Department of Chemistry, University of Ottawa, Ottawa, ON, K1N 6N5, Canada.
J Phys Condens Matter. 2011 Mar 2;23(8):085001. doi: 10.1088/0953-8984/23/8/085001. Epub 2011 Feb 3.
Using a theoretical approach and computer simulations, we calculate the normal stiffness K(perpendicular) and the transverse stiffness K(parallel) of the interface between two contacting isotropic solids with randomly rough surfaces and Poisson ratio ν. The theoretical predictions for K(perpendicular) agree well with the simulations. Moreover, the theoretical result for the ratio K(perpendicular)/K(parallel) is (2 - ν)/(2 - 2ν), as predicted by Mindlin for a single circular contact region. Finally, we compare the theory to experimental ultrasonic data.
我们采用理论方法和计算机模拟,计算了两个具有随机粗糙表面和泊松比 ν 的各向同性固体之间界面的法向刚度 K(perpendicular) 和横向刚度 K(parallel)。K(perpendicular) 的理论预测与模拟结果吻合较好。此外,理论上 K(perpendicular)/K(parallel) 的比值为 (2 - ν)/(2 - 2ν),与 Mindlin 预测的单个圆形接触区域的结果相同。最后,我们将理论与实验超声数据进行了比较。