Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0789.73062
Borodich, F.M.; Mosolov, A.B.
Fractal roughness in contact problems. (English. Russian original)
[J] J. Appl. Math. Mech. 56, No.5, 681-690 (1992); translation from Prikl. Mat. Mekh. 56, No.5, 786-795 (1992). ISSN 0021-8928

The roughness of real polished bodies is shown to be fractal in character. A relation is found between the fractal dimension of a surface and its statistical properties. Models are constructed of the contact of fractal-rough punches and the smooth surface of a deformable half-space by a modelling Winkler medium and a rigidly plastic medium. Asymptotic power laws have been obtained which associate the force operating on the punch and the depth of indentation for different (both plastic and elastic) models of the deformed base. The relation between the power index and the fractal dimension of the surface and the print is determined.

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

Keywords: asymptotic power laws; fractal dimension; statistical properties; fractal-rough punches; Winkler medium; rigidly plastic medium

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]