A Fractal Model for the Rigid-Perfectly Plastic Contact of Rough Surfaces

A Fractal Model for the Rigid-Perfectly Plastic Contact of Rough Surfaces. Warren, T. L., Majumdar, A., & Krajcinovic, D. Journal of Applied Mechanics, 63:47-54, March 1, 1996, 1996.

Paper abstract bibtex

In this study 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.

@article {805,
	title = {A Fractal Model for the Rigid-Perfectly Plastic Contact of Rough Surfaces},
	journal = {Journal of Applied Mechanics},
	volume = {63},
	year = {1996},
	month = {March 1, 1996},
	pages = {47-54},
	abstract = {In this study 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.},
	isbn = {0021-8936},
	url = {http://dx.doi.org/10.1115/1.2787208},
	author = {Warren, T. L. and Majumdar, A. and Krajcinovic, D.}
}

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