Schwarz U D
Lawrence Berkeley National Laboratory, Materials Science Division, University of California, 1 Cyclotron Road, Mailstop 66-230, Berkeley, CA 94720, USA.
J Colloid Interface Sci. 2003 May 1;261(1):99-106. doi: 10.1016/s0021-9797(03)00049-3.
A new method to calculate the elastic deformation of a sphere on a flat surface is presented. The model considers the influence of short-range as well as long-range attractive forces both inside and outside the actual contact area. In contrast to earlier models, this theory describes the nature of these deformations in the intermediate regime between the so-called JKR and DMT limits by simple analytic expressions. Equations for the calculation of the contact radius, the deformation, and the pressure distribution are given. In all equations, the critical force that might vary between the limiting values found in the DMT and the JKR model acts as transition parameter.
提出了一种计算球体在平面上弹性变形的新方法。该模型考虑了实际接触区域内外短程和长程吸引力的影响。与早期模型不同，该理论通过简单的解析表达式描述了在所谓的JKR和DMT极限之间的中间区域这些变形的性质。给出了计算接触半径、变形和压力分布的方程。在所有方程中，可能在DMT和JKR模型中找到的极限值之间变化的临界力作为过渡参数。
