ABSTRACT

Adhesive contact between a rough fibrillar structure and an elastic half space is numerically studied using the boundary element method. The fibrils are modelled as soft cylinders with constant stiffness and a Gaussian distribution of heights. Adhesive strength is obtained as a function of preload, roughness, and fibril stiffness. The adhesive strength after large enough preloading increases with decrease of fibril stiffness tending to a limiting value, which is independent of roughness. The present model aims to bridge the limiting cases of very rigid fibrils and extremely soft fibrils. In particular, we determined the stiffness needed to make the adhesion stress “tolerant” to the roughness, and an enhancement of adhesion is obtained by decreasing stiffness.

摘要

使用边界元法对粗糙纤维结构和弹性半空间之间的粘合接触进行了数值研究。原纤维被建模为具有恒定刚度和高斯分布的软圆柱体。粘合强度是作为预紧力、粗糙度和原纤维刚度的函数而获得的。足够大的预紧后的粘合强度随着原纤维刚度的降低而增加，趋于极限值，这与粗糙度无关。本模型旨在弥合非常刚性的原纤维和极软的原纤维的极限情况。特别是，我们确定了使粘附应力“容忍”粗糙度所需的刚度，并且通过降低刚度来增强粘附力。