2023 Fiscal Year Final Research Report
Topology optimization to control dynamic performance of composite materials including rubber, resin, and metal
| Project/Area Number |
21K14229
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| Research Category |
Grant-in-Aid for Early-Career Scientists
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| Allocation Type | Multi-year Fund |
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| Review Section |
Basic Section 22020:Structure engineering and earthquake engineering-related
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| Research Institution | Nagoya University |
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Principal Investigator |
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| Project Period (FY) |
2021-04-01 – 2024-03-31
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| Keywords | トポロジー最適化 / 材料非線形 / 複合材料 / 弾塑性材料 |
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| Outline of Final Research Achievements |
This study extends the existing topology optimization theory to control the dynamic response of composite structures containing rubber, resin, and metal in terms of impact resistance and vibration-damping properties. First, an optimization problem and sensitivity analysis were formulated for the purpose of controlling the dynamic response of composite structures, especially the damping properties derived from the materials. Next, a virtual material model combining elastoplastic and other materials was proposed, and a topology optimization framework for heterogeneous composite materials, including resins and metals, was developed. Finally, a stabilization method based on a subloading surface model was introduced to address the instability problem in convergence calculations caused by non-smooth stress-strain relationships.
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| Free Research Field |
土木工学
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| Academic Significance and Societal Importance of the Research Achievements |
本研究により，これまでのトポロジー最適化の枠組みで扱えなかった非線形複合材料の複雑な動的挙動を考慮した最適設計の実現に向けて前進した．弾塑性材料を含む異なる非線形材料を合わせた仮想混合材料モデルの提案と，同仮想材料のグレースケール下の応力-ひずみ関係の滑らかさを補完する下負荷面モデルの適用はこれまでにないアプローチであり，他の異種複合材料に対しても拡張性・汎用性を有している．
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