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Research Papers: Materials and Fabrication

Crack Geometry Effect on Stress-Strain Fields for Crack Under Biaxial Loading

[+] Author and Article Information
Fumiyoshi Minami

Division of Materials and Manufacturing Science, Graduate School of Engineering, Osaka University, 2-1 Yamada-Oka, Suita, Osaka 565-0871, Japanminami@mapse.eng.osaka-u.ac.jp

Mitsuru Ohata

Division of Materials and Manufacturing Science, Graduate School of Engineering, Osaka University, 2-1 Yamada-Oka, Suita, Osaka 565-0871, Japanohata@mapse.eng.osaka-u.ac.jp

Daisuke Watanabe

Division of Materials and Manufacturing Science, Graduate School of Engineering, Osaka University, 2-1 Yamada-Oka, Suita, Osaka 565-0871, Japan

Satoshi Igi

Steel Research Laboratory, JFE Steel Corporation, 1 Kawasaki-cho, Chuo-ku, Chiba 260-0835, Japans-igi@jfe-steel.co.jp

Takahiro Kubo

Steel Research Laboratory, JFE Steel Corporation, 1 Kawasaki-cho, Chuo-ku, Chiba 260-0835, Japanta-kubo@jfe-steel.co.jp

Nobuhisa Suzuki

Steel Research Laboratory, JFE Steel Corporation, 1-1 Minami-Watarida, Kawasaki 210-0855, Japannob-suzuki@jfe-rd.co.jp

J. Pressure Vessel Technol 132(1), 011404 (Dec 23, 2009) (7 pages) doi:10.1115/1.4000348 History: Received October 27, 2008; Revised May 19, 2009; Published December 23, 2009; Online December 23, 2009

With increasing demand of high-strength and high-pressure pipelines in gas transmission industries, the fracture control design of pipelines has been a driving factor to ensure the integrity of the pipeline. This paper addresses the stress and strain fields for a crack in a wide plate component under biaxial loading, which simulates a large-diameter pipe subjected to inner pressure coupled with axial loading. Attention is focused on the initiation of brittle fracture (stress controlled type) as well as ductile fracture (strain controlled type). Three-dimensional finite element-analyses are conducted. It was found that biaxial loading has a significant effect on the stress fields of through-thickness crack; the near-crack-tip stress is elevated to a large extent by biaxial loading. By contrast, the stress field for a surface crack is not sensitive to biaxial loading, while the near-crack-tip stress at the crack corner is increased locally by biaxial loading. The Weibull stress criterion was applied to discuss the biaxial loading effect on the brittle fracture strength of the wide plate. Ductile crack initiation properties are also discussed with two-parameter (plastic strain and stress triaxiality) diagram. The ductile damage is increased by biaxial loading for a through-thickness crack, whereas a surface crack has little effect of biaxial loading on the ductile damage.

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Figures

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Figure 1

Wide plate specimens subjected to biaxial tension and three-point bend specimen used in FE-analysis. (a) wide plate with a through-thickness crack (CTCP), (b) wide plate with a surface crack (CSCP), and (c) three-point bend specimen with a deep crack

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Figure 2

Biaxial loading effect on CTOD-remote strain relationship: (a) CTCP and (b) CSCP

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Figure 3

Effect of biaxial loading on stress distribution near crack tip for CTCP and CSCP: (a) CTCP and (b) CSCP with a shallow semi-elliptical surface crack

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Figure 4

Distribution of near-crack tip stress along crack front for CSCP with a shallow semi-elliptical surface crack

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Figure 5

Distribution of near-crack-tip stress along crack front for CSCPs with a deep crack and a partial circular-arc crack: (a) CSCP with crack depth of a=12.5 mm and (b) CSCP with a circular arc at crack front end

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Figure 6

Effect of biaxial loading on evolution of the Weibull stress: (a) CTCP and (b) CSCP with a shallow semi-elliptical surface crack

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Figure 7

Effect of biaxial loading on evolution of the Weibull stress for CSCPs with a deep crack and a partial circular-arc crack: (a) CSCP with crack depth of a=12.5 mm and (b) CSCP with a circular arc at crack front end

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Figure 8

Biaxial loading effect on critical CTOD, δWP,cr, for wide plates normalized by critical CTOD of 3PB specimen at the same Weibull stress level

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Figure 9

Equivalent CTOD ratio, β, based on the Weibull stress criterion

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Figure 10

Biaxial loading effect on the equivalent CTOD ratio, β

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Figure 11

Effect of yield-to-tensile ratio, YR, and the Weibull shape parameter m on the equivalent CTOD ratio, β: (a) CTCP and (b) CSCP with a circular arc at crack front end

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Figure 12

Plastic strain-stress triaxiality diagram for crack-tip element at center of crack front: (a) CTCP and (b) CSCP

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Figure 13

Biaxial loading effect on accumulation of plastic strain at crack tip: (a) CTCP and (b) CSCP

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