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Technical Brief

Elastic and Inelastic Responses of C(T) Specimens With Discontinuous Cracks

[+] Author and Article Information
Nak-Hyun Kim

Department of Mechanical Engineering,
Korea University,
Anam-Dong, Sungbuk-Ku,
Seoul 136-701, South Korea
e-mail: man5047@korea.ac.kr

Yun-Jae Kim

Department of Mechanical Engineering,
Korea University,
Anam-Dong, Sungbuk-Ku,
Seoul 136-701, South Korea
e-mail: Kimy0308@korea.ac.kr

Dave W. Dean

Assessment Technology Group,
EDF Energy, Barnwood,
Gloucester GL4 3RS, UK
e-mail: david.dean@edf-energy.com

Catrin M. Davies

Department of Mechanical Engineering,
Imperial College London,
London SW7 2AZ, UK
e-mail: catrin.davies@imperial.ac.uk

Kamran Nikbin

Department of Mechanical Engineering,
Imperial College London,
London SW7 2AZ, UK
e-mail: k.nikbin@imperial.ac.uk

Ali Mehmanparast

Department of Mechanical Engineering,
Imperial College London,
London SW7 2AZ, UK
e-mail: ali.mehmanparast@imperial.ac.uk

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received July 23, 2013; final manuscript received June 1, 2014; published online September 15, 2014. Assoc. Editor: David L. Rudland.

J. Pressure Vessel Technol 137(1), 014501 (Sep 15, 2014) (7 pages) Paper No: PVT-13-1119; doi: 10.1115/1.4027818 History: Received July 23, 2013; Revised June 01, 2014

This paper investigates elastic and elastic–plastic responses of a plane strain compact tension specimen containing a discontinuous crack using two-dimensional (2D) finite element analyses. Discontinuous cracking is represented by modeling two (main and sub) cracks with the distance between them systematically varied. The finite element predictions show that the presence of subcracks has minimal effect on the elastic compliance and potential difference but significantly influences the plastic limit loads and load line displacements (LLDs). The evaluation of the elastic and elastic–plastic behavior of the J-integrals evaluated using different contours for discontinuous cracks are also examined and explained.

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References

Figures

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Fig. 1

Discontinuous cracks in creep crack growth tests on C(T) specimens of 316 H at 550 °C for (a) long term test (>20,000 h) [1], (b) for precompressed material [2], and (c) and (d) short term tests [2]

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Fig. 2

Schematic illustration of a C(T) specimen containing (a) a single crack and (b) discontinuous crack

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Fig. 3

Typical FE mesh of C(T) specimen with a discontinuous crack: (a) whole mesh for elastic and elastic–plastic analysis, (b) individual crack-tip mesh, (c) position of three crack tips, and (d) a full mesh for the potential difference analysis

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Fig. 4

(a) FE results of elastic compliances in a C(T) specimen containing single and discontinuous cracks, estimated using Eq. (2b) (dashed lines are from Eq. (2a)) and (b) FE results of equivalent crack length for single and discontinuous cracks based on potential difference, estimated using Eq. (3) (dashed lines are from Eq. (3))

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Fig. 5

Contour definitions to calculate J for a discontinuous crack

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Fig. 6

Variations of elastic K with the distance d between discontinuous cracks for (a) a2 = 4 mm and (b) a2 = 6 mm (dashed lines indicate known single continuous crack solutions [6])

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Fig. 7

FE results for (a) plastic limit loads for plane strain C(T) specimens with single and discontinuous cracks and (b) load-plastic LLD curves

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Fig. 8

Variations of plastic and total J for discontinuous cracks: (a) and (b) a2 = 4 mm; and (c) and (d) a2 = 6 mm

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