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The axisymmetric crack problem in a nonhomogeneous medium

TLDR
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.
Abstract
: In this paper the axisymmetric crack problem for a nonhomogeneous medium is considered. It is assumed that the shear modulus is a function of z approximated by mu = mu (sub 0) e to the alpha z power. This is a simple simulation of materials and interfacial zones with intentionally or naturally graded properties. The problem is a mixed mode problem and is formulated in terms of a pair of singular integral equations. With fracture mechanics applications in mind, the main results given are the stress intensity factors as a functions of the nonhomogeneity parameter alpha for various loading conditions. Also given are some sample results showing the crack opening displacements.

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Citations
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Fracture Mechanics of Functionally Graded Materials

TL;DR: In this paper, the authors proposed a method for reducing residual and thermal stresses and enhancing bonding strength by grading the material composition near the interfaces or through the coating, known as functionally graded materials (FGMs).
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The Surface Crack Problem for a Plate With Functionally Graded Properties

TL;DR: In this article, the authors considered the plane elasticity problem for a nonhomogeneous layer containing a crack perpendicular to the boundaries and solved the problem under three different loading conditions, namely fixed grip, membrane loading, and bending applied to the layer away from the crack region.
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Crack problems in fgm layers under thermal stresses

TL;DR: In this article, an unconstrained elastic layer under statically self-equilibrating thermal or residual stresses is considered, where the layer is assumed to be a functionally graded material (FGM), meaning that its thermo-mechanical properties are continuous functions of the thickness coordinate.
Journal ArticleDOI

The interface crack problem for a nonhomogeneous coating bonded to a homogeneous substrate

TL;DR: In this paper, the debonding problem for a composite layer that consists of a homogeneous substrate and a non-homogeneous coating is considered, and the main variables in the problem are two dimensionless length parameters and nonhmogeneity constant.
Journal ArticleDOI

Cracks in functionally graded materials

TL;DR: In this paper, failure of thermal barrier coatings (TBCs) under cyclic surface heating by laser irradiation is modeled on the basis of fracture mechanics, which can be understood as an effect of progressive shrinkage due to sintering and high-temperature creep during thermal cycling, which increases the energy-release rate for vertical cracks which subsequently turn into delamination cracks.
References
More filters
Journal ArticleDOI

Fracture Mechanics of Functionally Graded Materials

TL;DR: In this paper, the authors proposed a method for reducing residual and thermal stresses and enhancing bonding strength by grading the material composition near the interfaces or through the coating, known as functionally graded materials (FGMs).
Journal ArticleDOI

The Surface Crack Problem for a Plate With Functionally Graded Properties

TL;DR: In this article, the authors considered the plane elasticity problem for a nonhomogeneous layer containing a crack perpendicular to the boundaries and solved the problem under three different loading conditions, namely fixed grip, membrane loading, and bending applied to the layer away from the crack region.
Journal ArticleDOI

Crack problems in fgm layers under thermal stresses

TL;DR: In this article, an unconstrained elastic layer under statically self-equilibrating thermal or residual stresses is considered, where the layer is assumed to be a functionally graded material (FGM), meaning that its thermo-mechanical properties are continuous functions of the thickness coordinate.
Journal ArticleDOI

The interface crack problem for a nonhomogeneous coating bonded to a homogeneous substrate

TL;DR: In this paper, the debonding problem for a composite layer that consists of a homogeneous substrate and a non-homogeneous coating is considered, and the main variables in the problem are two dimensionless length parameters and nonhmogeneity constant.
Journal ArticleDOI

Cracks in functionally graded materials

TL;DR: In this paper, failure of thermal barrier coatings (TBCs) under cyclic surface heating by laser irradiation is modeled on the basis of fracture mechanics, which can be understood as an effect of progressive shrinkage due to sintering and high-temperature creep during thermal cycling, which increases the energy-release rate for vertical cracks which subsequently turn into delamination cracks.
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