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TECHNICAL PAPERS

Thermoelastic Fields of a Functionally Graded Coated Inhomogeneity With Sliding/Perfect Interfaces

[+] Author and Article Information
Hamed Hatami-Marbini

Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180

Hossein M. Shodja1

Department of Civil Engineering, Center of Excellence in Structures and Earthquake Engineering, Sharif University of Technology, P. O. Box 11365-9313, Tehran, Iranshodja@sharif.edu

1

Author to whom correspondence should be addressed.

J. Appl. Mech 74(3), 389-398 (Feb 01, 2006) (10 pages) doi:10.1115/1.2200655 History: Received June 02, 2005; Revised February 01, 2006

The determination of the thermo-mechanical stress field in and around a spherical/cylindrical inhomogeneity surrounded by a functionally graded (FG) coating, which in turn is embedded in an infinite medium, is of interest. The present work, in the frame work of Boussinesq/Papkovich-Neuber displacement potentials method, discovers the potential functions by which not only the relevant boundary value problems (BVPs) in the literature, but also the more complex problem of the coated inhomogeneities with FG coating and sliding interfaces can be treated in a unified manner. The thermo-elastic fields pertinent to the inhomogeneities with multiple homogeneous coatings and various combinations of perfect/sliding interfaces can be computed exactly. Moreover, when the coatings are inhomogeneous, as long as the spatial variation of the thermo-elastic properties of the transition layer is describable by a piecewise continuous function with a finite number of jumps, an accurate solution can be obtained. The influence of interface conditions, stiffness of the core, spatial distributions of thermal expansion coefficient and shear modulus of FG coating, and loading condition on the stress field will be examined.

Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

(a) Topology of an FG coated cylindrical inhomogeneity system (b) A typical variation of thermal/mechanical properties of an FG coated inhomogeneity system

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Figure 2

Topology of a spherical inhomogeneity system

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Figure 3

Variation of the hoop stress with distance from the center of the FG coated cylindrical fiber along the x1-axis; effect of interface conditions

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Figure 4

Variation of the tangential stress with distance from the center of the FG coated cylindrical fiber along the line θ=π∕4; effect of interface conditions

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Figure 5

Variation of the radial stress with distance from the center of the FG coated cylindrical fiber along the x1-axis; effect of interface conditions

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Figure 6

Variation of the radial stress with distance from the center of the FG coated cylindrical fiber along the x1-axis; effect of loading conditions

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Figure 7

Variation of the radial stress with distance from the center of the FG coated cylindrical fiber along the x1-axis; influence of fiber stiffness and interface conditions

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Figure 8

Variation of σrr and σrθ with distance from the center of the FG coated cylindrical fiber along the line θ=π∕4; influence of spatial distributions of thermal expansion coefficient and shear modulus of FGM coating

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Figure 9

The jump in hoop displacement along the sliding interfaces of the FG coated spherical particle; effect of interface conditions

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Figure 10

Variation of σrθ with distance from the center of the FG coated spherical particle along the line θ=π∕4; effect of interface conditions

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Figure 11

Variation of the radial stress with distance from the center of the FG coated spherical particle along the x3-axis; effect of interface conditions

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Figure 12

Variation of the radial stress with distance from the center of the FG coated spherical particle along the x3-axis; effect of loading conditions

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Figure 13

Variation of the radial stress with distance from the center of the FG coated spherical particle along the x3-axis; influence of particle stiffness and interface conditions

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Figure 14

Variation of σrr and σrθ with distance from the center of the FG coated spherical particle along the line θ=π∕4; influence of spatial distributions of thermal expansion coefficient and shear modulus of FGM coating

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Figure 15

(a) Variation of normalized radial stress for an FG cylindrical pressure vessel. (b) Variation of normalized hoop stress for an FG cylindrical pressure vessel.

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Figure 16

(a) Variation of normalized radial stress for an FG spherical pressure vessel. (b) Variation of normalized hoop stress for an FG spherical pressure vessel.

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