在滑动非圆柱形度时的粘弹性摩擦
M Ciavarella1, M Tricarico2, A Papangelo2
1Department of Mechanics Mathematics and Management, TriboDynamics Lab, Politecnico di Bari, Via Orabona 4, 70125, Bari, Italy. mciava@poliba.it.
The European physical journal. E, Soft matter
|April 29, 2025
概括
这项研究检查了在粘性弹性材料上滑动非圆柱体冲击的情况. 这些发现揭示了复杂形状的现有摩擦模型的局限性,建议对摩擦系数进行简化近似.
科学领域:
- 部落学 (tribology) 是一个学科.
- 材料科学 材料科学 材料科学
- 固体力学 固体力学是什么
背景情况:
- 粘弹性材料在接触和摩擦下的行为是复杂的.
- 现有的摩擦分析模型,如Persson的解决方案,主要是为更简单的几何形状,如圆柱体穿孔而开发的.
研究的目的:
- 为了研究2D接触问题,在一个粘弹性半平面上滑动一个非圆柱体的冲击器,用功率定律形状 (k>2).
- 在这个非圆柱形,粘弹性场景中评估分析摩擦解决方案的准确性.
- 在这个复杂的接触问题中确定摩擦系数的更准确的近似值.
主要方法:
- 采用了完整的边界元素数值解决方案.
- 在滑动条件下分析压力分布和摩擦系数.
- 与现有的分析解决方案 (Persson's) 的比较.
主要成果:
- 佩尔森的分析溶液对圆柱体穿孔准确,但对非圆柱体穿孔有显著的定性错误.
- 尽管在粘弹性状态下压力分布复杂,但摩擦系数表现出更简单的趋势.
- 摩擦系数的第一个近似值可以通过将圆柱形溶液与零速度的模量和平均压力进行正常化来获得.
结论:
- 分析摩擦模型需要对粘弹性接触中的非圆柱形几何形状进行改进.
- 在这种情况下,规范化近似为摩擦系数提供了可行的第一阶解决方案.
- 这项研究强调了在模拟利的平面冲击极限时面临的数值挑战.
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