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BAY - LOGI. 2 nd Hungarian-Ukrainian Joint Conference on SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTS ASSESSMENT OF SUB-CLAD FLAWS, J-INTEGRAL CALCULATION. Róbert Beleznai Tibor Köves Péter Kavalyecz. Bay Zoltán Foundation for Applied Research

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r bert beleznai tibor k ves p ter kavalyecz
BAY-LOGI

2nd Hungarian-Ukrainian Joint Conferenceon SAFETY-RELIABILITY AND RISK OF ENGINEERING PLANTS AND COMPONENTSASSESSMENT OF SUB-CLAD FLAWS, J-INTEGRAL CALCULATION

Róbert Beleznai

Tibor Köves

Péter Kavalyecz

Bay Zoltán Foundation for Applied Research

Institute for Logistic and Production Systems

Kyiv

20th September, 2007

content
BAY-LOGICONTENT
  • Test specimens
    • Crack type
    • Crack dimensions
    • Crack geometry
  • Material properties
  • Residual stress
  • Validation of the model
  • Boundary condition
  • J-integral calculation

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

slide3
BAY-LOGI

Introduction

Main objective of the work

  • WWER Cladded Reactor Pressure Vessel (WWER-440)J-integral calculation based on the report of the Nuclear Research Institute Rez plc, Division of Integrity and Technical Engineering.

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

test specimen
BAY-LOGITest specimen
  • Specimen type: 4PB(40x85x670 mm)

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

material properties
BAY-LOGIMaterial properties
  • WWER reactor pressure vessel steel with austenitic cladding
  • Data arises from the report of the NRI
  • True stress – true plastic strain curve was derived for the FE calculation

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

material properties1
BAY-LOGIMaterial properties

Poisson ratio: =0.3

E=162 GPa

=17.1*10-6

E=211 GPa

=12.55*10-6

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

crack type s
BAY-LOGICrack types
  • Two different crack lengths were analyzed
  • 1e2 and 1e4:
    • crack length: 15 mm
    • upper cracktip located 3 mm under the fusion line of the cladding
    • both crack tips are sharp
  • 1e7:
    • crack length: 40 mm
    • upper cracktip located 3 mm under the fusion line of the cladding
    • upper crack tip is sharp
    • lower crack tip is drilled out

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

crack dimensions
BAY-LOGICrack dimensions

Straight crack front were considered in all case.

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

crack g eometry
BAY-LOGICrack geometry

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

residual stress
BAY-LOGIResidual stress
  • Residual stress arises from the difference of the thermal expansion coefficients
  • Stress free temperature: Tsf=350°C

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

residual stress1
BAY-LOGIResidual stress

Comp 11 of stress

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

residual stress2
BAY-LOGIResidual stress

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

validation of the fe model
BAY-LOGIValidation of the FE model

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

slide14
BAY-LOGI

NRI

BZF

The results of NRI and BZF are in very good correlation.

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

load displacement curves
BAY-LOGILoad-displacement curves

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

fe model
BAY-LOGIFE model
  • MSC.MARC 2005R3 code
  • 3D model
  • 20 nodes hexahedron elements
  • J-integral calculation

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

boundary conditions
BAY-LOGIBoundary conditions

Only one quarter of the specimen was simulated.

Symmetry condition

Total applied force

2

Total applied force

2

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

j integral calculation
Straight crack front

BAY-LOGI

J-integral calculation

J-integral values along the crack front at max loading

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

j integral calculation1
Straight crack front

BAY-LOGI

J-integral calculation

J-integral valueshistory plot

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

real crack front
1E7

1E4

1E2

BAY-LOGI

Real crack front

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

j integral along the crack front
Real crack front

BAY-LOGI

J-integral along the crack front

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

j integral history plot
Real crack front

BAY-LOGI

J-integral history plot

J-integral valueshistory plot

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

conclusion
BAY-LOGIConclusion
  • In case of short straight and short real cracks the difference of the J-integral values is not significant.
  • In case of deep crack more accurate J-integral value was resulted, if real crack front was modelled.
  • Residual stress was considered, and this calculation is validated by NRI data.
  • FE models were also validated by LLD curve of NRI.

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

possibilities for further investigations
BAY-LOGIPossibilities for further investigations
  • Weibull stress calculation based on the Beremin-model.
  • T-stress calculation.

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

thank you for your kind attention
BAY-LOGIThank you for your kind attention!

2nd Hungarian-Ukrainian Joint Conference – Kyiv, 2007

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