積層表面における粗さを持つ摩擦接触における滑りへのJKR/グリフィスモデル遷移
Shi-Wen Chen1, Xuan-Ming Liang1,2, Gang-Feng Wang1
1Xi'an Jiaotong University, Department of Engineering Mechanics, SVL and MMML, 710049 Xi'an, People's Republic of China.
The Journal of chemical physics
|January 22, 2026
まとめ
本研究では、Johnson-Kendall-Roberts (JKR)-Griffithモデルを積層固体に拡張し、静止摩擦が運動摩擦を超える可能性があることを明らかにする。この結果は、スティックスリップ振動と摩耗を低減するための積層表面の設計に洞察を与える。
科学分野:
- 固体力学
- トライボロジー
- 材料科学
背景:
- 摩擦と付着は機械システムにおいて重要である。
- Johnson-Kendall-Roberts (JKR)-Griffithモデルは、粗面上の摩擦を説明する。
- スティックスリップ現象は、機械の振動と摩耗を引き起こす。
研究 の 目的:
- JKR-Griffithモデルを積層固体に拡張する。
- 接線荷重下での静止摩擦から運動摩擦への遷移を解析する。
- 積層材料における摩擦増強に影響を与える要因を調査する。
主な方法:
- Perssonの接触力学理論とJKR型近似を組み合わせた。
- Cattaneo-Mindlin重ね合わせ原理を適用した。
- 積層固体のための解析的枠組みを開発した。
主要な成果:
- モデルは、静止状態から滑りへの遷移を捉える。
- 静止摩擦は運動摩擦を超える可能性があり、弾性率、粗さ、荷重の影響を受ける。
- 静止摩擦と運動摩擦の最大差は、中間層厚で発生する。
結論:
- JKR-Griffithモデルは、積層固体における摩擦をうまく記述している。
- 積層表面の設計は、スティックスリップを緩和するために最適化できる。
- この結果は、機械の振動と摩耗の低減を導く。
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