Elasto-plastic contact stress analysis of joints subjected to cyclic loading

Kumar, K. Suresh; Dattaguru, B.; Ramamurthy, T.; Raju, Kumar

doi:10.1016/0045-7949(95)00413-0

Cited by 15 publications

(1 citation statement)

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“…The latest numerical studies on this type of contact problems were either based on the finite element method (e.g., Jing and Liao, 1990;Satish Kumar et al, 1996) or on the boundary element method (Anderson, 1982;Garrido et al, 1991;Garrido and Lorenzana, 1998;Parı´s et al, 1992Parı´s et al, , 1995.…”

Section: Introductionmentioning

confidence: 99%

A receding contact plane problem between a functionally graded layer and a homogeneous substrate

El-Borgi

Abdelmoula

Keer

2006

International Journal of Solids and Structures

117

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In this paper, we consider the plane problem of a frictionless receding contact between an elastic functionally graded layer and a homogeneous half-space, when the two bodies are pressed together. The graded layer is modeled as a nonhomogeneous medium with an isotropic stress-strain law and over a certain segment of its top surface is subjected to normal tractions while the rest of this surface is free of tractions. Since the contact between the two bodies is assumed to be frictionless, then only compressive normal tractions can be transmitted in the contact area. Using integral transforms, the plane elasticity equations are converted analytically into a singular integral equation in which the unknowns are the contact pressure and the receding contact half-length. The global equilibrium condition of the layer is supplemented to solve the problem. The singular integral equation is solved numerically using Chebychev polynomials and an iterative scheme is employed to obtain the correct receding contact half-length that satisfies the global equilibrium condition. The main objective of the paper is to study the effect of the material nonhomogeneity parameter and the thickness of the graded layer on the contact pressure and on the length of the receding contact.

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