Anti-plane problem of periodic interface cracks in a functionally graded coating-substrate structure

Ding, Shenghu; Xing, Li

doi:10.1007/s10704-008-9302-7

Cited by 26 publications

(24 citation statements)

References 24 publications

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“…The results favorably match those of Ding and Li [9]. The applicability of the methodology developed here is illustrated by solving some new problems.…”

Section: Resultssupporting

confidence: 68%

“…The main results of this study are the stress intensity factors calculated for different non- Li [9]. The second example deals with periodic interface cracks with three different distances between cracks centers, Fig.…”

Section: Resultsmentioning

confidence: 99%

“…For example, Lü et al [8] have investigated the asymmetrical dynamic propagation problems of mode III interface crack under the condition of point loads and unit-step loads by the application of the theory of complex functions. The problem of a functionally graded coating bonded to an elastic substrate with interface crack subject to anti-plane loading was analyzed by Ding and Li [9]. In this investigation, they studied the influence of the interaction between the periodic arrays of interface cracks on stress intensity factors.…”

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confidence: 99%

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Mode III fracture analysis of a non-homogeneous layer bonded to an elastic half-plane weakened by multiple interface cracks

2017

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In this paper, the mode III crack problem of a non-homogenous layer bonded to an elastic half-plane is considered. It is assumed that the half plane is homogeneous and the layer is non-homogeneous in which the elastic properties are continuous throughout the layer. The stress field in a non-homogeneous layer and in an elastic half plane with Volterra type screw dislocation is obtained. Fourier transforms was applied to governing equations to derive a system of singular integral equations with simple Cauchy kernel. Then, the integral equations are solved numerically by converting to a system of linear algebraic equations and by using a collocation technique. The results given include the effect of the non-homogeneity parameters, interaction between the multiple cracks and distance of the cracks on the stress intensity factors for the purpose of gaining better understanding of the mechanical behavior of non-homogenous coating.

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“…The results favorably match those of Ding and Li [9]. The applicability of the methodology developed here is illustrated by solving some new problems.…”

Section: Resultssupporting

confidence: 68%

Section: Resultsmentioning

confidence: 99%

mentioning

confidence: 99%

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Mode III fracture analysis of a non-homogeneous layer bonded to an elastic half-plane weakened by multiple interface cracks

2017

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“…Research trends and concepts of the interface crack problems (especially conditions of interface connection) until now were also specified in detail by Li et al [32,33]. The anti-plane problem of periodic interface cracks in a functionally graded coating-substrate structure was analyzed by Ding and Xing [34].…”

Section: Introductionmentioning

confidence: 99%

Dynamic propagation of a weak-discontinuous interface crack between two dissimilar functionally graded layers under anti-plane shear

Shin

Lee

2011

J Mech Sci Technol

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The dynamic propagation of an interface crack between two functionally graded material (FGM) layers under anti-plane shear is analyzed using the integral transform method. The properties of the FGM layers vary continuously along their thicknesses. The properties of the two FGM layers vary and the two layers are connected weak-discontinuously. A constant velocity Yoffe-type moving crack is considered. The Fourier transform is used to reduce the problem to a dual integral equation, which is then expressed to a Fredholm integral equation of the second kind. Numerical values on the dynamic energy release rate (DERR) are presented for the FGM to show the effect of the gradient of material properties, crack moving velocity, and thickness of FGM layers. The following are helpful to increase resistance to interface crack propagation in FGMs: a) increasing the gradient of material properties, b) an increase of shear modulus and density from the interface to the upper and lower free surface, and c) increasing the thickness of the FGM layer. The DERR increases or decreases with increase of the crack moving velocity.

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“…Wang et al [10] analyzed the thermal shock strengths of a plate of a functionally graded material when the plate is suddenly exposed to an environmental medium of different temperature. Ding and Li [11] dealt with the anti-plane problem of periodic interface cracks in a functionally graded coating-substrate structure. Ying et al [12] gave the two-dimensional elasticity solutions for functionally graded beams resting on elastic foundations.…”

Section: Introductionmentioning

confidence: 99%

Stress analysis of a functional graded material plate with a circular hole

2009

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This paper is to study the two-dimensional stress distribution of a functional graded material plate (FGMP) with a circular hole under arbitrary constant loads. With using the method of piece-wise homogeneous layers, the stress distribution of the functional graded material plate having radial arbitrary elastic properties is derived based on the theory of the complex variable functions. As examples, numerical results are presented for the FGMPs having given radial Young's modulus or Poisson's ratio. It is shown that the stress is greatly reduced as the radial Young's modulus increased, but it is less influenced by the variation of the Poisson's ratio. Moreover, it is also found that the stress level varies when the radial Young's modulus increased in different ways. Thus, it can be concluded that the stress around the circular hole in the FGMP can be effectively reduced by choosing the proper change ways of the radial elastic properties.

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Anti-plane problem of periodic interface cracks in a functionally graded coating-substrate structure

Cited by 26 publications

References 24 publications

Mode III fracture analysis of a non-homogeneous layer bonded to an elastic half-plane weakened by multiple interface cracks

Mode III fracture analysis of a non-homogeneous layer bonded to an elastic half-plane weakened by multiple interface cracks

Dynamic propagation of a weak-discontinuous interface crack between two dissimilar functionally graded layers under anti-plane shear

Stress analysis of a functional graded material plate with a circular hole

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