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Effect of shear stress on adhesive contact with a generalized Maugis-Dugdale cohesive zone model
Journal of the Mechanics and Physics of Solids ( IF 5.0 ) Pub Date : 2020-12-24 , DOI: 10.1016/j.jmps.2020.104275
Bo Peng , Qunyang Li , Xi-Qiao Feng , Huajian Gao

The interplay between interfacial shear stress and adhesion has been an active but controversial subject of adhesive contact mechanics, which is currently plagued by diverse, sometimes contradicting, predictions. Recently, McMeeking et al. showed that a reversible interface slip parameter plays an essential role in determining how interfacial shear stress affects adhesion for a Johnson-Kendall-Roberts (JKR) contact interface. In this paper, adhesive contact between a rigid spherical indenter and an elastic half-space is studied with a generalized Maugis-Dugdale (M-D) model, where a constant frictional shear stress presents in the intimate contact area while a constant adhesive stress exists in a cohesive zone near the contact edge. The model solution predicts that the contact behavior is governed by a non-dimensional reversible shear index ατ¯2 as well as the Maugis parameter λ. More specifically, it is found that the impact of interfacial shear stress on adhesion is most significant when the model approaches the JKR limit, and it gets less pronounced in the transitional regime and eventually becomes negligible in the Derjaguin-Mulller-Toporov (DMT) limit. Such behavior is in distinct contrast to Johnson's phenomenological solution. Finally, the proposed model is experimentally validated by adhesion tests on contact interfaces with varying Maugis parameters, where the reversible slip factor is experimentally extracted for the first time.



中文翻译:

剪切力对黏性接触的广义莫吉斯-杜格代尔黏合带模型的影响

界面剪切应力与附着力之间的相互作用一直是胶粘剂接触力学的活跃但有争议的主题,目前,该方法受到各种各样(有时相互矛盾)的预测的困扰。最近,McMeeking等人。结果表明,可逆的界面滑移参数在确定界面剪切应力如何影响Johnson-Kendall-Roberts(JKR)接触界面的附着力方面起着至关重要的作用。在本文中,使用广义的Maugis-Dugdale(MD)模型研究了刚性球形压头和弹性半空间之间的胶粘接触,该模型在紧密接触区域中存在恒定的摩擦剪应力,而在胶粘剂中存在恒定的胶粘应力。接触边缘附近的粘性区域。模型解决方案预测接触行为受无量纲可逆剪切指数支配ατ¯2 以及Maugis参数 λ。更具体地说,发现当模型接近JKR极限时,界面剪切应力对附着力的影响最为显着,并且在过渡状态中它的作用不那么明显,最终在Derjaguin-Mulller-Toporov(DMT)极限中可以忽略不计。 。这种行为与约翰逊的现象学解决方案形成鲜明对比。最后,通过对具有变化的莫吉参数的接触界面进行附着力测试,对所提出的模型进行了实验验证,其中首次通过实验提取了可逆滑移系数。

更新日期:2020-12-30
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