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Zbl 0894.73142
Warren, T.L.; Majumdar, A.; Krajcinovic, D.
A fractal model for the rigid-perfectly plastic contact of rough surfaces. (English)
[J] J. Appl. Mech. 63, No.1, 47-54 (1996). ISSN 0021-8936; ISSN 1528-9036/e

Summary: A continuous asymptotic model is developed to describe the rigid-perfectly plastic deformation of a single rough surface in contact with an ideally smooth and rigid counter-surface. The geometry of the rough surface is assumed to be fractal, and is modeled by an effective fractal surface compressed into the ideally smooth and rigid counter-surface. The rough self-affine fractal structure of the effective surface is approximated using a deterministic Cantor set representation. The proposed model admits an analytic solution incorporating volume conservation. Presented results illustrate the effects of volume conservation and initial surface roughness on the rigid-perfectly plastic deformation that occurs during contact processes. The results from this model are compared with existing experimental load displacement results for the deformation of a ground steel surface.

MSC 2000:: *74A55 Theories of friction (tribology)
74M15 Contact
28A80 Fractals

Keywords: effective fractal surface; rough self-affine fractal structure; deterministic Cantor set representation; analytic solution; volume conservation

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Zentralblatt MATH Berlin [Germany]