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Research Papers: Design and Analysis

Development of Stress Intensity Factors for Surface Cracks With Large Aspect Ratio in Plates

[+] Author and Article Information
Yinsheng Li

Japan Atomic Energy Agency,
Tokai-mura, Naka-gun,
Ibaraki-ken 319-1195, Japan
e-mail: li.yinsheng@jaea.go.jp

Kunio Hasegawa

Japan Atomic Energy Agency,
Tokai-mura, Naka-gun,
Ibaraki-ken 319-1195, Japan
e-mail: hasegawa.kunio@jaea.go.jp

Genshichiro Katsumata

Japan Atomic Energy Agency,
Tokai-mura, Naka-gun,
Ibaraki-ken 319-1195, Japan
e-mail: katsumata.genshichiro@jaea.go.jp

Kazuya Osakabe

Mizuho Information and Research Institute,
2-3 Kanda-Nishikicho, Chiyoda-ku,
Tokyo 101-8443, Japan
e-mail: kazuya.osakabe@mizuho-ir.co.jp

Hiroshi Okada

Tokyo University of Science,
2641 Yamazaki, Noda,
Chiba 278-8510, Japan
e-mail: hokada@rs.noda.tus.ac.jp

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received November 5, 2014; final manuscript received March 7, 2015; published online June 16, 2015. Assoc. Editor: David L. Rudland.

J. Pressure Vessel Technol 137(5), 051207 (Oct 01, 2015) (8 pages) Paper No: PVT-14-1180; doi: 10.1115/1.4030026 History: Received November 05, 2014; Revised March 07, 2015; Online June 16, 2015

A number of surface cracks with large aspect ratio have been detected in components of nuclear power plants (NPPs) in recent years. The depths of these cracks are even larger than the half of crack lengths. When a crack is detected during in-service inspections, methods provided in ASME Boiler and Pressure Vessel Code Section XI or JSME Rules on fitness-for-service for NPPs can be used to assess the structural integrity of cracked components. The solution of the stress intensity factor (SIF) is very important in the structural integrity assessment. However, in the current codes, the solutions of the SIF are provided for semi-elliptical surface cracks with a limitation of a/ℓ ≤ 0.5, where a is the crack depth, and ℓ is the crack length. In this study, the solutions of the SIF were calculated using finite element analysis (FEA) with quadratic hexahedron elements for semi-elliptical surface cracks with large aspect ratio in plates. The crack dimensions were focused on the range of a/ℓ = 0.5–4.0 and a/t = 0.0–0.8, where t is the wall thickness. Solutions were provided at both the deepest and the surface points of the surface cracks. Furthermore, some of solutions were compared with the available existing results as well as with solutions obtained using FEA with quadratic tetrahedral elements and the virtual crack closure-integral method (VCCM). Finally, it was concluded that the solutions proposed in this paper are applicable in engineering applications.

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References

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Figures

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Fig. 1

Geometries of surface semi-elliptical crack in a plate. (a) Surface semi-elliptical crack with a/ℓ ≤ 0.5 and (b) surface semi-elliptical crack with a/ℓ > 0.5.

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Fig. 2

Analysis model of a semi-elliptical surface crack in a plate

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Fig. 3

Stress distribution acting on the crack surface as surface load

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Fig. 4

Singular element used at the crack tip

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Fig. 5

Example meshes near the crack surface for plates with a crack. (a) a/ℓ = 0.5 and a/t = 0.6 and (b) a/ℓ = 1.0 and a/t = 0.6.

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Fig. 6

Relationship between G0 and the crack front angle for semi-elliptical surface cracks. (a) G0 for crack with a/ℓ = 0.5 and a/t = 0.2 and (b) G0 for crack with a/ℓ = 0.5 and a/t = 0.8.

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Fig. 7

Relationship between G1 and the crack front angle for semi-elliptical surface cracks. (a) G1 for crack with a/ℓ = 0.5 and a/t = 0.2 and (b) G1 for crack with a/ℓ = 0.5 and a/t = 0.8.

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Fig. 8

Relationship between G and the crack front angle for cracks with a/ℓ = 0.5. (a) G0 for cracks with a/ℓ = 0.5 and (b) G1 for cracks with a/ℓ = 0.5.

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Fig. 9

Relationship between G and the crack front angle for cracks with a/ℓ = 2.0. (a) G for crack with a/ℓ = 2.0 and a/t = 0.4 and (b) G for crack with a/ℓ = 2.0 and a/t = 0.8.

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Fig. 10

Results of G selected as the solution at the pseudodeepest point of semi-elliptical cracks. (a) G for cracks with a/ℓ = 0.5, (b) G for cracks with a/ℓ = 1.0, (c) G for cracks with a/ℓ = 2.0, and (d) G for cracks with a/ℓ = 4.0.

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Fig. 11

Results of G selected as the solution at the surface point of semi-elliptical cracks. (a) G for cracks with a/ℓ = 0.5, (b) G for cracks with a/ℓ = 1.0, (c) G for cracks with a/ℓ = 2.0, and (d) G for cracks with a/ℓ = 4.0.

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