Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853, USA.
Soft Matter. 2014 Jul 14;10(26):4625-32. doi: 10.1039/c4sm00216d.
In problems of indentation of an elastic half-space by a rigid sphere, the effects of surface tension outside the contact zone are not accounted for by classical theories of contact mechanics. However surface tension plays a dominant role in determining the mechanics of this adhesive contact when the half-space becomes very compliant and the sphere is very small. Using a finite element method (FEM), we present a numerical solution of such a problem, showing the transition between the classical Johnson-Kendall-Roberts (JKR) deformation and a liquid-like deformation in the absence of external load and gravity. The numerical model is in good agreement with previous experiments [R. W. Style et al., Nat. Commun., 2013, 4, 2728].
在弹性半空间被刚性球体压入的问题中，经典接触力学理论没有考虑接触区外的表面张力的影响。然而，当半空间变得非常柔软并且球体非常小时，表面张力在确定这种粘性接触的力学行为方面起着主导作用。我们使用有限元方法 (FEM) ，给出了这样一个问题的数值解，展示了在没有外部负载和重力的情况下，从经典的 Johnson-Kendall-Roberts (JKR) 变形到液体状变形的转变。数值模型与以前的实验结果[R. W. Style 等人，Nat. Commun.，2013，4，2728]吻合良好。
