Non-contact adhesion to self-affine surfaces: A theoretical model

Maxim A. Makeev

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Strength of adhesion between materials is known to be strongly influenced by interface irregularities. In this work, I devise a perturbative approach to describe the effect of self-affine roughness on non-contact adhesive interactions. The hierarchy of the obtained analytical solutions is the following. First, analytical formulae are deduced to describe roughness corrections to the van der Waals interaction energies between a hemi-space adherend, bounded by a self-affine surface, and a point-like adherent. Second, the problem of two hemi-spaces, one of which has a planar surface, and the other is bounded by a self-affine surface, is solved analytically. In the latter case, a numerical analysis is performed to delineate the behavior of the roughness corrections as a function of the parameters, characterizing self-affine fractal surface roughness. The problem of two hemi-spaces, both bounded by self-affine fractal surfaces, is also addressed in this work. The model's predictions are compared with previously reported theoretical results and available experimental data.

Original languageEnglish (US)
Pages (from-to)2806-2809
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number39
StatePublished - Nov 22 2013

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