Dynamic frictional identation of an elastic half-plane by a rigid punch
type: Item
instance of: scholarly article
title: Dynamic frictional identation of an elastic half-plane by a rigid punch
zbMATH Open document ID: 0823.73057
DOI: 10.1007/BF00115544
author: H. G. Georgiadis
author: L. M. Brock
published in: Journal of Elasticity
publication date: 1995-11-09T00:00:00Z
review text: This work studies an elastodynamic indentation problem describing a rapid indentation of a deformable half-plane by a rigid body in the presence of Coulomb friction that reverses its direction along the contact length. Two different indentor geometries a treated: the uniformly moving wedge and the uniformly accelerating parabola. Due to the symmetry of both the indentor profile and loading, the friction changes directions only at one point, which coincides with the indentor apex. The authors give detailed exact analysis of the problem and observe that a stress singularity is built up at the point of sign-reversal of the friction. Moreover, this build-up occurs independently of any singularity due to the indentor profile itself. The study exploits the self-similarity of the problem by utilizing homogeneous function techniques previously used by the first author, along with the Riemann-Hilbert problem analysis. Finally, representative numerical results are given for the case of wedge indentation.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 753641
zbMATH Keywords: friction sign-reversal
zbMATH Keywords: Coulomb friction
zbMATH Keywords: uniformly moving wedge
zbMATH Keywords: uniformly accelerating parabola
zbMATH Keywords: stress singularity
zbMATH Keywords: self-similarity
zbMATH Keywords: homogeneous function techniques
zbMATH Keywords: Riemann-Hilbert problem
reviewed by: Jan Lovíšek
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00115544
OpenAlex ID: W2095339772
description: scientific article; zbMATH DE number 753641