Analytical Solution Of Adhesion Contact For
A Rigid Sinusoidal Surface On A Semi-infinite
Elastic Body
Author(s)
R. R. A. Sriwijaya, K. Takahashi & K. Jatmiko
Abstract
An analytical solution of adhesion contact for a rigid sinusoidal surface on a
semi-infinite elastic body is presented. The solution for an equilibrium condition
of the system for a combination of the work of Johnson [International Journal of
Solids and Structures, 32(3–4), pp. 423–430, 1995] and Zilberman and Persson
[Solid State Communications, 123(3–4), pp. 173–177, 2002; Journal of Chemical
Physics, 118(14), pp. 6473–6480, 2003] under zero external pressure is obtained.
The interfacial term of the total energy is calculated by considering the curvature
of the contact area following the approach of Zilberman and Persson rather than
the straight line of the contact area as Johnson. Our results agree with both the
analytical result of Johnson for a slightly wavy surface and the numerical results
of Zilberman and Persson for a largely wavy surface at the limitations of their
assumptions. The equilibrium contact width is clearly expressed and the effect of
the surface roughness is discussed.
Keywords: analytical solution, equilibrium condition, critical work of adhesion,
sinusoidal surface, semi-infinite elastic body.
1 Introduction
The contact problems of a semi-infinite elastic body with a flat or a wavy surface
have been investigated by some researchers. Johnson et al. [1] investigated a
smooth contact problem of an elastic body with slightly wavy surface in contact
with a rigid body with flat surface. They obtained a relation between the applied
external pressure and the amplitude of roughness.
Keywords
analytical solution, equilibrium condition, critical work of adhesion,
sinusoidal surface, semi-infinite elastic body.
Related Book
Other papers in this volume
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