Journal ArticleDOI
Frictionless Contact of a Functionally Graded Half-Space and a rigid Base with an Axially Symmetric Recess
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In this paper, an axially symmetric frictionless contact between an elastically transversely isptropic functionally graded half-space and a rigid base that has a small axisymmetric surface recess is considered.Abstract:
This paper is concerned with an axially symmetric frictionless contact between an elastically transversely isptropic functionally graded half-space and a rigid base that has a small axisymmetric surface recess. The graded half-space is modeled as a nonhomogeneous medium. We reduce the problem to solving Fredholm integral equations, solve these equations numerically and establish a relationship between the applied pressure and gap radius. The effects of anisotropy and nonhomogeneity parameter of the graded half-space on the normal pressure as well as on the critical pressure have been shown graphically.read more
Citations
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The axisymmetric crack problem in a nonhomogeneous medium
Murat Ozturk,Fazil Erdogan +1 more
TL;DR: In this article, the axisymmetric crack problem for a nonhomogeneous medium is considered and the main results given are the stress intensity factors as a function of the nonhomogeneity parameter alpha for various loading conditions.
Journal ArticleDOI
Axisymmetric analysis of a functionally graded layer resting on elastic substrate
TL;DR: In this paper, a functionally graded (FG) elastic layer resting on homogeneous elastic substrate under axisymmetric static loading is considered, where the shear modulus of the FG layer is assumed to vary in an exponential form through the thickness.
Journal ArticleDOI
Frictionless Contact Between a Rigid Indentor and a Transversely Isotropic Functionally Graded Layer
TL;DR: In this article, the relationship between the applied load P and the contact area is obtained by solving the mathematically formulated problem through using the Hankel transform of different order, and numerical results have been presented to assess the effects of functional grading of the non-homogeneous medium and the application load on the stress distribution in the layer as well as on the relationship of applied load and the area of contact.
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A general solution for the receding contact problem of a functionally graded layer resting on a Winkler foundation
Gökhan Adıyaman,Ahmet Birinci +1 more
TL;DR: In this paper, the receding contact problem of functionally graded (FG) layer resting on a Winkler foundation is considered and a general formulation is obtained using elasticity theory and Fourier integral transform.
References
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Journal ArticleDOI
On the numerical solution of singular integral equations
Fazil Erdogan,G. D. Gupta +1 more
TL;DR: In this paper, a pair of Gauss-Chebyshev integration formulas for singular integrals are developed and a simple numerical method for solving a system of singular integral equations is described.