Mechanical modeling and characteristic study for the adhesive contact of elastic layered media

Mechanical modeling and characteristic study for the adhesive contact of elastic layered media
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弹性层状介质粘合接触的力学建模与特性研究

DOI:
10.1088/1361-6463/aa9035
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发表时间:
2017-10
期刊:
Journal of Physics D: Applied Physics
影响因子:
--
通讯作者:
Ma Chenbo
Ma Chenbo
中科院分区:
其他
文献类型:
--
作者:
Zhang Yuyan;Wang Xiaoli;Tu Qiaoan;Sun Jianjun;Ma Chenbo

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本文研究了具有不同层厚度、层与基底弹性模量比和粘合能比的光滑刚性球体和光滑弹性层状介质之间的粘合接触。将接触系统的弹性响应与基于Hamaker求和法和Lennard-Jones分子间势定律推导出的等效粘合接触压力方程相结合,建立了数值模型。硬层情况的模拟结果表明,拉脱力随层厚和弹性模量比的变化趋势是复杂的。一方面,当弹性模量比增大时,剥离力在较小层厚处减小,在中间层厚处先减小然后增大,而在较大层厚处单调增大。另一方面,随着层厚的增加,拉脱力先减小后增大。此外,还发现了临界层厚度和最佳层厚度,在该临界层厚度之上硬质层的引入不会降低粘附力,在该最佳层厚度下拉脱力达到最小值。临界层厚度和最佳层厚度都随着Tabor参数的增加而变大,而随着弹性模量比的增加而趋于减小。此外,如果层厚和弹性模量比固定,则剥离力随粘合能比呈次线性增加。
This paper investigates the adhesive contact between a smooth rigid sphere and a smooth elastic layered medium with different layer thicknesses, layer-to-substrate elastic modulus ratios and adhesion energy ratios. A numerical model is established by combining elastic responses of the contact system and an equation of equivalent adhesive contact pressure which is derived based on the Hamaker summation method and the Lennard–Jones intermolecular potential law. Simulation results for hard layer cases demonstrate that variation trends of the pull-off force with the layer thickness and elastic modulus ratio are complex. On one hand, when the elastic modulus ratio increases, the pull-off force decreases at smaller layer thicknesses, decreases at first and then increases at middle layer thicknesses, while increases monotonously at larger layer thicknesses. On the other hand, the pull-off force decreases at first and then increases with the increase in the layer thickness. Furthermore, a critical layer thickness above which the introduction of hard layer cannot reduce adhesion and an optimum layer thickness under which the pull-off force reaches a minimum are found. Both the critical and optimum layer thicknesses become larger with an increase in the Tabor parameter, while they tend to decrease with the increase in the elastic modulus ratio. In addition, the pull-off force increases sublinearly with the adhesion energy ratio if the layer thickness and elastic modulus ratio are fixed.
DOI: 10.1088/0022-3727/40/4/021
发表时间: 2007-02-21
影响因子: 3.4
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