DOI QR코드

DOI QR Code

Assessment of In-plane Size Effect of Nuclear Materials Based on Damage Mechanics

손상역학에 근거한 원자력 재료의 평면크기 영향 분석

  • 장윤석 (성균관대학교 기계공학부) ;
  • 이태린 (성균관대학교 기계공학부) ;
  • 최재붕 (성균관대학교 기계공학부) ;
  • 석창성 (성균관대학교 기계공학부) ;
  • 김영진 (성균관대학교 기계공학부)
  • Published : 2006.04.01

Abstract

The influences of stress triaxiality on ductile fracture have been investigated for various specimens and structures. With respect to a transferability issue, recently, the interests on local approaches reflecting micromechanical specifics are increased again due to rapid progress of computational environments. In this paper, the applicability of the local approaches has been examined through a series of finite element analyses incorporating modified GTN and Rousselier models as well as fracture toughness tests. The ductile crack growth of nuclear carbon steels is assessed to verify the transferability among compact tension (CT) specimens with different in-plane size. At first, the basic material constants were calibrated for standard CT specimens and used to predict fracture resistance (J-R) curves of larger CT specimens. Then, the in-plane size effects were examined by comparing the numerically estimated J-R curves with the experimentally determined ones. The assessment results showed that the in-plane size effect should be considered for realistic engineering application and the damage models might be used as useful tool for ductile fracture evaluation.

Keywords

Damage Model;Ductile Fracture;Fracture Resistance Curve;In-plane Size Effect;Local Approach

References

  1. ASTM STP 1244, 1995, 'Constraint Effects in Fracture Theory and Applications,' American Society for Testing and Materials
  2. Kim, J.S., Cho, S.M., Kim, Y.J. and Kim Y.J., 2003, 'Specimen Thickness and Crack Depth Effects on J Testing and Crack Tip Constraint for Non-Standard Specimen,' Journal of Korean Society of Mechanical Engineers, Vol. 27, No. 9, pp. 1531-1538 https://doi.org/10.3795/KSME-A.2003.27.9.1531
  3. Betegon, C. and Hancock, J.W., 1991, 'Two Parameter Characterization of Elastic-Plastic Crack Tip Fields,' Journal of Applied Mechanics, Vol. 58, pp. 104-110 https://doi.org/10.1115/1.2897135
  4. O'Dowd, N.P. and Shih, C.F., 1991, 'Family of Crack-Tip Fields Characterized by a Triaxiality Parameter-I: Structure of Fields,' Journal of the Mechanics and Physics of Solids, Vol. 39, No. 8, pp. 989-1015 https://doi.org/10.1016/0022-5096(91)90049-T
  5. Chang, Y.S., Kim, Y.J. and Stumpfrock, L., 2004, 'Development of Cleavage Fracture Toughness Locus Considering Constraint Effects,' KSME International Journal, Vol. 18, No. 12, pp. 2158-2173
  6. Gurson, A.L., 1977, 'Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part 1 - Yield Criteria and Flow Rules for Porous Ductile Media,' Journal of Engineering Material and Technology, Vol. 99, pp. 2-15 https://doi.org/10.1115/1.3443401
  7. Rousselier, G., 1987, 'Ductile Fracture Models and Their Potential in Local Approach of Fracture,' Nuclear Engineering and Design, Vol. 105(1), pp. 97-111 https://doi.org/10.1016/0029-5493(87)90234-2
  8. Garrison, W.M. and Moody, N.R., 1987, 'Ductile Fracture,' Journal of the Physics and Chemistry of Solids, Vol. 48, No. 11, pp. 1035-1074 https://doi.org/10.1016/0022-3697(87)90118-1
  9. Bernauer, G. and Brocks, W., 2002, 'Micromechanical Modeling of Ductile Damage and Tearing - Results of a European Numerical Round Robin,' Fatigue and Fracture Engineering Materials and Structures, Vol. 25, pp. 363-384 https://doi.org/10.1046/j.1460-2695.2002.00468.x
  10. ASTM E8-87a., 1987, 'Standard Test Methods of Tension Testing of Metallic Materials,' Annual book of ASTM standards
  11. ASTM E21-87., 1987, 'Standard Test Methods for Elevated Temperature Tension Tests of Metallic Materials,' Annual book of ASTM standards
  12. Oldfield, W. et al., 1984, 'Fracture Toughness Prediction for Pressure Vessel Steels,' ASME MPC-24, pp.9-26
  13. ASTM E813-89., 1995, 'Standard Test Method for $J_{IC}$, a Measure of Fracture Toughness,' Annual book of ASTM standards
  14. ASTM E1152-95., 1995, 'Standard Test Method for Determining Fracture Resistance Curves,' Annual book of ASTM standards
  15. Wilsforf, H.G.F., 1983, 'The Ductile Fracture of Metals: a Microstructural Viewpoint,' Materials Science and Engineering, Vol. 59, pp. 1-19 https://doi.org/10.1016/0025-5416(83)90085-X
  16. Needleman, A. and Tvergaard, V., 1984, 'An Analysis of Ductile Rupture in Notched Bars,' Journal of the Mechanics and Physics of Solids, Vol. 32, No. 6, pp. 461-490 https://doi.org/10.1016/0022-5096(84)90031-0
  17. Tvergaard, V., 1982, 'On Localization in Ductile Materials Containing Spherical Voids,' International Journal of Fracture, Vol. 18, No. 4, pp. 237-251 https://doi.org/10.1007/BF00015686
  18. Tvergaard, V., 1981, 'Influence of Voids on Shear Band Instabilities Under Plane Strain Conditions,' International Journal of Fracture, Vol. 17, pp. 389-407 https://doi.org/10.1007/BF00036191
  19. Tvergaard, V. and Needleman, A., 1984, 'Analysis of the Cup-Cone Fracture in a Round Tensile Bar,' Acta Metallurgica, Vol. 32, No. 1, pp. 157-169 https://doi.org/10.1016/0001-6160(84)90213-X
  20. Zhang, Z., 1996, 'A Sensitivity Analysis of Material Parameters for the Gurson Constitutive Model,' Fatigue and Fracture Engineering Materials and Structures, Vol. 19, pp. 561-570 https://doi.org/10.1111/j.1460-2695.1996.tb00992.x
  21. Devaux, J.C., Motter, G., Balladon, P. and Tanon, A.P., 1987, 'Calibration of the Parameters of Ductile Fracture Damage Model on an Austenitic-Ferritic Duplex Welded Joint,' Nuclear Engineering and Design, Vol. 105, pp. 131-138 https://doi.org/10.1016/0029-5493(87)90237-8
  22. Eripret, C. and Rousselier, G., 1994, 'First Spinning Cylinder Test Analysis Using a Local Approach to Fracture,' Nuclear Engineering and Design, Vol. 152, pp. 11-18 https://doi.org/10.1016/0029-5493(94)90070-1
  23. Franklin, A.G., 1969, 'Comparison Between a Quantitative Microscope and Chemical Methods for Assessment of Non-Metallic Inclusions,' Journal of Iron and Steel Institute, Vol. 207, pp. 181-186
  24. Li, Z.H., Bilby, B.A. and Howard, I.C., 1994, 'A Study of the Internal Parameters of Ductile Damage Theory,' Fatigue and Fracture Engineering Materials and Structures, Vol. 17, pp. 1075-1087 https://doi.org/10.1111/j.1460-2695.1994.tb00836.x
  25. Gao, X., Faleskog, J., Shih, C.F. and Dodds Jr, R.H., 1998, 'Ductile Tearing in Part-Through Cracks: Experiments and Cell-Model Predictions,' Engineering Fracture Mechanics, Vol. 59, No. 6, pp. 761-777 https://doi.org/10.1016/S0013-7944(97)00174-4
  26. Gullerud, A.S., Gao, X., Dodds, R.H. and Haj-Ali, R., 2000, 'Simulation of Ductile Crack Growth Using Computational Cells: Numerical Aspects,' Engineering Fracture Mechanics, Vol. 66, pp. 65-92 https://doi.org/10.1016/S0013-7944(99)00147-2
  27. Leblond, J.B. and Devaux, J., 1997, 'Advances in the Numerical Simulation of Ductile Fracture,' 14th International Conference on Structural Mechanics in Reactor Technology, Lyon, France, G. 631-641
  28. Rousselier, G., 1987, 'Ductile Fracture Models and Their Potential in Local Approach of Fracture,' Nuclear Engineering and Design, Vol. 105, No. 1, pp. 97-111 https://doi.org/10.1016/0029-5493(87)90234-2