Abstract
It is reasonable to expect that, when two nominally flat rough surfaces are brought into contact by an applied resultant force, they must support, in addition to the compressive load, an induced moment. The existence of a net applied moment would imply noneven distribution of contact force so that there are more asperities in contact over one region of the nominal area. In this paper, we consider the contact between two rectangular rough surfaces that provide normal and tangential contact force as well as contact moment to counteract the net moment imposed by the applied forces. The surfaces are permitted to develop slight angular misalignment, and thereby contact moment is derived. Through this scheme, it is possible to also define elastic contribution to friction since the half-plane tangential contact force on one side of an asperity is no longer balanced by the half-plane tangential force component on the opposite side. The elastic friction force, however, is shown to be of a much smaller order than the contact normal force. Approximate closed-form equations are found for contact force and moment for the contact of rough surfaces.
Highlights
The seminal work of Greenwood and Tripp [1] and Greenwood and Williamson [2] established the early models for elastic contact of nominally flat rough surfaces
This paper has addressed a methodology for treating contact moment in the interaction of two nominally flat rough surfaces
The method is based on an extension of GT model [28] in which the asperity elastic shoulder-shoulder contact is considered, yielding resultant asperity contact force in a slanted orientation with respect to the mean planes of the surfaces
Summary
The seminal work of Greenwood and Tripp [1] and Greenwood and Williamson [2] established the early models for elastic contact of nominally flat rough surfaces. Hess and Soom [27] are perhaps the first and only ones to address contact moment Their treatment of contact moment was limited to the application of the GW model in which only normal contact force is considered. Sepehri and Farhang [28] developed a three-dimensional model of elastic interaction between two rough surfaces In this model asperity shoulder-shoulder contact is considered leading to the formulation of both halfplane tangential and normal components of contact force. This paper develops the governing equations for the elastic contact of two nominally flat rough surfaces subject simultaneously to applied force and moment. Approximate equations are found, using a multistep optimization procedure that provides accuracy within seven percent
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