A receding frictional contact problem between a graded layer and a homogeneous substrate pressed by a rigid punch

Sami El-Borgi, Isa Çömez

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

This paper considers the plane problem of a receding frictional nonlinear contact between an elastic graded layer and a homogeneous half-space when they are pressed against each other by a rigid stamp. A non-homogenous isotropic stress-strain law was used to model the graded layer. The contact region is assumed to be under sliding contact conditions with Coulombs law relating the tangential traction to the normal component. Applying Fourier integral transform and the appropriate boundary conditions, the plane elasticity equations are converted analytically into a system of singular integral equations in which the unknowns are the pressures and receding contact lengths in the two contact zones. Ensuring mechanical equilibrium is an indispensable requirement warranted by the physics of the problem and therefore the global force and moment equilibrium conditions for the stamp and the layer are supplemented to solve the problem. The Gauss–Chebyshev quadrature-collocation method is used to convert the singular integral equations into a set of nonlinear equations which are solved with a newly developed iterative algorithm to yield the lengths of the receding contact zones and the associated contact pressures. The main focus of this paper is to investigate the effect of the non-homogeneity parameter of the graded layer, the friction coefficient in the contact zones and the radius of the stamp profile on the contact pressures and lengths of the receding contact zones.

Original languageEnglish
Pages (from-to)201-214
Number of pages14
JournalMechanics of Materials
Volume114
DOIs
Publication statusPublished - 1 Nov 2017

Fingerprint

punches
singular integral equations
Integral equations
Substrates
Nonlinear equations
sliding contact
integral transformations
collocation
Elasticity
traction
Physics
half spaces
quadratures
Boundary conditions
coefficient of friction
Friction
nonlinear equations
inhomogeneity
elastic properties
boundary conditions

Keywords

  • Cylindrical punch
  • Functionally graded material
  • Gauss-Chebyshev quadrature-collocation
  • Iterative algorithm
  • Plane receding frictional contact
  • Singular integral equations

ASJC Scopus subject areas

  • Materials Science(all)
  • Instrumentation
  • Mechanics of Materials

Cite this

A receding frictional contact problem between a graded layer and a homogeneous substrate pressed by a rigid punch. / El-Borgi, Sami; Çömez, Isa.

In: Mechanics of Materials, Vol. 114, 01.11.2017, p. 201-214.

Research output: Contribution to journalArticle

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