On frictional effects at inelastic contact between spherical bodies
type: Item
instance of: scholarly article
title: On frictional effects at inelastic contact between spherical bodies
zbMATH Open document ID: 0989.74049
DOI: 10.1016/S0020-7403(98)00110-6
author: Yanyan Li
published in: International Journal of Mechanical Sciences
publication date: 2002-07-28T00:00:00Z
review text: Normal inelastic contact between spherical bodies in examined theoretically and numerically. The analysis is focused on viscoplastic material behaviour. In particular, the effect of Coulomb friction is analyzed in some detail, both regarding global and field variables. It is shown that the solution to the problem of contact between two deformable spherical bodies can be reduced to the solution of the fundamental problem of indentation of a viscoplastic half-space by a rigid sphere. The indentation analysis is based on self-similarity and cumulative superposition of intermediate flat die solution as outlined in a previous study by \textit{B. Storåkers}, \textit{S. Biwa} and \textit{P.-L. Larsson} [Int. J. Solids Struct. 34, No. 24, 3061-3083 (1997; Zbl 0939.74573)]. The results show that frictional effects can be of importance only when global properties such as the contact area and the mean contact pressure are close to perfectly-plastic material properties. Even under such circumstances the difference between values given by the solutions for frictionless and for full adhesive contact is no more than approximately 10\%. Accordingly, it can be concluded that frictional effects are essentially negligible, when, for example, material characterization of viscoplastic solids by Brinell indentation is of interest. The situation is, however, quite different when field variables are at issue. In this case, stress and strain fields can be substantially influenced by friction, with possible implications for such features as crack initiation and crack growth.
reviewed by: Bingzheng Gai
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74M10
zbMATH DE Number: 1421745
zbMATH Keywords: global variables
zbMATH Keywords: viscoplastic material
zbMATH Keywords: Coulomb friction
zbMATH Keywords: viscoplastic half-space
zbMATH Keywords: rigid sphere
zbMATH Keywords: indentation
zbMATH Keywords: self-similarity
zbMATH Keywords: flat die solution
zbMATH Keywords: contact area
zbMATH Keywords: mean contact pressure
zbMATH Keywords: adhesive contact
zbMATH Keywords: Brinell indentation
zbMATH Keywords: field variables
MaRDI profile type: Publication
full work available at URL: s0020-7403(98)00110-6
OpenAlex ID: W1978418383
description: scientific article; zbMATH DE number 1421745