Static frictional indentation of an elastic half-plane by a rigid unsymmetrical punch
type: Item
instance of: scholarly article
title: Static frictional indentation of an elastic half-plane by a rigid unsymmetrical punch
zbMATH Open document ID: 0807.73065
DOI: 10.1007/BF00945932
author: H. G. Georgiadis
author: L. M. Brock
author: Nicolas Ch. Charalambakis
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1995-03-09T00:00:00Z
review text: A rigid two-dimensional punch of curved profile with no concave regions and no end-point corners is pressed into an half-plane. The Coulomb- frictional contact shear stress changes its sign along the contact length. The authors prove that this sign change creates a singularity of power type at the reversal point. The contact stress is determined by solution of a Riemann-Hilbert problem, while the unspecified lengths of the shear stress with different directions of acting are determined numerically by solving a system of nonlinear equations containing integrals. The cases of a wedge and of a parabolic punch are numerically analyzed.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 45E05
zbMATH DE Number: 636034
zbMATH Keywords: Coulomb friction
zbMATH Keywords: contact shear stress
zbMATH Keywords: sign change
zbMATH Keywords: singularity of power type
zbMATH Keywords: Riemann-Hilbert problem
zbMATH Keywords: wedge
zbMATH Keywords: parabolic punch
reviewed by: A.Hanuška
MaRDI profile type: Publication
cites work: Contact Mechanics
cites work: Q4144259
cites work: SOME THERMOELASTIC CONTACT PROBLEMS INVOLVING FRICTIONAL HEATING
cites work: Sliding and indentation by a rigid half-wedge with friction and displacement coupling effects
cites work: Q5820804
cites work: A two-dimensional mixed boundary value problem in elasticity
cites work: Q3885343
cites work: Q5523834
cites work: Q5523516
cites work: Q3702572
cites work: On the super-Rayleigh/subseismic elastodynamic indentation problem
cites work: Q3323133
cites work: Q3331506
full work available at URL: https://doi.org/10.1007/bf00945932
OpenAlex ID: W1965416687
description: scientific article; zbMATH DE number 636034