Multiple penny-shaped cracks interaction in a finite body and their effect on stress intensity factor

D. K L Tsang; S. O. Oyadiji; A. Y T Leung

doi:10.1016/S0013-7944(02)00206-0

Multiple penny-shaped cracks interaction in a finite body and their effect on stress intensity factor

D. K L Tsang, S. O. Oyadiji, A. Y T Leung

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we investigate the stress intensity factors (SIFs) of multiple penny-shaped cracks in an elastic solid cylinder under mode I (axial tension) loading. The cracks are located symmetrically and in parallel to one another in the isotropic cylinder. The fractal-like finite element method (FFEM) is employed to study the interaction of multiple cracks and to demonstrate the efficiency of the FFEM for multiple crack problems. The results show that the SIF values of the inner cracks, which are denoted as crack number 1,2,3,...,(n+1)/2 of a stack of n parallel cracks, are lower than the SIF values of a single crack by between 16% and 48%. Also, the outermost crack, that is the crack closest to the boundaries of a multiple cracked body, has the highest SIF values and is, therefore, likely to fail first. © 2002 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	2199-2214
Number of pages	15
Journal	Engineering Fracture Mechanics
Volume	70
Issue number	15
DOIs	https://doi.org/10.1016/S0013-7944(02)00206-0
Publication status	Published - Oct 2003

Keywords

Finite element method
Fracture mechanics
Stress intensity factor

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10.1016/S0013-7944(02)00206-0

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title = "Multiple penny-shaped cracks interaction in a finite body and their effect on stress intensity factor",

abstract = "In this paper we investigate the stress intensity factors (SIFs) of multiple penny-shaped cracks in an elastic solid cylinder under mode I (axial tension) loading. The cracks are located symmetrically and in parallel to one another in the isotropic cylinder. The fractal-like finite element method (FFEM) is employed to study the interaction of multiple cracks and to demonstrate the efficiency of the FFEM for multiple crack problems. The results show that the SIF values of the inner cracks, which are denoted as crack number 1,2,3,...,(n+1)/2 of a stack of n parallel cracks, are lower than the SIF values of a single crack by between 16% and 48%. Also, the outermost crack, that is the crack closest to the boundaries of a multiple cracked body, has the highest SIF values and is, therefore, likely to fail first. {\textcopyright} 2002 Elsevier Ltd. All rights reserved.",

keywords = "Finite element method, Fracture mechanics, Stress intensity factor",

author = "Tsang, {D. K L} and Oyadiji, {S. O.} and Leung, {A. Y T}",

year = "2003",

month = oct,

doi = "10.1016/S0013-7944(02)00206-0",

language = "English",

volume = "70",

pages = "2199--2214",

journal = "Engineering Fracture Mechanics",

publisher = "Elsevier BV",

number = "15",

}

TY - JOUR

T1 - Multiple penny-shaped cracks interaction in a finite body and their effect on stress intensity factor

AU - Tsang, D. K L

AU - Oyadiji, S. O.

AU - Leung, A. Y T

PY - 2003/10

Y1 - 2003/10

N2 - In this paper we investigate the stress intensity factors (SIFs) of multiple penny-shaped cracks in an elastic solid cylinder under mode I (axial tension) loading. The cracks are located symmetrically and in parallel to one another in the isotropic cylinder. The fractal-like finite element method (FFEM) is employed to study the interaction of multiple cracks and to demonstrate the efficiency of the FFEM for multiple crack problems. The results show that the SIF values of the inner cracks, which are denoted as crack number 1,2,3,...,(n+1)/2 of a stack of n parallel cracks, are lower than the SIF values of a single crack by between 16% and 48%. Also, the outermost crack, that is the crack closest to the boundaries of a multiple cracked body, has the highest SIF values and is, therefore, likely to fail first. © 2002 Elsevier Ltd. All rights reserved.

AB - In this paper we investigate the stress intensity factors (SIFs) of multiple penny-shaped cracks in an elastic solid cylinder under mode I (axial tension) loading. The cracks are located symmetrically and in parallel to one another in the isotropic cylinder. The fractal-like finite element method (FFEM) is employed to study the interaction of multiple cracks and to demonstrate the efficiency of the FFEM for multiple crack problems. The results show that the SIF values of the inner cracks, which are denoted as crack number 1,2,3,...,(n+1)/2 of a stack of n parallel cracks, are lower than the SIF values of a single crack by between 16% and 48%. Also, the outermost crack, that is the crack closest to the boundaries of a multiple cracked body, has the highest SIF values and is, therefore, likely to fail first. © 2002 Elsevier Ltd. All rights reserved.

KW - Finite element method

KW - Fracture mechanics

KW - Stress intensity factor

U2 - 10.1016/S0013-7944(02)00206-0

DO - 10.1016/S0013-7944(02)00206-0

M3 - Article

VL - 70

SP - 2199

EP - 2214

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

IS - 15

ER -

Multiple penny-shaped cracks interaction in a finite body and their effect on stress intensity factor

Abstract

Keywords

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