The stress intensity factor Green's function for a crack interacting with a circular inclusion

Li, Rongshun; Chudnovsky, A.

doi:10.1007/bf00019602

Cited by 13 publications

(4 citation statements)

References 15 publications

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“…The use of Green's functions is discussed by several investigators, e.g. Synder and Cruse (1975), Rudolphi (1985), Cruse and Raveendra (1988), Li and Chudnovsky (1994), Melnikov (1995), Chen and Hasebe (1997), etc.…”

Section: Unique Integral Formulations To Overcome Bie Degeneracymentioning

confidence: 99%

A review of SIF evaluation and modelling of singularities in BEM

Mukhopadhyay

Maiti

Kakodkar

2000

Computational Mechanics

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Various boundary element method (BEM) based approaches to solve crack problems are discussed. The displacement method, J-integral method and the modi®ed crack closure integral (MCCI) method for the evaluation of the stress intensity factors (SIFs) are reviewed. Effects of partial and total modelling of singularities on the accuracy of the results have been presented. Elements capable of partial and total modelling of the wellknown square root singularities, variable order singularities, neighbouring variable order singularities, etc., are also reviewed. Case studies are included to illustrate the effectiveness of the various methods of calculation of the SIFs and the performance of the special elements.

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Section: Unique Integral Formulations To Overcome Bie Degeneracymentioning

confidence: 99%

A review of SIF evaluation and modelling of singularities in BEM

Mukhopadhyay

Maiti

Kakodkar

2000

Computational Mechanics

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“…It was observed that for relatively flat elliptical inclusions and radially oriented crack with respect to the inclusion, as the crack orients itself towards the flat side of the inclusion the crack tip stress intensity decreases drastically. Li and Chudnovsky [8,9] performed energy analysis and examined effects of an elastic inclusion on energy release rate (ERR) for crack extension. They studied variations due to inclusion translation, rotation and expansion with respect to the crack tip and showed that a crack approaching a soft inclusion accelerated while a crack approaching a stiff inclusion slowed down.…”

Section: Introductionmentioning

confidence: 99%

A Study of Crack–inclusion Interactions and Matrix–inclusion Debonding Using Moiré Interferometry and Finite Element Method

Savalia

Tippur

2007

Exp Mech

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Failure behavior of composite materials in general and particulate composites in particular is intimately linked to interactions between a matrix crack and a second phase inclusion. In this work, surface deformations are optically mapped in the vicinity of a crack-inclusion pair using moiré interferometry. Edge cracked epoxy beams, each with a symmetrically positioned cylindrical glass inclusion ahead of the tip, are used to simulate a compliant matrix crack interacting with a stiff inclusion. Processes involving microelectronic fabrication techniques are developed for creating linear gratings in the crack-inclusion vicinity. The debond evolution between the inclusionmatrix pair is successfully mapped by recording crack opening displacements under quasi-static loading conditions. The surface deformations are analyzed to study evolution of strain fields due to crack-inclusion interactions. A numerical model based on experimental observations is also developed to simulate debonding of the inclusion from the matrix. An element stiffness deactivation method in conjunction with critical radial stress criterion is successfully demonstrated using finite element method. The proposed methodology is shown to capture the experimentally observed debonding process well.

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“…A Green's function for a crack interacting with an inclusion has also been developed by Li and Chudnovsky (1994). A summary of these and other BIE fracture mechanics advances is given in Cruse (1996).…”

Section: Introductionmentioning

confidence: 99%