论文标题
粘弹性和摩擦的理论
Theory of viscoelastic adhesion and friction
论文作者
论文摘要
我们提出了一种新颖的理论，即线性粘弹性材料对以恒定速度移动的刚性底物的粘附接触。尽管系统的非保守行为，但接触问题的封闭方程仍可以以局部能量平衡的形式进行严格提出。在无粘合触点的情况下，这相当于强制存储在粘弹性材料中的总能量的平稳性。但是，在存在界面粘附的情况下，非保守术语的出现分别导致能量释放速率G1和G2的不同值分别在接触尾声和领先边缘。具体而言，本理论预测G1和G2的非单调趋势是凹痕速度的函数，以及与粘附无粘合剂相比，由于粘附和粘弹性之间的耦合，由于粘附和粘弹性之间的耦合而产生的滞后摩擦趋势非常明显。这两个预测与现有的实验数据都非常吻合。
We present a novel theory of the adhesive contact of linear viscoelastic materials against rigid substrates moving at constant velocity. Despite the non-conservative behavior of the system, the closure equation of the contact problem can be rigorously formulated in the form of a local energy balance. In the case of adhesiveless contacts, this is equivalent to enforce the stationarity of the total energy stored into the viscoelastic material. However, in the presence of interfacial adhesion, the appearance of non-conservative terms leads to different values of the energy release rates G1 and G2 at the contact trailing and leading edges, respectively. Specifically, the present theory predicts a non-monotonic trend of G1 and G2 as function of the indenter velocity, as well as a very significant enhancement of hysteretic friction due to the coupling between adhesion and viscoelasticity, compared to the adhesiveless case. Both predictions are in very good agreement with existing experimental data.
