ABSTRACT

In the conventional adhesive contact mechanics, the value of the Tabor parameter μ provides criterion for the applicability of the JKR and the DMT models. While the JKR model is an appropriate approximation for a large Tabor parameter (μ > 5), Ciavarella et al. demonstrated that the JKR theory overestimates the hysteresis loss during an approach-retraction period, even though the Tabor parameter is high enough. The present study investigates how surface tension affects the hysteretic loss in an approach-retraction cycle of spherical adhesive contact. With surface tension, Wu’s solution is invalid in terms of the prediction of the jump-in position. Based on Civarella’s research, we developed a hybrid model to approximate the hysteretic loss. This model used direct numerical solution from the Lennard-Jones potential Law. The same method can also be generalized to the spherical contact system with finite stiffness, in terms of hysteretic loss determination.

摘要

在传统的粘合剂接触力学中，Tabor参数μ的值为JKR和DMT模型的适用性提供了标准。对于较大的Tabor参数（μ > 5），Ciavarella等。结果表明，即使Tabor参数足够高，JKR理论仍会高估进近回缩期间的磁滞损耗。本研究调查了表面张力如何在球形胶粘剂接触的缩回循环中影响滞后损耗。对于表面张力，Wu的解对于跳入位置的预测是无效的。基于Civarella的研究，我们开发了一种混合模型来近似滞后损耗。该模型使用了Lennard-Jones势定律的直接数值解。就滞后损耗的确定而言，同样的方法也可以推广到具有有限刚度的球形接触系统。