Viscoelastic dissipation is long concerned to be one of the origins of kinetic friction. In this study, the viscoelastic contact of rough solids is investigated by combining the principle of Lee and Radok and a recently developed incremental contact model. Evolutions of the real contact area and the average interfacial separation are obtained for a loading-unloading circle. For standard linear solids with Gaussian random rough surfaces, the effects of the viscoelastic reduction ratio and the loading rate on the contact responses are discussed. The viscosity of contacting solids would lead to the hysteresis of the mechanical responses to external excitation. Based on the relation between the average interfacial separation and the normal load, the viscoelastic energy dissipation is calculated and the role of surface morphology is addressed. Generally, the dissipated energy is proportional to the root-mean-square height of the rough surface, but decays for surfaces with larger root-mean-square slopes. The results of the current study are helpful for studying the friction between solids.

粘弹性耗散长期以来被认为是动摩擦的起源之一。在这项研究中，结合 Lee 和 Radok 的原理以及最近开发的增量接触模型，研究了粗糙固体的粘弹性接触。对于加载-卸载圆，获得了实际接触面积和平均界面分离的演变。对于具有高斯随机粗糙表面的标准线性固体，讨论了粘弹性减少率和加载速率对接触响应的影响。接触固体的粘度会导致对外部激励的机械响应滞后。基于平均界面分离与法向载荷之间的关系，计算粘弹性能量耗散并解决表面形态的作用。通常，耗散能量与粗糙表面的均方根高度成正比，但对于具有较大均方根斜率的表面会衰减。目前的研究结果有助于研究固体之间的摩擦。