Cracking in coating–substrate composites with multi-layered and FGM coatings

Chi, Shyang-Ho; Chung, Yen-Ling

doi:10.1016/s0013-7944(02)00114-5

Cited by 80 publications

(38 citation statements)

References 28 publications

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“…Once the temperature field in Laplace space is found, it is introduced to the equations of motion (15) to determine the displacement and stress fields. To this end, we first write the equations of motion (15) and the boundary conditions (16) in Laplace space by means of the Laplace transform, then the Fourier transform with respect to X coordinate is applied to these equations such that a non-linear ordinary differential equation system in Y-coordinate can be obtained in Fourier-Laplace space.…”

Section: Displacement and Stress Fieldsmentioning

confidence: 99%

“…To this end, we first write the equations of motion (15) and the boundary conditions (16) in Laplace space by means of the Laplace transform, then the Fourier transform with respect to X coordinate is applied to these equations such that a non-linear ordinary differential equation system in Y-coordinate can be obtained in Fourier-Laplace space. These differential equations are then resolved by using appropriate numerical methods.…”

Section: Displacement and Stress Fieldsmentioning

confidence: 99%

“…In recent years, increasing investigations have been devoted to solve the crack problems under thermal loading in advanced materials [10][11][12][13][14][15][16][17]. However, in most of the models solving the temperature fields and stress fields, non-Fourier effect and the inertia effect are often be neglected due to their complexity.…”

Section: Introductionmentioning

confidence: 99%

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Inertia effect analysis of a half‐plane with an induced crack under thermal loading using hyperbolic heat conduction

Abdelmoula

et al. 2015

Z Angew Math Mech

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This paper considers the crack problem for a semi-infinite plate subjected to a thermal shock by using hyperbolic heat conduction equations and equations of motion. The Laplace transform and Fourier transform are used to reduce the problem to a system of singular integral equations which are solved numerically. Numerical results are presented illustrating the influence of non-Fourier effect and inertia effect on the stress intensity factor and normalized crack opening displacements. The results show that the stress intensity factors have higher amplitude and an oscillating feature comparing to those obtained under the conventional Fourier thermal conduction condition and quasi-static hypothesis. These results can help understand the crack behaviors of advanced materials under thermal impact loading.

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Section: Displacement and Stress Fieldsmentioning

confidence: 99%

Section: Displacement and Stress Fieldsmentioning

confidence: 99%

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Inertia effect analysis of a half‐plane with an induced crack under thermal loading using hyperbolic heat conduction

Abdelmoula

et al. 2015

Z Angew Math Mech

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“…Assume that the FGM plate is subjected to the distributed loads q x , q y and q z along the x, y and z directions. Then the equilibrium equations of the FGM plate are (see [Chi and Chung 2003])…”

Section: Governing Equationsmentioning

confidence: 99%

“…Many researchers have been working toward an understanding of the material constituent [Chi and Chung 2002;Bao and Wang 1995;Suresh and Mortensen 1998], fracture mechanics [Chi and Chung 2003;Jin and Noda 1994;Jin and Batra 1996;Delale and Erdogan 1983;Gu and Asaro 1997;Cai and Bao 1998;Jin and Paulino 2001;Erdogan and Wu 1996;Erdogan and Chen 1998], and processing of FGMs [Kwon and Crimp 1997;Kesler et al 1997].…”

Section: Introductionmentioning

confidence: 99%

The flexibility of functionally graded material plates subjected to uniform loads

Chung

Chen

2007

JOMMS

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We analyze functionally graded material (FGM) plates with two opposite edges simply supported and the other two edges free subjected to a uniform load. Even though an FGM plate is a kind of composite material, if the Young's modulus of the FGM plates varies along the thickness direction and the Poisson's ratio is constant in the whole FGM plate, the bending and in-plane problems in FGM plates under transverse load only are uncoupled. Therefore, the analytical solution to the bending problem of FGM plates is obtained in this study by Fourier series expansions, which agrees very well with a finite element calculation. Results show that the maximum tensile stresses are located at the bottom of the FGM plates. However, the maximum compressive stresses move to the inside of the FGM plates. The coefficients A 11 , B 11 , C 11 defined in this paper relate to the area and to the first and the second moments of the area under the E(z) curve from z = −h/2 to z = h/2. The parameter Q 11 , representing the location of the centroid of the area under the E(z) curve, is related to the location of the neutral surfaces, and S 11 represents the bending stiffness of the FGM plates.

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Multiscale Modelling of Damage and Fracture Processes in Composite Materials

Sadowski¹

2005

CISM International Centre for Mechanical Sciences

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Cracking in coating–substrate composites with multi-layered and FGM coatings

Cited by 80 publications

References 28 publications

Inertia effect analysis of a half‐plane with an induced crack under thermal loading using hyperbolic heat conduction

Inertia effect analysis of a half‐plane with an induced crack under thermal loading using hyperbolic heat conduction

The flexibility of functionally graded material plates subjected to uniform loads

Multiscale Modelling of Damage and Fracture Processes in Composite Materials

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