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


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.


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



Weibull modulus


Scaling parameter


Beremin coefficient


Weibull stress


Physical crack size (mm)


Gross thickness of specimens (mm)


Thickness of 1T (one inch) specimen


Thickness of tested specimen (mm)


Crack length-to-width ratio of the specimen


Specimen width


Reactor pressure vessel


Ductile-to-brittle transition


Three-point bending


Compact tension


Probability of fracture


Converted value of JC equal to critical K


Minimum possible fracture toughness


Median fracture toughness


Scale parameter dependent on test temperature and specimen thickness


Censor parameter


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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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