Moving crack for functionally grated material in an infinite length strip under antiplane shear

Bi, Xian Shun; Cheng, Jin; Chen, X.L

doi:10.1016/s0167-8442(02)00140-4

Cited by 29 publications

(6 citation statements)

References 9 publications

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“…The scattering problem of an elastic wave by two collinear cracks in a functionally graded interlayer bonded to a dissimilar half-plane under anti-plane shear loading was studied by Ma et al [9]. The dynamic stress intensity factor and strain energy density for a moving crack in an infinite strip of FGM subjected to anti-plane shear were determined by Bi et al [10]. Li [11] solved the dynamic problem of an impermeable crack of length 2a propagating in a piezoelectric strip.…”

Section: Introductionmentioning

confidence: 99%

Dynamic fracture analysis in an orthotropic half-plane with FGM coating containing several moving cracks

2014

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This paper considers several finite moving cracks in an orthotropic half-plane with non-homogenous coating subjected to anti-plane deformation. The distributed dislocation technique is used to carry out stress analysis in the medium containing moving cracks under anti-plane loading. By utilizing the complex Fourier transformation technique, the stress fields are obtained for an orthotropic half-plane containing a screw dislocation. The Galilean transformation is employed to express the wave equations in terms of coordinates that are attached to the moving crack. Stress fields are derived in the medium under anti-plane point forces. These solutions are Cauchy singular at the location of dislocations and the point of application of forces. The solution is employed to derive integral equations for a half-plane weakened by moving cracks. Numerical results are provided to show the effects of material properties, the crack length and the speed of the crack propagating upon the stress intensity factor.

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Section: Introductionmentioning

confidence: 99%

Dynamic fracture analysis in an orthotropic half-plane with FGM coating containing several moving cracks

2014

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“…Dynamic propagation of a finite crack in FGMs was analyzed by Meguid et al [22]. Bi et al [23] investigated the Yoffe crack problem in an infinite strip of FGMs subjected to the anti-plane shear. Ma et al [24] studied the crack propagating problem in a functionally graded strip by use of the Schmidt method.…”

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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“…The Yoffe‐type crack problem in an infinite strip of FGMs subjected to anti‐plane shear was investigated in Ref. [15] using Copson's method that is similar in Ref. [16] using Schmidt method, but it was not concerned with interface crack problem.…”

Section: Introductionmentioning

confidence: 99%

Fracture dynamics analysis of mode III interface moving crack on functionally graded coating

Chen

Wang

et al. 2010

Fatigue &Amp; Fracture of Engineering Materials &Amp; Structures

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A B S T R A C TThe interface moving crack between the functionally graded coating and infinite substrate structure with free boundary is investigated in this paper. By application of the interface bonding conditions of the two media, all the quantities have been represented by means of a single unknown function. With the help of the exponent model of the shear modulus and density, the dual integral equation of moving crack problem is obtained by Fourier transform. The displacement is expanded into series form using Jacob Polynomial, and then the semi-analytic solution of dynamic stress intensity factor is derived by Schmidt method. Dynamic stress intensity factor is influenced by those parameters such as crack velocity, graded parameter and coating height.

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Moving crack for functionally grated material in an infinite length strip under antiplane shear

Cited by 29 publications

References 9 publications

Dynamic fracture analysis in an orthotropic half-plane with FGM coating containing several moving cracks

Dynamic fracture analysis in an orthotropic half-plane with FGM coating containing several moving cracks

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

Fracture dynamics analysis of mode III interface moving crack on functionally graded coating

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