Dynamic stress intensity factors of an interfacial crack in orthotropic elastic strips under impact loading conditions

Singh, Akanksha; Mishra, Prashant; Das, S.

doi:10.1002/zamm.201800143

Cited by 5 publications

(2 citation statements)

References 26 publications

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“…Recently, Singh et al. [23] have calculated the analytical expressions of SIFs of an interfacial crack in an orthotropic strip under the normal and shear impact loadings and provided the peak values of dynamic SIFs. In 2016, Itou [21] has determined the dynamic SIFs of three collinear cracks in an orthotropic medium subjected to time‐harmonic disturbance.…”

Section: Introductionmentioning

confidence: 99%

Study of collinear cracks in a composite medium subjected to time‐harmonic wave disturbance

2021

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The article deals with the collinear Griffith cracks under the time‐harmonic waves, situated in an orthotropic strip sandwiched between two identical half‐planes. The outer cracks are considered to be situated on either sides of the central crack. The mathematical model is solved by applying the Fourier transform and then the unknown functions have been determined using Schmidt method. The approximate analytical expressions of the stress intensity factors (SIFs) have been obtained at the tips of the cracks. The values of the SIFs for the considered composite with Graphite epoxy material as the strip and E‐glass epoxy as the half‐plane are computed numerically for different crack lengths and wave numbers, and the obtained results are displayed graphically. The salient feature of the article is the pictorial presentations of the possibilities of arrest of the central crack due to the presence of outer cracks through finding the stress magnification factor for different particular cases.

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Section: Introductionmentioning

confidence: 99%

Study of collinear cracks in a composite medium subjected to time‐harmonic wave disturbance

2021

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“…Ren et al (2012) studied the transient response of an annular interface crack between dissimilar piezoelectric layers under mechanical and electrical impacts. Singh et al (2019) analyzed the dynamic stress intensity factor of a finite crack with finite depth under impact response and in-plane shear loadings located at the interface of two orthotropic semi-infinite strips with different elastic properties. Xu et al (2009) studied a mixed-mode interface crack in three-dimensional biomaterials by the singular integral equation on the basis of the body force method.…”

Section: Introductionmentioning

confidence: 99%

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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Semi‐infinite moving crack in an orthotropic strip sandwiched between two identical half planes

et al. 2019

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The problem of semi‐infinite moving crack situated in a strip of a linear elastic orthotropic material sandwiched between two identical half planes has been considered. The assumed boundary value problem has been solved to convert it into the standard Wiener‐Hopf equation by using Fourier transform technique. Further the Wiener‐Hopf equation has been solved to obtain analytical expression for stress intensity factor and crack opening displacement at the tip of the crack for plane stress and plane strain cases. The effects of elastic material constants and propagation of the crack tip on stress intensity factor and crack opening displacement at the tip of crack have been displayed graphically for various particular cases for a combination of orthotropic materials.

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Dynamic stress intensity factors of an interfacial crack in orthotropic elastic strips under impact loading conditions

Cited by 5 publications

References 26 publications

Study of collinear cracks in a composite medium subjected to time‐harmonic wave disturbance

Study of collinear cracks in a composite medium subjected to time‐harmonic wave disturbance

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

Semi‐infinite moving crack in an orthotropic strip sandwiched between two identical half planes

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