniques to design TPMS lattices fabricated via additive manufacturing, this project will exploit the mathematical structure of minimal surfaces and couple tools in the differential geometry of surfaces with topology optimization techniques to: 1) design thickness-graded lattices that satisfy strength, permeability and manufacturability requirements; 2) incorporate mechanical fatigue requirements in the lattice design; and 3) modulate the design and orientation of the lattice unit cell within the structural component to render superior performance. Further, design techniques that systematically vary the local geometry of the unit cell within the component will be explored. Fabrication via metal additive manufacturing of TPMS lattices as well as surface morphological analysis, imaging and mechanical testing will be conducted both to inform geometric limits on the lattice design dictated by the manufacturing process, and to validate the performance of lattice designs obtained with the formulated computational techniques.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.

三周期最小曲面（TPMS）晶格广泛存在于自然界中，并在工程应用中发现越来越多的可行性。它们的几何特性有助于通过增材制造技术进行制造，并且它们表现出良好的机械和传输特性。然而，在设计和使用这些网格的一个突出的挑战是缺乏考虑的材料失效标准所产生的循环加载，这是许多潜在的应用程序的关键。该奖项支持基础研究，制定新的计算技术，以有效地设计多功能TPMS网格结构的强度，耐用性，运输和可制造性标准，并允许在组件内的单元格设计的调制。这项研究有可能大大提高轻量化最小表面晶格在医疗保健，福利和能源效率方面的应用的可行性和应用范围，例如具有增强骨流失预防的多孔骨科植入物，用于脱盐和废水处理的高传质效率膜蒸馏的间隔物，以及具有高功率输出和能量存储的结构电池电极。该奖项还将支持为本科工业设计专业学生、K-12教师和工程专业研究生开发教学模块，以探索设计具有最小表面网格的工件的工程和美学方面。为了实现制定有效的计算技术以设计通过增材制造制造的TPMS网格的目标，本计画将利用最小曲面的数学结构，并将曲面微分几何中的工具与拓扑最佳化技术结合，以：1）设计满足强度、渗透性和可制造性要求的厚度渐变晶格; 2）在晶格设计中结合机械疲劳要求;以及3）调节结构部件内的晶格单位单元的设计和取向以提供上级性能。此外，设计技术，系统地改变局部几何形状的单元内的组件将被探索。将通过TPMS格栅的金属增材制造以及表面形态分析、成像和机械测试进行制造，以告知制造过程所规定的格栅设计的几何限制，该奖项反映了NSF的法定使命，并被认为值得通过使用基金会的学术价值和更广泛的影响审查标准。