Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations

Hamzah, Khairum; Long, Nik Mohd Asri Nik; Senu, Norazak; Eshkuvatov, Zainidin K.

doi:10.1016/j.apm.2019.04.002

Cited by 15 publications

(9 citation statements)

References 24 publications

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“…Based on the 3D virtual crack closure technology (3D-VCCT), Yao et al [26] studied the effect of auxiliary crack location and size on the stress intensity factor of the leading edge of the main crack. Hamzah et al [27] investigated the multi-crack interactions in bonded dissimilar materials, and the results showed that the crack stress intensity factor depends largely on the elastic constants ratio, crack size, crack spacing and size, and the crack stress intensity factor, crack geometry, the distance between each crack, and the distance between the crack and the boundary. It is found from the above review that there are extensive examinations on the factors affecting the interactions between flat plate cracks, and as a result, formulas or models are proposed to quantitatively characterize the interactions between flat plate cracks.…”

Section: Introductionmentioning

confidence: 99%

Calculation of Stress Intensity Factor for Annular Double Cracks on Inner Surface of Pipeline

Cui,

Li,

et al. 2024

Coatings

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Cracks in engineered pipelines often appear in the form of multiple cracks or crack clusters with interactions between them. It is important to study the interaction between cracks if the pipeline crack cluster is to be evaluated in terms of equivalence and safety assessment. In this paper, based on FRANC3D crack analysis software, the interaction between circumferential parallel double cracks on the inner surface of pipelines was investigated, the factors affecting the interaction were examined, and the empirical equations for calculating the stress intensity factor (SIF) of double cracks was proposed. The results show that if there is no bias between the double cracks, the crack leading edge is shielded, but if there is offset between the double cracks, the crack leading edge is subjected to different interactions at different locations. The distal end of the cracks is generally strengthened, while the proximal end of the cracks is probably more shielded. The interaction effects between cracks are dependent on their relative positions rather than the pipe size or concerned crack size. According to the numerical simulation, boundaries for shielding or enhancing interactions were obtained, and the stress intensity factor calculation equations were fitted.

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Section: Introductionmentioning

confidence: 99%

Calculation of Stress Intensity Factor for Annular Double Cracks on Inner Surface of Pipeline

Cui,

Li,

et al. 2024

Coatings

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“…Huang et al [9] developed a system to evaluate the mixed-mode dynamic SIFs for an interface crack in bi-materials with an inclusion close to the crack tip under an impact loading. Hamzah et al [6] calculated the dimensionless SIFs for multiple cracks in the upper plate of bi-materials subjected to shear stress by using hypersingular integral equations (HSIEs) and modified complex potential (MCP) function.…”

Section: Introductionmentioning

confidence: 99%

Effect of Mechanical Loadings on Two Unequal Slanted Cracks Length in Bi-Materials Plate

Hamzah¹,

Long²

2022

MJMS

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Although a lot of crack problems in bi-materials plate were previously treated, few solutions are available under mechanical loadings, arbitrary crack lengths and material combinations. In this paper the dimensionless stress intensity factors (SIFs) of two slanted cracks in the upper plate of bi-materials are considered under mechanical loadings with varying the crack length and material combinations systematically. In order to calculate the dimensionless SIFs accurately, the hypersingular integral equations (HSIEs) was formulated by using the modified complex potentials (MCP) function. The details numerical results of the dimensionless SIFs are given in tabular form and graphical presentations. Comparisons with the existing exact solutions show that the numerical results in this paper have high accuracy. Our results are described with clarifying the effect of the mechanical loadings, bi-elastic constant ratio and element size of cracks on the dimensionless SIFs.

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“…The result showed that the proposed method was efficient especially for the scaled thin layers in the application of practical hydraulic fracturing simulations. Hamzah et al [15,16] used the HSIEs to calculate the dimensionless SIFs for multiple cracks in the upper plane and both upper and lower planes of dissimilar materials subjected to shear stress. They expanded their study to analyze the behavior of dimensionless SIFs under various mechanical loadings, however it focused on a single crack in the upper plane of dissimilar materials [17].…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution for Crack Phenomenon in Dissimilar Materials under Various Mechanical Loadings

et al. 2021

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A new mathematical model is developed for the analytical study of two cracks in the upper plane of dissimilar materials under various mechanical loadings, i.e., shear, normal, tearing and mixed stresses with different geometry conditions. This problem is developed into a new mathematical model of hypersingular integral equations (HSIEs) by using the modified complex potentials (MCPs) function and the continuity conditions of the resultant force and displacement with the crack opening displacement (COD) function as the unknown. The newly obtained mathematical model of HSIEs are solved numerically by utilizing the appropriate quadrature formulas. Numerical computations and graphical demonstrations are carried out to observe the profound effect of the elastic constants ratio, mode of stresses and geometry conditions on the dimensionless stress intensity factors (SIFs) at the crack tips.

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Stress intensity factor for multiple cracks in bonded dissimilar materials using hypersingular integral equations

Cited by 15 publications

References 24 publications

Calculation of Stress Intensity Factor for Annular Double Cracks on Inner Surface of Pipeline

Calculation of Stress Intensity Factor for Annular Double Cracks on Inner Surface of Pipeline

Effect of Mechanical Loadings on Two Unequal Slanted Cracks Length in Bi-Materials Plate

Numerical Solution for Crack Phenomenon in Dissimilar Materials under Various Mechanical Loadings

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