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Journal of Failure Analysis and Prevention

, Volume 18, Issue 6, pp 1534–1547 | Cite as

Calibration of Beremin Parameters for 20MnMoNi55 Steel and Prediction of Reference Temperature (T0) for Different Thicknesses and a/W Ratios

  • K. BhattacharyyaEmail author
  • S. Acharyya
  • S. Dhar
  • J. Chattopadhyay
Technical Article---Peer-Reviewed
  • 41 Downloads

Abstract

Master curve and reference temperature (T0) from three-point bending specimens of 20MnMoNi55 steel for different thicknesses and a/W ratios are determined using Kim Wallin’s master curve methodology (ASTM E1921-02) to study the effect of variation in thickness and a/W ratio at reference temperature (T0). Weibull stress at the crack tip is calculated from FE analysis of each fracture test using FE software ABAQUS. Calibration of Beremin parameters, like Weibull modulus (m) and scaling parameter (σu), and Cm,n is done using linear regression analysis of a large number of fracture test data at single test temperature. T0 for different thicknesses and a/W ratios are also evaluated from corresponding Weibull stress based on Beremin model using calibrated m, σu and Cm,n which are compared with experimental results showing case-specific good matching. The same calibrated values of Beremin parameters and Cm,n are also used to evaluate T0 for CT specimen of the same material using Beremin model, and an excellent matching with the experimental result is found.

Keywords

Reference temperature (T0Scaling parameter (σuThree-point bending (TPB) Weibull stress (σwWeibull modulus (m

Abbreviations

m

Weibull modulus

σu

Scaling parameter

Cm,n

Beremin coefficient

σw

Weibull stress

a

Physical crack size (mm)

B

Gross thickness of specimens (mm)

B1T

Thickness of 1T (one inch) specimen

B0

Thickness of tested specimen (mm)

a/W

Crack length-to-width ratio of the specimen

W

Specimen width

RPV

Reactor pressure vessel

DBT

Ductile-to-brittle transition

TPB

Three-point bending

CT

Compact tension

Pf

Probability of fracture

KJC

Converted value of JC equal to critical K

Kmin

Minimum possible fracture toughness

KJC(median)

Median fracture toughness

K0

Scale parameter dependent on test temperature and specimen thickness

M

Censor parameter

References

  1. 1.
    K. Wallin, The scatter in KIC results. Eng. Fract. Mech. 19(6), 1085–1093 (1984)CrossRefGoogle Scholar
  2. 2.
    I. Sattari-Far, K. Wallin, Application of master curve methodology for structural integrity assessments of nuclear components. SKI Report 2005, 55 (2005)Google Scholar
  3. 3.
    W.I. Rosinski et al., Application of the master curve in the ASME. Int. J. Press. Vessels Pip. 77, 591–598 (2000)CrossRefGoogle Scholar
  4. 4.
    M. Graba, The influence of material properties and crack length on the q-stress value near the crack tip for elastic-plastic materials for centrally cracked plate in tension. J. Theor. App. Mech. 50(1), 23–46 (2012), Warsaw 2012, 50th anniversary of JTAMGoogle Scholar
  5. 5.
    K. Wallin, Quantifying T-stress controlled constraint by the master curve transition temperature T 0. Eng. Fract. Mech. 68, 303–328 (2001)CrossRefGoogle Scholar
  6. 6.
    F.M. Beremin, A local criterion for cleavage fracture of a nuclear pressure vessel steel. Metall. Trans. 14A, 2277–2287 (1983)CrossRefGoogle Scholar
  7. 7.
    C. Ruggieri et al., Transferability of elastic-plastic fracture toughness using the Weibull stress approach: significance of parameter calibration. Eng. Fract. Mech. 67, 101–117 (2000)CrossRefGoogle Scholar
  8. 8.
    R.H. Dodds et al., A framework to assess a/W ratio effects on elastic–plastic fracture toughness (Jc) in SENB specimens. Int. J. Fract. 48, 1–22 (1991)CrossRefGoogle Scholar
  9. 9.
    C. Ruggieri, R.H. Dodds, A transferability model for brittle fracture including constraint and ductile tearing effects: a probabilistic approach. Int. J. Fract. 79, 309–340 (1996)CrossRefGoogle Scholar
  10. 10.
    C. Ruggieri et al., Constraint effects on reference temperature T 0, for ferritic steel in the transition region. Eng. Fract. Mech. 60, 19–36 (1998)CrossRefGoogle Scholar
  11. 11.
    J.P. Petti et al., Coupling of the Weibull stress model and macroscale models to predict cleavage fracture. Eng. Fract. Mech. 71, 2079–2103 (2004)CrossRefGoogle Scholar
  12. 12.
    C. Ruggieri, A New Procedure to Calibrate the Weibull Stress Modulus (m). Department of Naval Architecture and Ocean Engineering, University of São Paulo, São Paulo, SP 05508-900, BrazilGoogle Scholar
  13. 13.
    W. J. McAfee et al., An Investigation of Shallow-Flaw Effects on the Master Curve Indexing Parameter (T 0) in RPV material. Letter Report, Division of Engineering Technology Office of Nuclear Regulatory Research. S. Nuclear Regulatory Commission. Published April 2000 (2000)Google Scholar
  14. 14.
    G. Qian et al., Calibration of a new local approach to cleavage fracture of ferritic steels. Mater. Sci. Eng. A 694, 10–12 (2017)CrossRefGoogle Scholar
  15. 15.
    A. Andrieu, Beremin model: methodology and application to the prediction of the Euro toughness data set. Eng. Fract. Mech. 95, 102–117 (2012)CrossRefGoogle Scholar
  16. 16.
    K. Wallin, Master curve analysis of the “Euro” fracture toughness dataset. Eng. Fract. Mech. 69, 451–481 (2002)CrossRefGoogle Scholar
  17. 17.
    IAEA-TECDOC-1613, Master curve approach to monitor fracture toughness of reactor pressure vessels in nuclear power plant, vol. 65 (2009)Google Scholar
  18. 18.
    D.E. McCabe, et al., An Introduction to the Development and Use of the Master Curve Method (ASTM Manual) (Astm Manual Series, Mnl 52)Google Scholar
  19. 19.
    K. Bhattacharyya et al., Study of constraint effect on reference temperature (T 0) of reactor pressure vessel mater (20mnmoni55 Steel) in the ductile to brittle transition region. Proc. Eng. 86(2014), 264–271 (2014)CrossRefGoogle Scholar
  20. 20.
    S. Bhowmik et al., Estimation of fracture toughness of 20MnMoNi55 steel in the ductile to brittle transition region using master curve method. Nucl. Eng. Design 241, 2831–2838 (2011)CrossRefGoogle Scholar
  21. 21.
    S. Bhowmik et al., Evaluation and effect of loss of constraint on master curve reference temperature of 20MnMoNi55 steel. Eng. Fract. Mech. 136, 142–157 (2015)CrossRefGoogle Scholar
  22. 22.
    IAEA-TECDOC-1631, Master Curve Approach to Monitor Fracture Toughness of Reactor Pressure Vessels in Nuclear Power PlantsGoogle Scholar
  23. 23.
    A. Tiwari et al., Determination of reference transition temperature of In-RAFMS in ductile brittle transition regime using numerically corrected Master Curve approach. Eng. Fract. Mech. 142, 79–92 (2015)CrossRefGoogle Scholar
  24. 24.
    B. Wasiluk et al., Temperature dependence of Weibull stress parameters: studies using the euro-material. Eng. Fract. Mech. 73, 1046–1069 (2006)CrossRefGoogle Scholar
  25. 25.
    M.C. Burstow, Int J Press Vessel Pip. 80, 797–805 (2003)CrossRefGoogle Scholar
  26. 26.
    S. Bhowmik et al., Application and comparative study of master curve methodology for fracture toughness characterization of 20MnMoNi55 steel. Mater. Des. 39, 309–317 (2012)CrossRefGoogle Scholar

Copyright information

© ASM International 2018

Authors and Affiliations

  • K. Bhattacharyya
    • 1
    Email author
  • S. Acharyya
    • 1
  • S. Dhar
    • 1
  • J. Chattopadhyay
    • 2
  1. 1.Department of Mechanical EngineeringJadavpur UniversityKolkataIndia
  2. 2.Reactor Safety DivisionBhabha Atomic Research CentreMumbaiIndia

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