一维或二维随机分形粗糙度的粘附力降低率截然不同,BAM 模型扩展到各向异性表面

IF 2.9 3区 工程技术 Q2 ENGINEERING, CHEMICAL Tribology Letters Pub Date : 2024-09-19 DOI:10.1007/s11249-024-01916-7
M. Ciavarella, F. Pérez-Ràfols
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引用次数: 0

摘要

粗糙度对附着力的影响自 Fuller 和 Tabor 时代起就开始研究,但最近关于粗糙度究竟是如何扼杀(但有时也会增强!)附着力的,特别是关于公认的分形粗糙度模型,一直存在争论。我们的研究表明,对于典型的幂律 PSD,如果用均方根粗糙度和放大率来表示,佩尔松-托萨蒂标准并不取决于表面的各向异性。相反,将 Ciavarella 的轴承区模型 (BAM) 非常简单地扩展到各向异性的分形表面,却显示出对各向异性微弱但明确的依赖性,在一维情况下粘附力更高,与 Afferrante Violano 和 Dini 的实际数值结果相比,显示出更好的一致性。然而,这两个模型都无法捕捉到实验中发现的加载和卸载之间的强烈滞后现象,而当我们从各向同性情况转向全一维情况时,这种滞后现象很可能会增强附着力。这表明,应用于各向异性表面的 Persson-Tosatti 模型或 BAM 模型都无法捕捉到沿接触线的载荷放大机制以及相关的弹性不稳定性。
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Strongly Different Adhesion Reduction for 1D or 2D Random Fractal Roughness, and an Extension of the BAM Model to Anisotropic Surfaces

The influence of roughness on adhesion has been studied since the time of Fuller and Tabor, but recently there has been debate about how roughness exactly seems to kill (but sometimes enhance!) adhesion, particularly with reference to the accepted model of fractal roughness. We show that the Persson–Tosatti criterion does not depend on anisotropy of the surface for a typical power law PSD if written in terms of rms roughness and magnification. Instead, a very simple extension of the Bearing Area Model (BAM) of Ciavarella to anisotropic fractal surface shows a weak but clear dependence on the anisotropy, with higher adhesion in the 1D case, showing better agreement than the Persson–Tosatti criterion to actual numerical results of Afferrante Violano and Dini. However, neither of the two models permit to capture the strong hysteresis found in experiments between loading and unloading, which is very likely to enhance adhesion more as we move from the isotropic to the full 1D case. This suggests the mechanism of load amplification along contact lines and the associated elastic instabilities, is not captured by either the Persson–Tosatti or the BAM model applied to anisotropic surfaces.

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来源期刊
Tribology Letters
Tribology Letters 工程技术-工程:化工
CiteScore
5.30
自引率
9.40%
发文量
116
审稿时长
2.5 months
期刊介绍: Tribology Letters is devoted to the development of the science of tribology and its applications, particularly focusing on publishing high-quality papers at the forefront of tribological science and that address the fundamentals of friction, lubrication, wear, or adhesion. The journal facilitates communication and exchange of seminal ideas among thousands of practitioners who are engaged worldwide in the pursuit of tribology-based science and technology.
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