Design Methodology of Differential Geometry and Mechanical Function on Low-Dimensional Carbon Nano Materials Considering Hierarchy of Lattice Defects

2022 Fiscal Year Final Research Report

• Project/Area Number: 20K04174
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 18010:Mechanics of materials and materials-related
• Research Institution: University of Fukui
• Principal Investigator: LEI XIAOWEN 福井大学, 学術研究院工学系部門, 准教授 (50726148)
• Project Period (FY): 2020-04-01 – 2023-03-31
• Keywords: 格子欠陥 / 階層性 / 微分幾何学 / 力学機能

Outline of Final Research Achievements

Depending on the arrangement and structure of lattice defects, the distance between carbon atoms and their energy states change, which can be used as a function of the physical properties of low-dimensional carbon materials. The lattice structure of ideal carbon materials consists of six-membered rings, and in lattice defects, this is expressed as a combination of five- and seven-membered rings, resulting in a hierarchy of lattice defects. The purpose of this study is to establish a mechanics-functional surface design theory for low-dimensional nanocarbon materials with lattice defects and to elucidate their hierarchical nature in order to construct a deformation mechanics theory based on the curvature of the lattice, which has its basis in duality with mathematics. Furthermore, we have identified a new shape imparting technique to improve the material properties of low-dimensional nanocarbon materials.

Free Research Field

材料力学

Academic Significance and Societal Importance of the Research Achievements

格子理論の数理モデルを用いて、ナノ積層構造を有するグラファイトに曲面設計論に応用できる。さらに、層内の格子欠陥だけではなくて、層間欠陥を含めた積層構造体のリップロケーションやキンク変形を評価する。構築した数理モデルは、ミクロのグラファイトにとどまらず、積層セラミックス、炭素繊維強化プラスチック、層状合金、地層などマクロの積層構造体に研究対象を拡張することで、マルチスケールの積層構造体に普遍的な強化原理・格子制御原理の構築につながると予測され、数学と力学により材料工学で材料強化に貢献すると確認している。