Argatov Ivan, Li Qiang, Pohrt Roman, Popov Valentin L
Berlin University of Technology , Berlin 10623, Germany.
Proc Math Phys Eng Sci. 2016 Jul;472(2191):20160218. doi: 10.1098/rspa.2016.0218.
The unilateral axisymmetric frictionless adhesive contact problem for a toroidal indenter and an elastic half-space is considered in the framework of the Johnson-Kendall-Roberts theory. In the case of a semi-fixed annular contact area, when one of the contact radii is fixed, while the other varies during indentation, we obtain the asymptotic solution of the adhesive contact problem based on the solution of the corresponding unilateral non-adhesive contact problem. In particular, the adhesive contact problem for Barber's concave indenter is considered in detail. In the case when both contact radii are variable, we construct the leading-order asymptotic solution for a narrow annular contact area. It is found that for a v-shaped generalized toroidal indenter, the pull-off force is independent of the elastic properties of the indented solid.
在约翰逊 - 肯德尔 - 罗伯茨理论框架下，考虑了环形压头与弹性半空间之间的单侧轴对称无摩擦粘着接触问题。在半固定环形接触区域的情况下，当其中一个接触半径固定，而另一个在压痕过程中变化时，我们基于相应单侧非粘着接触问题的解得到了粘着接触问题的渐近解。特别地，详细考虑了巴伯凹形压头的粘着接触问题。在两个接触半径都可变的情况下，我们构建了窄环形接触区域的一阶渐近解。结果发现，对于V形广义环形压头，拉脱力与被压固体的弹性性质无关。
