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Research Papers: Design and Analysis

Plastic Limit Loads for Slanted Through-Wall Cracks in Cylinder and Plate Based on Finite Element Limit Analyses

[+] Author and Article Information
Doo-Ho Cho, Young-Hwan Choi

Korea Institute of Nuclear Safety,
34 Gwahakro, Yuseong-gu,
Daejeon 305-338, Korea

Nam-Su Huh

Department of Mechanical System
Design Engineering,
Seoul National University of
Science and Technology,
232 Gongneung-ro, Nowon-gu,
Seoul 139-743, Korea
e-mail: nam-su.huh@seoultech.ac.kr

Do-Jun Shim

Engineering Mechanics
Corporation of Columbus,
3518 Riverside Dr, Suite 202,
Columbus, OH 43221

Jae-Boong Choi

School of Mechanical Engineering,
Sungkyunkwan University,
300 Chunchun-dong, Jangan-gu,
Suwon 440-746, Korea

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received May 8, 2012; final manuscript received November 21, 2013; published online February 14, 2014. Assoc. Editor: Hardayal S. Mehta.

J. Pressure Vessel Technol 136(3), 031201 (Feb 14, 2014) (14 pages) Paper No: PVT-12-1057; doi: 10.1115/1.4026109 History: Received May 08, 2012; Revised November 21, 2013

The plastic limit load solutions for cylinder and plate with slanted through-wall cracks (TWCs) are developed based on the systematic three-dimensional (3D) finite element (FE) limit analyses. As for loading conditions, axial tension, global bending, and internal pressure are considered for a cylinder with slanted circumferential TWC, whereas, axial tension and internal pressure are considered for a plate and a cylinder with slanted axial TWC. Then, the verification of FE model and analysis procedure employed in the present numerical work was confirmed by employing the existing solutions for both cylinder and plate with idealized TWC. Also, the geometric variables of slanted TWC which can affect plastic limit loads were considered. Based on the systematic FE limit analysis results, the slant correction factors which represent the effect of slanted TWC on plastic limit load were provided as tabulated solutions. By adopting these slant correction factors, the plastic limit loads of slanted TWC can be directly estimated from existing solutions for idealized TWC. Furthermore, the modified engineering estimations of plastic limit loads for slanted TWC are proposed based on equilibrium equation and von Mises yield criterion. The present results can be applied either to diverse structural integrity assessments or for accurate estimation of fracture mechanics parameters such as J-integral, plastic crack opening displacement (COD) and C*-integral for slanted TWC based on the reference stress concept (Kim, et al., 2002, “Plastic Limit Pressure for Cracked Pipes Using Finite Element Limit Analyse,” Int. J. Pressure Vessels Piping, 79, pp. 321–330; Kim, et al., 2001, “Enhanced Reference Stress-Based J and Crack Opening Displacement Estimation Method for Leak-Before-Break Analysis and Comparison With GE/EPRI Method,” Fatigue Fract. Eng. Mater. Struct., 24, pp. 243–254; Kim, et al., 2002, “Non-Linear Fracture Mechanics Analyses of Part Circumferential Surface Cracked Pipes,” Int. J. Fract., 116, pp. 347–375.)

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References

Kim, Y. J., Shim, D. J., Huh, N. S., and Kim, Y. J., 2002, “Plastic Limit Pressure for Cracked Pipes Using Finite Element Limit Analyse,” Int. J. Pressure Vessels Piping, 79, pp. 321–330. [CrossRef]
Kim, Y. J., Huh, N. S., and Kim, Y. J., 2001, “Enhanced Reference Stress-Based J and Crack Opening Displacement Estimation Method for Leak-Before-Break Analysis and Comparison With GE/EPRI Method,” Fatigue Fract. Eng. Mater. Struct., 24, pp. 243–254. [CrossRef]
Kim, Y. J., Kim, J. S., Lee, Y. Z., and Kim, Y. J., 2002, “Non-Linear Fracture Mechanics Analyses of Part Circumferential Surface Cracked Pipes,” Int. J. Fract., 116, pp. 347–375. [CrossRef]
Lee, K. H., Xu, Y., Jeon, J. H., Kim, Y. J., and Budden, P. J., 2012, “Plastic Limit Loads for Piping Branch Junctions Under Out-of-Plane Bending,” J. Strain Anal. Eng. Des., 47, pp. 32–45. [CrossRef]
Lee, K. H., Kim, Y. J., Budden, P. J., and Nikbin, K., 2009, “Plastic Limit Loads for Thick-Walled Branch Junctions,” J. Strain Anal. Eng. Des., 44, pp. 143–148. [CrossRef]
Kim, Y. J., Huh, N. S., Kim, Y. J., and Yang, J. S., 2004, “Engineering Leak-Before-Break Analyses of Pressurized Piping: Part I-Crack Opening Displacement,” JSME Int. J., 47, pp. 591–599. [CrossRef]
Huh, N. S., Shim, D. J., Choi, S., and Park, K. B., 2008, “Stress Intensity Factors and Crack Opening Displacement for Slanted Axial Through-Wall Cracks in Pressurized Pipes,” Fatigue Fract. Eng. Mater. Struct., 31, pp. 428–440. [CrossRef]
Huh, N. S., Shim, D. J., Choi, S., Wikowski, G. M., and Yang, J. S., 2008, “Stress Intensity Factors for Slanted Through-Wall Cracks Based on Elastic Finite Element Analyses,” Fatigue Fract. Eng. Mater. Struct., 31, pp. 197–209. [CrossRef]
Brickstad, B., and Sttari-Far, I., 2000, “Crack Shape Developments for LBB Applications,” Eng. Fract. Mech., 67, pp. 625–646. [CrossRef]
Brickstad, B., 2007, private communication.
Huh, N. S., and Kim, Y. J., 2006, “Plastic Limit Loads for Through-Wall Cracked Pipes Using 3-D Finite Element Limit Analyses,” Trans. KSME (A), 30, pp. 568–575.
Song, T. K., Kim, Y. J., Kim, J. S., and Jin, T. E., 2008, “Mis-Match Limit Load Analyses and Approximate J-Integral Estimates for Similar Metal Weld With Weld-Center Crack Under Tension Load,” Trans. KSME (A), 32, pp. 411–418.
Cho, D. H., Kim, J. M., Chang, Y. S., Choi, J. B., Kim, Y. J., and Han, S. I., 2009, “Numerical Fracture Mechanics Evaluation on Surface Cracks in a Spherical Oxygen Holder,” Trans. KSME (A), 33, pp. 1187–1194.
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Figures

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Fig. 1

Schematic diagrams of typical crack growth behavior in cylinder

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Fig. 2

Schematic diagrams of (a) slanted circumferential TWC in cylinder (b) slanted axial TWC in cylinder, (c) slanted TWC in plate

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Fig. 3

Typical FE meshes employed in the present study (a) slanted circumferential TWC in cylinder (b) slanted axial TWC in cylinder, (c) slanted TWC in plate

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Fig. 4

Comparison of normalized plastic limit loads for idealized axial TWC in cylinder under internal pressure

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Fig. 5

Comparison of normalized plastic limit loads for idealized TWC in plate under remote axial tension

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Fig. 6

Variation of normalized plastic limit loads for a cylinder with slanted circumferential TWC (Rm/t = 20)

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Fig. 7

Variation of normalized plastic limit loads for a cylinder with slanted circumferential TWC (Rm/t = 5)

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Fig. 8

Comparison of slant correction factors obtained from FE results (Table 7) and proposed closed-form solution (Eq. (11)) for a cylinder with circumferential TWC under axial tension

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Fig. 9

Comparison of slant correction factors obtained from FE results (Table 8) and proposed closed-form solution (Eq. (12)) for a cylinder with circumferential TWC under global bending

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Fig. 10

Comparison of slant correction factors obtained from FE results (Table 9) and proposed closed-form solution (Eq. (13)) for a cylinder with circumferential TWC under internal pressure

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Fig. 11

Variation of normalized plastic limit loads for a cylinder with slanted axial TWC under internal pressure

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Fig. 12

Comparison of slant correction factors obtained from FE results (Table 10) and proposed closed-form solution (Eq. (16)) for a cylinder with axial TWC under internal pressure

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Fig. 13

Variation of normalized plastic limit loads for a plate with slanted TWC under remote axial tension

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Fig. 14

Comparison of slant correction factors obtained from FE results (Table 12) and proposed closed-form solution (Eq. (19)) for a plate with TWC under remote axial tension

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