Graduate School of Science and Engineering, Tokyo Institute of Technology, 1528550 Tokyo, Japan.
J Chem Phys. 2010 Mar 21;132(11):114105. doi: 10.1063/1.3356220.
A theoretical model for the adhesive friction between elastomers and rough solid surfaces is proposed on the basis of opening crack propagation processes at the boundary of the contact interfaces and the rate processes of formation of molecular bonds on the solid surface. This model, which is expressed as a product of the terms related to the two abovementioned processes, requires some measurable and fitted parameters such as the frictional shear strength expressed as a function of viscoelastic dissipation, rate-dependent elasticity, density of bonded molecular chains at a contact junction, critical velocity related to viscoelastic relaxation, and critical velocity related to the rate process of formation of molecular bonds on the solid surface. The friction-velocity relationship exhibits a remarkable fit to previously obtained experimental results for polymers such as engineering rubber, gels, and plastics (glassy polymers), and all fitting parameters are physically reasonable. The viscoelastic index "n" is also related to the "glass-to-rubber transition" of a nanometer-thick polymer layer for frictional behavior. Thus, from a practical viewpoint, this model can be used effectively for fitting the adhesive friction behavior of polymers.
提出了一种关于弹性体与粗糙固体表面之间粘附摩擦的理论模型，该模型基于接触界面边界处的开口裂纹扩展过程和固体表面上形成分子键的速率过程。该模型表示为与上述两个过程相关的项的乘积，需要一些可测量和拟合的参数，例如表示为粘弹性耗散函数的摩擦剪切强度、速率相关弹性、接触结处键合分子链的密度、与粘弹性松弛相关的临界速度以及与固体表面上形成分子键的速率过程相关的临界速度。摩擦-速度关系与之前获得的工程橡胶、凝胶和塑料（玻璃态聚合物）等聚合物的实验结果非常吻合，并且所有拟合参数在物理上都是合理的。粘弹性指数“n”也与纳米厚聚合物层的“玻璃-橡胶转变”有关，从而影响摩擦行为。因此，从实际的角度来看，该模型可有效地用于拟合聚合物的粘附摩擦行为。
