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Zbl 0869.73066
Warren, Thomas L.; Krajcinovic, Dusan
Fractal models of elastic-perfectly plastic contact of rough surfaces based on the Cantor set. (English)
[J] Int. J. Solids Struct. 32, No.19, 2907-2922 (1995). ISSN 0020-7683

The objective was to formulate discrete and continuous models to describe the elastic-perfectly plastic deformation of two rough surfaces in contact. The two surfaces in contact are assumed to exhibit fractal behavior and are modeled as an effective fractal surface compressed into a smooth rigid subtrate. The rough self-affine fractal structure of the effective surface is approximated using a Cantor set representation. Both of the proposed models admit analytical solutions for the cases when the plastic deformation is volume conserving or not. Results are presented that illustrate the effects that volume conservation and initial surface structure have on the elastic-perfectly plastic deformation process.

MSC 2000:: *74A55 Theories of friction (tribology)
74M15 Contact
74C99 Plastic materials, etc.
28A80 Fractals

Keywords: effective fractal surface; smooth rigid subtrate; self-affine fractal structure; analytical solutions; volume conservation

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