IJPAM: Volume 49, No. 3 (2008)

AN EXTENDED MINIMAL MODEL
FOR WEAR PATTERN GENERATION

Norbert Hoffmann
Institute of Mechanics and Ocean Engineering
Hamburg University of Technology
Eißendorfer Straße 42, Hamburg, D-21073, GERMANY
e-mail: norbert.hoffmann@tuhh.de


Abstract.An extended minimal model for wear pattern generation is presented. Instability of the surface evolution against a wavy topography results for a finite wavenumber band close to the wavenumber corresponding to the structural resonance frequency. It turns out that a coupling of the structural system to ground is necessary for stability of small wavenumber perturbations.

Received: August 14, 2008

AMS Subject Classification: 70F40, 74F99

Key Words and Phrases: wear patterns, surface evolution instability, corrugation

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 49
Issue: 3