Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1485
Title: A frictional receding contact plane problem between a functionally graded layer and a homogeneous substrate
Authors: El-Borgi, Sami
Usman, Shameem
Güler, Mehmet Ali
19122
Keywords: Functionally graded layer
Frictional receding contact
Singular integral equation of first kind
Gauss-Chebyshev quadrature-collocation
Least squares solution
Friction coefficient
Nonhomogeneity parameter
Issue Date: Dec-2014
Publisher: Pergamon-Elsevier Science Ltd
Source: El-Borgi, S., Abdelmoula, R., & Keer, L. (2006). A receding contact plane problem between a functionally graded layer and a homogeneous substrate. International Journal of Solids and Structures, 43(3-4), 658-674.
Abstract: This paper investigates the plane problem of a frictional receding contact formed between an elastic functionally graded layer and a homogeneous half space, when they are pressed against each other. The graded layer is assumed to be an isotropic nonhomogeneous medium with an exponentially varying shear modulus and a constant Poisson's ratio. A segment of the top surface of the graded layer is subject to both normal and tangential traction while rest of the surface is devoid of traction. The entire contact zone thus formed between the layer and the homogeneous medium can transmit both normal and tangential traction. It is assumed that the contact region is under sliding contact conditions with the Coulomb's law used to relate the tangential traction to the normal component. Employing Fourier integral transforms and applying the necessary boundary conditions, the plane elasticity equations are reduced to a singular integral equation in which the unknowns are the contact pressure and the receding contact lengths. 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 layer are supplemented to solve the problem. The Gauss-Chebyshev quadrature-collocation method is adopted to convert the singular integral equation to a set of overdetermined algebraic equations. This system is solved using a least squares method coupled with a novel iterative procedure to ensure that the force and moment equilibrium conditions are satisfied simultaneously. The main objective of this paper is to study the effect of friction coefficient and nonhomogeneity factor on the contact pressure distribution and the size of the contact region. (C) 2014 Elsevier Ltd. All rights reserved.
URI: https://www.sciencedirect.com/science/article/pii/S0020768305002350
https://hdl.handle.net/20.500.11851/1485
ISSN: 0020-7683
Appears in Collections:Makine Mühendisliği Bölümü / Department of Mechanical Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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