Abstract
AbstractAdhesion between bodies is strongly influenced by surface roughness. In this note, we try to clarify how the statistical properties of the contacting surfaces affect the adhesion under the assumption of long-range adhesive interactions.Specifically, we show that the adhesive interactions are influenced only by the roughness amplitude hrms, while the rms surface gradient h0rmsonly affects the non-adhesive contact force. This is a remarkable result if one takes into account the intrinsic difficulty in defining $h_{\mathrm{rms}}^{^{\prime }}.$Results are also corroborated by a comparison with self-consistent numerical calculations.
Highlights
Adhesion of surfaces is a widely investigated problem and is of fundamental importance in many elds of science, like biology [1], medicine [2, 3], and engineering [4]
Our results do not give a de nitive response to the initial question, but they put the attention on the effect that the mean square roughness amplitude hrms and gradient hrms have on adhesion in a precise limit: the contact of hard solids with long-range adhesion interactions, where DMT-type models are known works quite well
According to the DMT hypothesis for which adhesive interactions do not alter the deformation of the bodies and act only outside the contact area, the e ective contact force FN producing the contact area A is calculated as difference between the non-adhesive force F and the adhesive one Fad
Summary
Adhesion of surfaces is a widely investigated problem and is of fundamental importance in many elds of science, like biology [1], medicine [2, 3], and engineering [4]. We show that the adhesive interactions are in uenced only by the roughness amplitude hrms, while the rms surface gradient hrmsonly a ects the non-adhesive contact force.
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