Sliding Contact Problem of a Round Wedge with a FGM Coated Substrate

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Daghighi Masuleh, Majid | 2012

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 42940 (45)
University: Sharif University of Technology
Department: Aerospace Engineering
Advisor(s): Adibnazari, Saeed
Abstract:
In this research, sliding contact problem of a rounded apex wedge with a FG coated substrate is investigated. The structure includes two components. The first is the FG coating and then, the homogeneous substrate which is connected to the FG coating. Usually, it is considered that the homogeneous substrate is a metal and properties at the connection are metallic. Then, properties varies gradually through the thickness of the FG coating, so, the material at the surface of the structure is a ceramic. It is assumed that, properties varies exponentially and continuously through the FG coating and the poisson’s ratio is constant. Beside, it is supposed that the conditions of coulomb friction prevail. The problem solve with two dimensional elasticity theory. After extraction of the integral equation, by using Jacobi polynomials, it converts to a system of algebraic equation which can be solved by collocation method. The effect of the wedge tip radius, the effect of the (contact length/ thickness the FG coating), changes of the properties in the FG coating and the force contact length relation is presented.
Keywords:
Rounded Apex Edge ; Functionally Graded Materials (FGM) ; Collocation Method ; Modified Coulomb Friction Model ; Homogeneous Substrate ; Jacobi Polynomials

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