A Plastic Fracture Mechanics Prediction of Fracture Instability in a Circumferentially Cracked Pipe in Bending—Part I: J-Integral Analysis

Zahoor, A.; Kanninen, M. F.

doi:10.1115/1.3263413

Cited by 82 publications

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“…The J-integral tearing modulus approach [1], although limited to small amounts of crack growth [7] has been shown to be successful in predicting stable crack growth and ductile fracture instability [8][9][10][11][12][13]. The engineering applications have also been developed by EPRI [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

“…The engineering applications have also been developed by EPRI [14][15][16]. The experimental verification in 3PB specimen and CT specimen geometries and circumferentially cracked pipe in bending were usually made in test machines with large linear compliance of the system (spring+testing machine+uncracked specimen) [8][9][10][11][12]. The lack of experiments in test machines with small linear compliance of the system (large stiffness of test system) means the experiment verifiations lack integrity.…”

Section: Introductionmentioning

confidence: 99%

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Investigations of fracture instability in crack growth for several metals-Part I: Experimental results

Yin

Liu

1995

Int J Fract

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The tests were performed using three-points bending specimens (3PB specimens) and compact specimens (CT specimens), an extensometer fixture surrounding the CT specimens was used for displacement measurements. Stable, unstable crack growth and local unstable crack growth were observed, plus two types of unstable crack growth in CT specimens were observed from load--displacement curves measured by the extensometer fixture. The crack extensions were measured by key-curve method, and J-resistance curves, tearing modulus curves and local crack-opening angle curves for CT specimens were determined. The tearing modulus parameter and local crack-opening angles for prediction of crack stable growth and fracture instability were employed. Tearing instability criterion gave the incorrect conclusion for the evaluations of fracture instability in the paper, but the analysis of local crack-opening angles can give some rough estimations. At last, fractography for CT specimens was described.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Investigations of fracture instability in crack growth for several metals-Part I: Experimental results

Yin

Liu

1995

Int J Fract

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“…A ÔcÕ term was proposed by Hutchinson and Paris (1979) and later generalized by Ernst et al (1979) and Ernst and Paris (1980) to correct the J-integral to account for the crack growth. The Ôg pl Õ and ÔcÕ functions are available for limited geometry under specified loading conditions Ernst et al, 1979;Ernst and Paris, 1980;Zahoor and Kanninen, 1981;Wilkowski et al, 1981;Ernst et al, 1981;Zahoor and Norris, 1984;Rajab and Zahoor, 1990;Zhou et al, 1991). These functions have been derived from dimensional analyses that are specific to the geometry and loading conditions.…”

Section: Opening Modementioning

confidence: 99%

“…The general expression to evaluate J p from experimental data is as follows (Zahoor, 1989(Zahoor, -1991Rice et al, 1973;Ernst et al, 1979;Zahoor and Kanninen, 1981):…”

Section: Introductionmentioning

confidence: 99%

Some recent developments on integrity assessment of pipes and elbows. Part I: Theoretical investigations

Chattopadhyay

Kushwaha

Roos

2006

International Journal of Solids and Structures

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Integrity assessment of piping components is very essential for safe and reliable operation of power plants. Over the last several decades, considerable work has been done throughout the world to develop a system oriented methodology for integrity assessment of pipes and elbows, mainly for application to nuclear power plants. However, there is a scope of further development/improvement of issues, particularly for pipe bends, that are important for accurate integrity assessment of pipings. Considering this aspect, a comprehensive Component Integrity Test Program was initiated in 1998 at Reactor Safety Division (RSD) of Bhabha Atomic Research Centre (BARC), India in collaboration with MPA, Stuttgart, Germany through Indo-German bilateral project. In this program, both theoretical and experimental investigations were undertaken to address various issues related to the integrity assessment of pipes and elbows. The important results of the program are presented in this two-part paper. In the part I of the paper, the theoretical investigations are discussed. Part II will cover the experimental investigations. The theoretical investigations considered the following issues: new plastic (collapse) moment equations of defect-free elbow under combined internal pressure and inplane closing/opening moments; new plastic (collapse) moment equations of throughwall circumferentially cracked elbow, which are more accurate and closer to the test results; new Ôg pl Õ and ÔcÕ functions of pipes and elbows with various crack configurations under different loading conditions to evaluate J-R curve from test data; and the effect of deformation on the unloading compliance of TPB specimen and throughwall circumferentially cracked pipe to measure crack growth during fracture experiment. These developments would also help to study the effect of stress triaxiality in the transfer of material J-R curve from specimen to component.Nomenclature a 0 , a initial, current crack length per crack tip for throughwall crack and crack depth for partthrough crack A crack area D, D m Outer, mean diameter of pipe/elbow cross section E YoungÕs modulus F L limit load h = tR b /R 2 , elbow factor or pipe bend characteristics J, J e , J p total, elastic, plastic J-integral J app applied J-integral (J i ) SZW J-initiation toughness from stretched zone width M total applied moment M L limit moment (collectively used to define instability or plastic collapse moment) m = M/M L , normalized moment M 0 limit moment (collectively used to indicate instability or plastic collapse) for defect-free pipe/ elbow m 0 = M 0 /4R 2 tr y normalized limit moment for defect-free pipe/elbow P total applied load P r internal pressure p = P r R/tr y , normalized internal pressure R, R i , R o mean, inside, outside radius of pipe/elbow cross section R b , R bi , R bo bend radius of elbow at crown, intrados, extrados s ¼ T 2pRtr f ¼ normalized axial tension t wall thickness of pipe/elbow T axial tension in pipe X = M L /M 0 , weakening factor of throughwall circumferentially cracked el...

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“…Subsequent work (15)(16)(17)(18)(19) removed this assumption and developed the J and T solutions for throughwall cracks, part throughwall cracks, and compound cracks under bending, axial tension, or torsional loading.…”

Section: Elastic -Plastic Fracture Mechanics Methodsmentioning

confidence: 99%

Fracture mechanics evaluation of railroad tank cars containing circumferential cracks

Fields¹,

deWit²

1993

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A Plastic Fracture Mechanics Prediction of Fracture Instability in a Circumferentially Cracked Pipe in Bending—Part I: J-Integral Analysis

Cited by 82 publications

References 0 publications

Investigations of fracture instability in crack growth for several metals-Part I: Experimental results

Investigations of fracture instability in crack growth for several metals-Part I: Experimental results

Some recent developments on integrity assessment of pipes and elbows. Part I: Theoretical investigations

Fracture mechanics evaluation of railroad tank cars containing circumferential cracks

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