Mechanics of Topologically Interlocked Stereotomic Material Systems

拓扑联锁立体材料系统的力学

• 批准号: 1662177
• 负责人: Thomas Siegmund
• 金额: $ 38万
• 依托单位: Purdue University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-06-01 至 2022-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1662177&HistoricalAwards=false
• 关键词: Mechanics; Topologically; Interlocked; Stereotomic; Material

This research investigates the reconciliation of opposed properties in material systems through the use of stereotomic architectures. Engineers and scientists continuously search for high damage tolerant materials and structures. Stereotomy is the art of cutting materials into geometric shapes. The cut blocks are then assembled into complex structures. Scientists have recently discovered new principles for the assembly process. The result is Stereotomic Material Systems with new architectures realized as interlocking assemblies based on single and multiphase tessellations. This research then aims to reconcile opposed properties such as strength-toughness, brittleness-ductility, and hardness-wave speed. It also aims to find approaches to control such properties. The outcomes will have impact on several technologies, including flexible electronics, battery systems, armor, and high temperature structures. The PI will develop related educational modules in the context of engineering mechanics. These activities will introduce pre-college students to engineering principles. The awardee also will develop new graduate-level educational content on architectured material systems. He will engage undergraduate students in related research experiences. Advances in the scientific discourse on architectured material systems will be undertaken through an international symposium on the subject. A collaboration with a small business will enable the implementation of the stereotomic material systems.Stereotomic Material Systems (SMS) are assemblies of polyhedra on underlying tessellation patterns. The present work focuses on non-regular single-phase and multi-phase stereotomic material systems. For static loading, measurements of stiffness, strength and toughness under quasistatic loading are conducted. Under impact loading, experiments to determine wave front speed, unit element velocity and decay rates are planned. There are two main research questions: (1) given the large number of possibilities of tessellations providing potential architectural templates for SMS, and the option to consider multi-material systems, the question is how complexity in the SMS architecture would control SMS stiffness, strength and toughness. (2) since unit-to-unit element contact interactions in SMS are dependent on the degree of transverse deformation, the question is how such contact nonlinearity will manifest itself in the dynamics of the SMS response following impact loading, and how such dynamic response depends on SMS architecture complexity. Multi-material 3D printing is employed to manufacture specimens. Experiments under static and dynamic mechanical load are conducted. Theory and finite element simulation are used in the analysis.

本研究通过使用立体结构来研究材料系统中对立性质的调和。工程师和科学家不断寻找高损伤容忍度的材料和结构。立体切割是将材料切割成几何形状的艺术。然后将切割的块组装成复杂的结构。科学家最近发现了组装过程的新原理。结果是具有新架构的立体材料系统实现为基于单相和多相镶嵌的互锁组件。这项研究的目的是调和相反的性质，如强度-韧性，脆性-延展性和硬度波速。它还旨在找到控制这些属性的方法。这一成果将对若干技术产生影响，包括柔性电子、电池系统、装甲和高温结构。PI将在工程力学的背景下开发相关的教育模块。这些活动将向大学预科学生介绍工程原理。获奖者还将开发新的研究生水平的建筑材料系统教育内容。他将让本科生参与相关的研究经验。关于建筑材料系统的科学论述的进展将通过关于该主题的国际专题讨论会进行。与小型企业的合作将使立体材料系统得以实施。立体材料系统（SMS）是多面体在底层镶嵌图案上的组合。目前的工作重点是非规则的单相和多相立体材料体系。对于静态加载，进行了准静态加载下的刚度、强度和韧性测量。在冲击载荷作用下，进行了波前速度、单元单元速度和衰减率的试验研究。有两个主要的研究问题：(1)考虑到为SMS提供潜在架构模板的大量镶嵌可能性，以及考虑多材料系统的选项，问题是SMS架构的复杂性如何控制SMS的刚度，强度和韧性。(2)由于SMS中单元单元间的接触相互作用取决于横向变形的程度，因此问题是这种接触非线性将如何在冲击加载后的SMS响应动力学中表现出来，以及这种动态响应如何取决于SMS结构的复杂性。采用多材料3D打印技术制造样品。进行了静、动机械载荷下的试验。理论分析与有限元模拟相结合。

项目成果

Mechanics and design of topologically interlocked irregular quadrilateral tessellations

• DOI: 10.1016/j.matdes.2021.110155
• 发表时间: 2021-11-30
• 期刊: MATERIALS & DESIGN
• 影响因子: 8.4
• 作者: Kim, Dong Young;Siegmund, Thomas
• 通讯作者: Siegmund, Thomas

Mechanics of tubes composed of interlocking building blocks

由互锁构件组成的管的力学

• DOI: 10.1016/j.ijengsci.2022.103654
• 发表时间: 2022
• 期刊: International journal of engineering science
• 影响因子: 6.6
• 作者: Mahoney, Kyle;Siegmund, Thomas
• 通讯作者: Siegmund, Thomas

Topologically Interlocked Material Systems: From a Material Design Concept to Properties

拓扑联锁材料系统：从材料设计概念到属性

• 发表时间: 2018
• 期刊: Proceedings of the IUTAM Symposium Architectured Materials Mechanics
• 作者: Siegmund, T

Erratum: “Scaling, Growth, and Size Effects on the Mechanical Behavior of a Topologically Interlocked Material Based on Tetrahedra Elements” [ASME J. Appl. Mech. 86(11), p. 111007; DOI: 10.1115/1.4044025]

勘误表：“基于四面体单元的拓扑联锁材料的机械行为的缩放、生长和尺寸效应”[ASME J. Appl.

• DOI: 10.1115/1.4046663
• 发表时间: 2020
• 期刊: Journal of Applied Mechanics
• 作者: Short, M.;Siegmund, T.
• 通讯作者: Siegmund, T.

STL Files for Tubes Built of Topologically Interlocking Building Blocks

由拓扑互锁构件构建的管的 STL 文件

• DOI: 10.4231/eavv-kb79
• 发表时间: 2022
• 期刊: Purdue University Research Repository
• 作者: Mahoney, Kyle;Siegmund, Thomas
• 通讯作者: Siegmund, Thomas