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TECHNICAL PAPERS

Shallow Flaws Under Biaxial Loading Conditions—Part II: Application of a Weibull Stress Analysis of the Cruciform Bend Specimen Using a Hydrostatic Stress Criterion

[+] Author and Article Information
Paul T. Williams, B. Richard Bass, Wallace J. McAfee

Oak Ridge National Laboratory, Oak Ridge, TN 37831e-mail: williamspt@ornl.gov

J. Pressure Vessel Technol 123(1), 25-31 (Oct 23, 2000) (7 pages) doi:10.1115/1.1344235 History: Received January 01, 2000; Revised October 23, 2000
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References

Figures

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PTS loading produces biaxial stresses in an RPV wall with one of the principal stresses aligned parallel with the tip of the constant-depth shallow surface flaw
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Cruciform shallow-flaw biaxial fracture toughness test specimen
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Stress-strain behavior for Plate 14 RPV steel
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Finite-element quarter-model of cruciform beam specimen: (a) detailed view of the shallow-flaw region, (b) complete mesh layout
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Weibull stresses normalized by the yield stress σ0, with (a) maximum principal stress, and (b) hydrostatic stress as the equivalent stress at J=100 kJ/m2
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Weibull probability density distributions of shallow-flaw (a/W=0.1) cruciform toughness data at −5°C
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Weibull parameter estimation by G-R-D: (a) mapping to SSY Weibull stress space: (1:1) and (0:1) mappings for m=10.6, and (b) estimated β(x:1) as a function of trial m
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Sensitivity of maximum principal (opening mode) stress to biaxiality: stress profiles along the normalized distance ahead of cruciform crack tip for J≈130 kJ/m2
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Sensitivity of hydrostatic (σH) stress to biaxiality: stress profiles along the normalized distance ahead of cruciform crack tip for J≈130 kJ/m2
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Cumulative failure probabilities for uniaxial (0:1) loading using a three-parameter Weibull model plotted in Weibull coordinates for m=10.6
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Cumulative failure probabilities for biaxial (1:1) loading using a three-parameter Weibull model plotted in Weibull coordinates for m=10.6
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(a) J versus σw trajectories for uniaxial (0:1) and biaxial (1:1) loading for m=10.55, and (b) biaxial scaling curve for m=10.6

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