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Two-dimensional contact analysis of elastic graded materials

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TLDR
In this article, the effect of adhesion in frictionless contact is examined and the results show that the power law elastic gradation can be very advantageous in the design of strong and wear resistance sliding surfaces.
Abstract
The present paper examines two-dimensional contact of a rigid cylinder on an elastic graded substrate. The normal, sliding and rolling type of contact are addressed. The effect of adhesion in frictionless contact is also examined. The elastically graded substrate is modeled to be locally isotropic with constant Poisson ratio and elastic modulus that varies with depth, y, according to a power law, E=E 0 y k ; 0≤k , y≥0 . Such variation covers a fairly broad class of graded materials. Exact results are derived within the context of small deformation linear elasticity. The results show that the power law elastic gradation can be very advantageous in the design of strong and wear resistance sliding surfaces.

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Journal ArticleDOI

Contact mechanics of graded coatings

TL;DR: In this article, the fracture initiation in graded coatings under sliding contact loading was studied and a series of analytical benchmark solutions for examining the influence of such factors as material inhomogeneity constants, the coefficient of friction and various length parameters on the critical stresses that may have a bearing on the fatigue and fracture of the coating.
Journal ArticleDOI

Two-dimensional contact mechanics of functionally graded materials with arbitrary spatial variations of material properties

TL;DR: In this article, a multi-layered model for frictionless contact analysis of functionally graded materials (FGMs) with arbitrarily varying elastic modulus under plane strain-state deformation has been developed.
Journal ArticleDOI

Two-dimensional sliding frictional contact of functionally graded materials

TL;DR: In this paper, a multi-layered model for sliding frictional contact analysis of functionally graded materials with arbitrarily varying shear modulus under plane strain-state deformation has been developed.
Journal ArticleDOI

Thermoelastic contact mechanics for a flat punch sliding over a graded coating/substrate system with frictional heat generation

TL;DR: In this paper, the problem of thermodynamic contact mechanics for the coating/substrate system with functionally graded properties is investigated, where the rigid flat punch is assumed to slide over the surface of the coating involving frictional heat generation.
Journal ArticleDOI

A surface crack in a graded medium loaded by a sliding rigid stamp

TL;DR: In this article, a coupled problem of crack/contact mechanics in a nonhomogeneous medium is considered and the results are presented for various combinations of friction coefficient, material nonhomogeneity constant and crack length parameters, in addition to contact stresses, the in-plane component of the surface stress and the stress intensity factors at the crack tip.
References
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Book

Theory of elasticity

TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book

A treatise on the theory of Bessel functions

G. N. Watson
TL;DR: The tabulation of Bessel functions can be found in this paper, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.
Book

Fracture of Brittle Solids

TL;DR: In this article, the authors present a unified continuum, microstructural and atomistic treatment of modern day fracture mechanics from a materials perspective, focusing on the basic elements of bonding and microstructure that govern the intrinsic toughness of ceramics.
Journal ArticleDOI

On the action of a locomotive driving wheel

TL;DR: In this article, the authors considered the problem of determining the tractive force per unit creepage, longitudinally and transversally, between a wheel and a rail in a two-dimensional manifold.
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