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Research Papers

On Elastic Interaction of Nominally Flat Rough Surfaces

[+] Author and Article Information
A. Sepehri, K. Farhang

Department of Mechanical Engineering and Energy Processes, Southern Illinois University Carbondale, Carbondale, IL 62901

J. Tribol 130(1), 011014 (Dec 26, 2007) (5 pages) doi:10.1115/1.2805443 History: Received January 11, 2007; Revised August 14, 2007; Published December 26, 2007

A hybrid interactive/optimization technique is used to derive in approximate closed-form equations relating contact load to mean plane separation. Equations governing Hertz contact for the interaction of surface asperities are considered in which asperity shoulder-to-shoulder contact results in normal and tangential components of force. The normal component of asperity force is summed statistically to find total normal force between the two surfaces. The tangential force over a half-plane corresponding to a select direction is found accounting for the directionality of the tangential component of asperity forces. Two sets of approximate equations are found for each of the normal and half-plane tangential force components. The simplest forms of the approximate equations achieve accuracy to within 5% error, while other forms yield approximation error within 0.2%.

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References

Figures

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Figure 1

Asperity contact

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Figure 2

Overlap region showing normal and oblique interferences

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Figure 3

Left: tangential components of contact force asperity on S1, right: differential area (dA=rdrdθ) and x component of tangential force

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Figure 4

Dimensionless normal contact force, INa(h,βs)

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Figure 5

Percent error of approximation for normal contact force EN(h,βs), Eq. 18

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Figure 6

Percent error of approximation for normal contact force EN(h,βs), Eq. 21

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Figure 7

Dimensionless tangential contact force, Ixa(h,βs)

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Figure 8

Percent error of approximation for tangential contact force Ex(h,βs), Eq. 19

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Figure 9

Percent error of approximation for tangential contact force Ex(h,βs), Eq. 22

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