Fractal models of elastic-perfectly plastic contact of rough surfaces based on the Cantor set
type: Item
instance of: scholarly article
title: Fractal models of elastic-perfectly plastic contact of rough surfaces based on the Cantor set
zbMATH Open document ID: 0869.73066
DOI: 10.1016/0020-7683(94)00241-N
author: Thomas L. Warren
author: Dusan Krajcinovic
published in: International Journal of Solids and Structures
publication date: 1997-03-09T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 989029
zbMATH Keywords: effective fractal surface
zbMATH Keywords: smooth rigid subtrate
zbMATH Keywords: self-affine fractal structure
zbMATH Keywords: analytical solutions
zbMATH Keywords: volume conservation
MaRDI profile type: Publication
full work available at URL: 0020-7683(94)00241-n
OpenAlex ID: W2022986604
description: scientific article; zbMATH DE number 989029