Transient analysis for torsional impact of multiple axisymmetric cracks in the functionally graded orthotropic medium

Rabieifar, Arman; Pourseifi, Mehdi; Derili, Hesameldien

doi:10.1093/imamat/hxx038

Cited by 2 publications

(3 citation statements)

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“…The stress fields at the tips of the annular and penny-shaped interface cracks behave like 1 / r , where r is the distance from the crack tips (Sneddon and Lowengrub, 1969). Consequently, the dislocation densities for each kind of the interface cracks are taken to be as (Rabieifar et al , 2017): …”

Section: Axisymmetric Interface Cracks Formulationmentioning

confidence: 99%

“…In Equation (26), δ ij is the Kronecker δ . The stress intensity factors for the penny-shaped and annular interface cracks are (Rabieifar et al , 2017): where subscripts L and R designate as inner and outer tips of annular interface crack, respectively.…”

Section: Axisymmetric Interface Cracks Formulationmentioning

confidence: 99%

“…In Equation ( 26), δ ij is the Kronecker δ. The stress intensity factors for the penny-shaped and annular interface cracks are (Rabieifar et al, 2017):…”

mentioning

confidence: 99%

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Stress intensity factors of multiple axisymmetric interface cracks in an isotropic layer with FGM coating under torsional loading

Tavakoli

Pourseifi

Rezaei

2019

MMMS

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Purpose The purpose of this paper is to provide a theoretical analysis of the fracture behavior of multiple axisymmetric interface cracks between a homogeneous isotropic layer and its functionally graded material (FGM) coating under torsional loading. Design/methodology/approach In this paper, the authors employ the distributed dislocation technique to the stress analysis, an FGM coating-substrate system under torsional loading with multiple axisymmetric cracks consist of annular and penny-shaped cracks. First, with the aid of the Hankel transform, the stress ﬁelds in the homogeneous layer and its FGM coating are obtained. The problem is then reduced to a set of singular integral equations with a Cauchy-type singularity. Unknown dislocation density is achieved by numerical solution of these integral equations which are employed to calculate the SIFs. Findings From the numerical results, the following key points were observed: first, for two types of the axisymmetric interface cracks, the SIFs decrease with growing in the values of the non-homogeneity. Second, the SIFs increase with increases in interface crack length. Third, the magnitude of the SIFs decreases with increases in the FGM coating thickness. Fourth, the interaction between cracks is an important factor affecting the SIFs of crack tips. Originality/value New analytical dislocation solution in an FGM coating-substrate system is developed.

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