ArticleProceedings of the National Academy of Sciences of the United States of America2018
Theoretical search for heterogeneously architected 2D structures.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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8 citing papers in PubMed.
- Mining extreme properties from a large metamaterial database.Nature communications · 2025Article
- Design Criteria for Architected Materials with Programmable Mechanical Properties Within Theoretical Limit Ranges.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2024Article
- Unexpected bending behavior of architected 2D lattice materials.Science advances · 2023Article
- Bounded Wang tilings with integer programming and graph-based heuristics.Scientific reports · 2023Article
- Designing Hierarchical Soft Network Materials with Developable Lattice Nodes for High Stretchability.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2023Article
- Hierarchical mechanical metamaterials built with scalable tristable elements for ternary logic operation and amplitude modulation.Science advances · 2021Article
- Soft three-dimensional network materials with rational bio-mimetic designs.Nature communications · 2020Article
- Mechanical anisotropy of two-dimensional metamaterials: a computational study.Nanoscale advances · 2019Article
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5 authors.
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Abstract
Architected 2D structures are of growing interest due to their unique mechanical and physical properties for applications in stretchable electronics, controllable phononic/photonic modulators, and switchable optical/electrical devices; however, the underpinning theory of understanding their elastic properties and enabling principles in search of emerging structures with well-defined arrangements and/or bonding connections of assembled elements has yet to be established. Here, we present two theoretical frameworks in mechanics-strain energy-based theory and displacement continuity-based theory-to predict the elastic properties of 2D structures and demonstrate their application in a search for novel architected 2D structures that are composed of heterogeneously arranged, arbitrarily shaped lattice cell structures with regulatory adjacent bonding connections of cells, referred to as heterogeneously architected 2D structures (HASs). By patterning lattice cell structures and tailoring their connections, the elastic properties of HASs can span a very broad range from nearly zero to beyond those of individual lattice cells by orders of magnitude. Interface indices that represent both the pattern arrangements of basic lattice cells and local bonding disconnections in HASs are also proposed and incorporated to intelligently design HASs with on-demand Young's modulus and geometric features. This study offers a theoretical foundation toward future architected structures by design with unprecedented properties and functions.
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