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Research Papers: Materials and Fabrication

Constraint Assessment for Specimens Tested Under Uniaxial and Biaxial Loading Conditions

[+] Author and Article Information
Yupeng Cao

Shanghai Nuclear Engineering Research
and Design Institute,
Department of Component Research and Design,
Shanghai 200233, China
e-mail: caoyupeng@snerdi.com.cn

Guian Qian

Laboratory for Nuclear Materials,
Paul Scherrer Institute,
Villigen 5232, Switzerland;
State Key Laboratory for Nonlinear
Mechanics (LNM),
Institute of Mechanics,
Chinese Academy of Sciences,
Beijing 100190, China
e-mail: guian.qian@psi.ch

Yinbiao He

Department of Component Research and Design,
Shanghai Nuclear Engineering Research
and Design Institute,
Shanghai 200233, China

Markus Niffenegger

Laboratory for Nuclear Materials,
Paul Scherrer Institute,
Villigen 5232, Switzerland

Yuh J. Chao

Department of Mechanical Engineering,
University of South Carolina,
Columbia, SC 29208

1Corresponding authors.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received August 13, 2017; final manuscript received January 30, 2018; published online April 3, 2018. Assoc. Editor: David L. Rudland.

J. Pressure Vessel Technol 140(3), 031401 (Apr 03, 2018) (7 pages) Paper No: PVT-17-1150; doi: 10.1115/1.4039346 History: Received August 13, 2017; Revised January 30, 2018

In structural integrity analysis of reactor pressure vessels (RPVs), a postulated shallow crack is subjected to biaxial far-field stresses. However, the fracture toughness Kc or Jc, which is an important material property for the structural integrity assessment of RPVs, is usually obtained from testing deeply cracked compact tension (C(T)) or single-edged bending (SE(B)) specimens under uniaxial loading. Thus, the fracture toughness data do not reflect the biaxial loading state that cracks in a RPV are subjected to. Cruciform bending specimen was therefore developed to simulate the biaxial stress state. In this paper, a series of finite element (FE) simulations of the cruciform specimens containing different crack geometries and of different material properties are conducted. The crack tip stress fields are analyzed, and the constraint is investigated using the J–A2 theory. The results show that the biaxial effect is material property dependent which could be useful for the optimization of the test method and the better design of cruciform specimens. The trends about the biaxial loading effect revealed in this study would also be helpful in estimating the safe operating life of RPVs.

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References

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Figures

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Fig. 1

Biaxial stress state of the crack in RPV wall under PTS transients

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Fig. 2

Geometry of the CR(B) specimen

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Fig. 3

Geometry of the SE(B) specimen

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Fig. 4

The stress–strain curves

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Fig. 5

Finite element meshes for (a) the CR(B) and (b) SE(B) specimens

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Fig. 6

Variation of A2 across the thickness with crack depth a0/W = 0.15 for: (a) material 1 (E/σ0 = 800, n = 5, α = 1.6), (b) material 2 (E/σ0 = 500, n = 10, α = 1), and (c) material 3 (E/σ0 = 300, n = 20, α = 0.6)

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Fig. 7

Variation of A2 across the thickness with crack depth a0/W = 0.08 for: (a) material 1 (E/σ0 = 800, n = 5, α = 1.6) and (b) material 3 (E/σ0 = 300, n = 20, α = 0.6)

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Fig. 8

Variation of J across the thickness with crack depth a0/W = 0.15 for: (a) material 1 (E/σ0 = 800, n = 5, α = 1.6), (b) material 2 (E/σ0 = 500, n = 10, α = 1), and (c) material 3 (E/σ0 = 300, n = 20, α = 0.6)

Grahic Jump Location
Fig. 9

Variation of J across the thickness with crack depth a0/W = 0.08 for: (a) material 1 (E/σ0 = 800, n = 5, α = 1.6), (b) material 3 (E/σ0 = 300, n = 20, α = 0.6)

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