Analytical Solution of a Crack Problem in a Radially Graded FGM

Suat Çetin; Suat Kadıoğlu

doi:10.4028/www.scientific.net/MSF.631-632.115

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HomeMaterials Science ForumMaterials Science Forum Vols. 631-632Analytical Solution of a Crack Problem in a...

Analytical Solution of a Crack Problem in a Radially Graded FGM

Abstract:

The objective of this study is to determine stress intensity factors (SIFs) for a crack in a functionally graded layer bonded to a homogeneous substrate. Functionally graded coating contains an edge crack perpendicular to the interface. It is assumed that plane strain conditions prevail and the crack is subjected to mode I loading. By introducing an elastic foundation underneath the homogeneous layer, the plane strain problem under consideration is used as an approximate model for an FGM coating with radial grading on a thin walled cylinder. The plane elasticity problem is reduced to the solution of a singular integral equation. Constant strain loading is considered. Stress intensity factors are obtained as a function of crack length, strip thicknesses, foundation modulus, and inhomogeneity parameter.

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Periodical:

Materials Science Forum (Volumes 631-632)

Pages:

115-120

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.631-632.115

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Online since:

October 2009

Authors:

Suat Çetin, Suat Kadıoğlu

Keywords:

Crack Problem, Elastic Foundation, Functionally Graded Material (FGM), Stress Intensity Factor (SIF)

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