A subsurface eccentric crack in a functionally graded coating layer on the layered half-space under an anti-plane shear impact load

Shul, Chang Won; Lee, Kang Yong

doi:10.1016/s0020-7683(02)00016-1

Cited by 16 publications

(3 citation statements)

References 16 publications

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“…The effects of the geometric constants and material properties were discussed. Shul and Lee [5] also considered the dynamic response of a subsurface eccentric crack in a functionally graded coating layer on the layered half-space under an anti-plane shear impact loading. The nonhomogeneous parameter, geometric constants and the material properties were investigated on the normalized stress intensity factor (SIF).…”

Section: Introductionmentioning

confidence: 99%

Transient response of cracked nonhomogeneous substrate with piezoelectric coating by dislocation method

Ershad

Bagheri

Noroozi

2018

Mathematics and Mechanics of Solids

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The transient response of a functionally graded material (FGM) orthotropic strip with a piezoelectric coating weakened by multiple cracks is investigated. The system is subjected to out-of-plane mechanical and in-plane electrical loading. The properties of the nonhomogeneous substrate are assumed to vary exponentially along the thickness and the energy dissipation is modeled by viscous damping. In this study, the rate of the gradual change of the shear moduli, mass density, and damping constant are assumed to be same. At first, the transient response of a Volterra-type dislocation in an FGM orthotropic strip is obtained analytically. Imposing a distributed dislocation density on the crack surface and using the Fourier and Laplace integral transforms, the problem is reduced to a system of singular integral equations for a substrate weakened by multiple cracks in the form of Cauchy singularity; which are solved numerically to obtain the dynamic stress intensity factors at the crack tips. Finally, the effects of the geometrical parameters, material properties, viscous damping and cracks arrangement on the dynamic fracture behavior of the interacting cracks are studied.

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Section: Introductionmentioning

confidence: 99%

Transient response of cracked nonhomogeneous substrate with piezoelectric coating by dislocation method

Ershad

Bagheri

Noroozi

2018

Mathematics and Mechanics of Solids

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“…Shul and Lee [40] studied the subsurface eccentric crack located in a functionally graded coating on a layered half-space under the anti-plane shear impact load and presented the numerical solution of the resulting second-kind Fredholm integral equation. Guo et al [41] analyzed the dynamic response of a cracked functionally graded coating layer on a homogeneous half-space under the action of inplane impact load.…”

Section: Introductionmentioning

confidence: 99%

The frictionless axial interaction of a rigid disk with a two-layered functionally graded transversely isotropic medium

Shahmohamadi

Khojasteh

Rahimian

et al. 2016

Mathematics and Mechanics of Solids

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A rigorous formulation is presented for the frictionless axisymmetric interaction of a rigid disk with a two-layered inhomogeneous medium. The materials are considered to be linearly elastic transversely isotropic materials and the exponential variation of properties along the depth of each layer is assumed in order to model the effect of inhomogeneity. The disk is considered to be at the top of the coating layer or embedded at the interface of the two media. By satisfying the boundary conditions, the problem leads to a dual integral equation and is reducible to a Fredholm integral equation of the second kind which is solved numerically. The numerical solutions survey the effect of material inhomogeneity through two special cases: a functionally graded coating on a homogeneous transversely isotropic half-space and a homogeneous transversely isotropic coating on an inhomogeneous half-space. The accuracy of the numerical solutions is verified by comparison with the corresponding solution for homogeneous material in the literature.

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“…The dynamic stress intensity factors for a crack in a graded material between dissimilar half-planes due to the general time-dependent antiplane shear loads were evaluated by Babaei and Lukasiewicz [8]. Subsequently, the analysis of a crack in a graded coating subjected to antiplane shear impact was conducted by Shul and Lee [9] and the torsional impact behavior of a penny-shaped interface crack in the presence of a graded interlayer in bonded half-spaces was estimated by Li et al [10]. Besides, the mode I impact of an internally cracked nonhomogeneous strip was considered by Chen et al [11] and the dynamic response of a mode III crack perpendicular to the graded interfacial zone in bonded materials was studied by Kim and Choi [12].…”

Section: Introductionmentioning

confidence: 99%

Effects of graded properties on the impact response of an interface crack in a coating/substrate system subjected to antiplane deformation

Lee¹,

Choi²

2006

Z. angew. Math. Mech.

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Key words coating/substrate system, interface crack, functionally graded materials, dynamic stress intensity factors MSC (2000) 74B05, 74G70, 74E05, 74M20, 74R10, 45E05An elastodynamic analysis of an interface crack in coated media with functionally graded properties is performed under the condition of antiplane shear impact. The graded material exists as a nonhomogeneous interlayer between the dissimilar, homogeneous phases of the coating/substrate system or as a nonhomogeneous coating deposited on the substrate. The material nonhomogeneity is represented in terms of power-law variations of shear modulus and mass density. Based on the use of the integral transform technique, formulation of the transient crack problem is reduced to having to solve a Cauchytype singular integral equation in the Laplace transform domain. Via the inversion of the Laplace transforms, the values of dynamic mode III stress intensity factors are obtained as a function of time. In the numerical results, the effects of material and geometric parameters of the coating/substrate system with the graded, nonhomogeneous constituent are illustrated, addressing the dynamic load transfer and overshoot characteristics of the transient crack-tip behavior. Furthermore, a comparison is made with the dynamic behavior of the interface crack in a discretely coated material system.

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A subsurface eccentric crack in a functionally graded coating layer on the layered half-space under an anti-plane shear impact load

Cited by 16 publications

References 16 publications

Transient response of cracked nonhomogeneous substrate with piezoelectric coating by dislocation method

Transient response of cracked nonhomogeneous substrate with piezoelectric coating by dislocation method

The frictionless axial interaction of a rigid disk with a two-layered functionally graded transversely isotropic medium

Effects of graded properties on the impact response of an interface crack in a coating/substrate system subjected to antiplane deformation

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