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Research Papers: Materials and Fabrication

Estimation of Low-Cycle Fatigue Life of Elbow Pipes Considering the Multi-Axial Stress Effect

[+] Author and Article Information
Koji Takahashi

Professor
Faculty of Engineering,
Yokohama National University,
79-5, Tokiwadai, Hodogaya,
Yokohama 240-8501, Japan
e-mail: ktaka@ynu.ac.jp

Kotoji Ando

Yokohama National University,
79-5, Tokiwadai, Hodogaya,
Yokohama 240-8501, Japan
e-mail: andokoto@ynu.ac.jp

Kazuya Matsuo

Yokohama National University,
79-5, Tokiwadai, Hodogaya,
Yokohama 240-8501, Japan
e-mail: mkazuya0520@gmail.com

Yoshio Urabe

Japan Nuclear Safety Institute,
5-36-7, Shiba, Minato-ku,
Tokyo 108-0014, Japan
e-mail: urabe.yoshio@genanshin.jp

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received November 24, 2013; final manuscript received February 13, 2014; published online April 11, 2014. Assoc. Editor: Marina Ruggles-Wrenn.

J. Pressure Vessel Technol 136(4), 041405 (Apr 11, 2014) (8 pages) Paper No: PVT-13-1197; doi: 10.1115/1.4026903 History: Received November 24, 2013; Revised February 13, 2014

The stress states of elbow pipes are complex and different from those of straight pipes. Manson's universal slope method cannot predict the low-cycle fatigue lives of elbow pipes under combined cyclic bending and internal pressure. In this work, fatigue tests and finite element analysis showed that the multi-axial stress factor (i.e., ratio of axial stress to hoop stress) is quite high at elbows. This paper proposes a revised Manson's universal slope method that considers the multi-axial stress factor to predict the low-cycle fatigue lives of elbows under combined cyclic bending and internal pressure with considerably high accuracy.

Copyright © 2014 by ASME
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References

Sakakida, T., Endou, R., Kawabata, M., Yokota, H., Fujiwara, T., Asada, Y., and Suzuki, K., 2000, “Study on Seismic Design of Nuclear Power Plant Piping in Japan Part 4: Analytical Evaluation of Piping Component Tests,” ASME PVP-Vol. 407, pp. 139–146.
Ahn, S. K., Nam, K. W., Yoo, Y. S., Ando, K., Ji, S. H., Ishiwata, M., and Hasegawa, K., 2002, “Fracture Behavior of Straight Pipe and Elbow With Local Wall Thinning,” Nucl. Eng. Des., 211, pp. 91–10. [CrossRef]
Namita, Y., Suzuki, K., Abe, H., Ichihashi, I., Shiratori, M., Tai, K., Iwata, K., and Nebu, A., 2003, “Seismic Proving Test of Eroded Piping (Status of Eroded Component and System test),” ASME PVP-Vol. 466, pp. 15–21.
Nakamura, I., Otani, A., and Shiratori, M., 2007, “A Study on Fracture Mechanics of Eroded Pipes under Seismic Loading,” Technical Note of the National Research Institute for Earth Science and Disaster Prevention No. 306, NIED, Japan (in Japanese).
Takahashi, K., Watanabe, S., Ando, K., Urabe, Y., Hidaka, A., Hisatsune, M., and Miyazaki, K., 2009, “Low Cycle Fatigue Behaviors of Elbow Pipe With Local Wall Thinning,” Nucl. Eng. Des., 239, pp. 2719–2727. [CrossRef]
Takahashi, K., Tsunoi, S., Hara, T., Ueno, T., Mikami, A., Takada, H., Ando, K., and Shiratori, M., 2010, “Experimental Study of Low-Cycle Fatigue of Pipe Elbows With Local Wall Thinning and Life Estimation Using Finite Element Analysis,” Int. J. Pressure Vessels Piping, 87(5), pp. 211–219. [CrossRef]
Urabe, Y., Takahashi, K., and Ando, K., 2012, “Low Cycle Fatigue Behavior and Seismic Assessment for Elbow Pipe With Local Wall Thinning,” Trans. ASME J. Pressure Vessel Technol., 134(4), pp. 041801-1–041801-5. [CrossRef]
Otani, A., Nakamura, I., Takada, H., and Shiratori, M., 2011, “Consideration on Seismic Design Margin of Elbow in Piping,” ASME PVP2011-57146.
Manson, S. S., 1965, “Fatigue: A Complex Subject—Some Simple Approximations,” Exp. Mech., 5(7), pp. 193–226. [CrossRef]
Miyazaki, K., Nebu, A., Kanno, S., Ishiwata, M., and Hasegawa, K., 2002, “Study on Fracture Criterion for Carbon Steel Pipes With Local Wall Thinning,” J. High Press. Inst. Jpn., 40(2), pp. 62–72.
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Figures

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Fig. 1

Shape and geometries of elbow pipe specimen undergoing local wall thinning. (a) Elbow specimen and (b) detail of local wall thinning.

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Fig. 2

Failure behavior of elbow pipe (Sound, P = 9 MPa, d = ±20 mm), Nf = 103 cycles

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Fig. 3

Finite element model of elbow pipe with local wall thinning

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Fig. 4

Stress-strain curve (Carbon steel STPT410)

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Fig. 5

Comparison of the measured and calculated load-displacement curves in case of S-P9-D20

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Fig. 6

Experimental and analytical results of the hoop strain history at outer surface of crown in case of S-P9-D20

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Fig. 7

Typical example of stresses at inner surface of crown in case of S-P9-D20

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Fig. 8

Relationship between bi-axial stress factor at crown and number of cycles (FEM results)

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Fig. 9

Relationship between bi-axial stress factor at crown and displacement (FEM results)

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Fig. 10

Relationship between bi-axial stress factor and number of cycles (FEM results)

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Fig. 11

Relationship between strain range and fatigue life, (a) data from Sakakida et al. [1] and present study, (b) data from Namita et al. [3] and Nakamura et al. [4], and Otani et al. [8]

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Fig. 12

Relationship between fracture strain and bi-axial stress factor

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Fig. 13

Relationship between normalized fatigue life and bi-axial stress factor

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Fig. 14

Relationship between normalized fatigue life and pre-strain (FEM results)

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Fig. 15

Effects of inner pressure on strain range or ratchet strain (experiment and FEM results)

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Fig. 16

Effects of inner pressure on fatigue life (experiment and analysis)

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