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Research Papers: Materials and Fabrication

Variation of Beremin Model Parameters With Temperature by Monte Carlo Simulation

[+] Author and Article Information
K. Bhattacharyya

Department of Mechanical Engineering,
Jadavpur University,
188, Raja S. C. Mallick Road,
Kolkata, West Bengal 700032, India
e-mail: bhattacharyyakushal3@gmail.com

S. Acharyya, S. Dhar

Department of Mechanical Engineering,
Jadavpur University,
188, Raja S. C. Mallick Road,
Kolkata, West Bengal 700032, India

J. Chattopadhyay

Reactor Safety Division,
Bhabha Atomic Research Centre,
Mumbai 400085, India

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received May 7, 2018; final manuscript received November 17, 2018; published online February 21, 2019. Assoc. Editor: Kiminobu Hojo.

J. Pressure Vessel Technol 141(2), 021401 (Feb 21, 2019) (7 pages) Paper No: PVT-18-1094; doi: 10.1115/1.4042121 History: Received May 07, 2018; Revised November 17, 2018

In this work, variation of the Beremin parameters with temperature for reactor pressure vessel material 20MnMoNi55 steel is studied. Beremin model is used, including the effect of plastic strain as originally formulated in the Beremin model. A set of six tests are performed at a temperature of −110 °C in order to determine reference temperature (T0) and master curve for the entire ductile-to-brittle transition (DBT) region as per the ASTM Standard E1921. Monte Carlo simulation is employed to produce a large number of 1 T three-point bending specimen (TPB) fracture toughness data randomly drawn from the scatter band obtained from the master curve, at different temperatures of interest in the brittle dominated portion of DBT region to determine Beremin model parameters variation with temperatures.

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References

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Figures

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Fig. 1

Experimental arrangement for low temperature Jc test: (1) cryo-chamber, (2) controller, (3) operator panel, (4) support computer, (5) liquid nitrogen cylinder, and (6) temperature indicator

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Fig. 2

Experimental setup of TPB specimen for low temperature Jc test: (7) TPB specimen, (8) crack tip opening displacement gauge, and (9) rigid roller

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Fig. 3

Geometry of TPB specimen

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Fig. 4

(a) Quarter TPB specimen model along with boundary conditions and (b) maximum principal stress (MPa) distribution in the fracture process zone

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Fig. 5

(a) Comparison of load versus LLD at −110 °C and (b) Comparison of J-Integral versus LLD at −110 °C

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Fig. 6

(a) Master curve from six test data set and (b) randomly generated KJc by master curve and temperature relation

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Fig. 7

(a) Relation between Weibull modulus and the simulation number (test temperature −100 °C, average m = 32) and (b) relation between Weibull Modulus and the simulation number (test temperature −130 °C, average m = 41)

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Fig. 8

(a) Relation between scale parameter and the simulation number (test temperature −100 °C, average σu = 2186 MPa) and (b) relation between scale parameter and the simulation number (test temperature −130 °C, average σu = 2092 MPa)

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Fig. 9

(a) Variation of m with temperature and (b) Variation of σu with temperature

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Fig. 10

Probability of failure versus Weibull stress distribution for −100 °C, −110 °C, −120 °C, −130 °C, and −140 °C

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