Application of J-Q theory to the local approach statistical model of cleavage fracture

ASTM Special Technical Publication

Volumn 1321, Issue , 1997, Pages 296-308

  Yan, Cheng ^a   Wu, Shang Xian ^a   Mai, Yiu Wing ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Cleavage fracture; In plane constraint; Local approach theory; Lower bound toughness; Lower shelf and lower transition regions; Toughness scatter

Indexed keywords

LOCAL APPROACH THEORY; LOWER BOUND TOUGHNESS; LOWER SHELF TRANSITION REGIONS;

CONSTRAINT THEORY; CRACK INITIATION; FRACTURE TOUGHNESS; MATHEMATICAL MODELS; STATISTICAL METHODS;

FRACTURE MECHANICS;

EID: 0030703808     PISSN: 00660558     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (30)

1. Wu, S. X., Mai, Y. W., Cotterell, B., and Le, C. V., "Ductile-Brittle Fracture Transition due to Increasing Crack Length in a Medium Carbon Steel," Acta Metallurgica Mater., Vol.39, 1991, pp. 2527-2532.
2. Wu, S. X., Mai, Y. W., and Cotterell, B., "Ductile-Brittle Fracture Transition as a Result of Increasing In-Plane Constraint in a Medium carbon Steel," in Fracture Mechanics, ASTM STP 1207, J.D. Landes, D.E. McCabe and J.A.M. Boulet, Eds., American Society for Testing and Materials, Philadelphia, 1994, p. 376-386.
3. Sorem, W. A., Dodds, R. H., Jr., and Rolfe, S. T., "Effect of Crack Depth on Elastic-Plastic Fracture Toughness," International Journal of Fracture, Vol. 47, 1991, pp. 105-126.
4. Dodds, R. H., Jr., Anderson, T. L., and Kirk, M. T., "A Framework to Correlate a/W Ratio Effect on Elastic-Plastic Fracture Toughness (Jc)," International Journal of Fracture, Vol. 48, 1991, pp. 1-22.
5. Anderson, T. L., and Dodds, R. H., Jr., "Specimen Size Requirement for Fracture Toughness Testing in the Transition Region," Journal of Testing & Evaluation, Vol. 18, 1991, pp. 123-134.
6. Theiss, T. J., and Bryson, J. W., "Influence of Constraint on Fracture Toughness of Reactor Pressure Vessel Steel," Constraint Effect in Fracture, ASTM STP 1171, E.M. Hackett, K.H. Schwalbe and R.H. Dodds, Eds., American Society for Testing and Materials, Philadelphia, 1993, pp. 104-119.
7. McClintock, F. A., in Fracture: An Advanced Treaties, Vol.3, H. Liebowitz, Eds., Academic Press, New York, 1971, p. 47.
8. Wu, S. X., "Fracture Analysis and Toughness Measurement of Specimens with Deep and Shallow Crack", Ph.D. thesis, The University of Sydney, Sydney, Australia, 1990.
9. O'Dowd, N. P., and Shin, C. F., "Family of Crack-Tip Fields Characterized by a Triaxiality Parameter-I. Structure of Fields," Journal of Mechanics and Physics of Solids, Vol.39, 1991, pp. 898-1015.
10. O'Dowd, N. P., and Shih, C. F., "Family of Crack-Tip Fields Characterized by a Triaxiality Parameter-II. Fracture Application," ibid, Vol. 40, 1992, pp. 939-963.
11. O'Dowd, N. P., and Shih, C. F., "Two-Parameter Fracture Mechanics: Theory and Applications," in Fracture Mechanics, ASTM STP 1207, J.D. Landes, D.E. McCabe, and J.A.M. Boulet, Eds., American Society for Testing and Materials, Philadelphia, 1994, pp. 21-47.
12. Kirk, M. T., Koppenhoefer, K. C., and Shih, C. F., "Effect of Constraint on Specimen Dimensions Needed to Obtain Structurally Relevant Toughness Measures," in Constraint Effect in Fracture, ASTM STP 1171, E.M. Hackett, K.-H. Schwalbe and R.H. Dodds, Eds., American Society for Testing and Materials, Philadelphia, 1993, pp. 79-103.
13. Landes, J. D., and Shaffer, D. H., "Statistical Characterization of Fracture in the transition region," in Fracture Mechanics, ASTM STP 700, American Society for Testing and Materials, 1980, pp. 368-382.
14. Wallin, K., "The Scatter in KIC-Results," Engineering Fracture Mechanics, Vol. 19, 1984, pp. 1085-1093.
15. Wallin, K., "The Size Effect in KIC Results," Engineering Fracture Mechanics, Vol. 20, 1985, pp. 149-163.
16. Lin, T., Evans, A. G., and Ritchie, R. O., "Statistical Analysis of Cleavage Fracture ahead of Sharp Cracks and Round Notches," Acta Metallurgica, Vol. 34, 1986, pp. 2205-2216.
17. Godse, R., and Gurland, J., "A Statistical Model for Low Temperature Cleavage Fracture in Mild Steel," Acta Metallurgica, Vol. 37, 1989, pp. 541-548.
18. Beremin, F. M., "A Local Criterion for Cleavage Fracture of a Nuclear Pressure Vessel Steel," Metallurgical Transactions A, Vol. 14A, 1983, pp. 2277-2287.
19. Mudry, F., "A Local Approach to Cleavage Fracture," Nuclear Engineering and Design, Vol. 105, 1987, pp. 65-76.
20. Bakker, A., and Koers, R. W. J., "Prediction of Cleavage Fracture Events in the Brittle-Ductile Transition Region of a Ferrite Steel," in Defect Assessment in Components-fundamentals and Applications, ESIS Publication 9, J.G. Blauel and K.H. Schwalbe, Eds., Mechanical Engineering Publ. Ltd., London, UK, 1991, pp. 613-632.
21. Minami, F., Bruckner-Foit, Munz, A. D., and Trolldenier, B., "Estimation Procedure for the Weibull Parameter Used in the Local Approach," International Journal of Fracture, Vol. 54, 1992, pp. 197-210.
22. Wu, S. X., Mai, Y. W., and Cotterell, B., "Prediction of the Initiation of Ductile Fracture," Journal of Mechanics and Physics of Solids, Vol. 43, 1995, p. 793
23. Anderson, T. L., "A Combined Statistical and Constraint Model for the Ductile-Brittle Transition Region," in Nonlinear Fracture Mechanics: Volume-II-Elastic-Plastic Fracture, ASTM STP 995, J.D. Landes, A. Saxena and J.G. Merkle, Eds., American Society for Testing and Materials, Philadelphia, 1989, pp. 563-583.
24. McMeeking, R. M., "Finite Deformation Analysis of Crack-Tip Opening in Elastic-Plastic Materials and Implications for Fracture," Journal of the Mechanics and Physics of Solids, Vol.25, 1977, pp. 375-381.
25. Chen, J. H., Yan, C., and Sun, J., "Further Study on the Mechanism of Cleavage Fracture at Low Temperature," Acta Metallurgica. Mater, Vol. 42, 1994, pp. 251-261.
26. Heerens, J., Zerbst, U., and Schwalbe, K.-H., "Strategy for Characterizing Fracture Toughness in the Ductile to Brittle Transition Regime," Fatigue and Fracture of Engineering Materials and Structure, Vol. 16, 1993, pp. 1213-1230.
27. Zerbst, U., Heerens, J., and Schwalbe, K.-H., "Estimation of Lower Bound Fracture Resistance of Pressure Vessel Steel in the Transition Regime," Fatigue and Fracture of Engineering Materials and Structure, Vol. 16, 1993, pp. 1147-1160.
28. Griffith, J. R., and Owen, D. R. J., "An Elastic-Plastic Stress analysis for a Notched Bar in Plane Strain Bending," Journal of Mechanics and Physics of Solids, Vol. 19, 1971, pp. 419-431.
29. Ritchie, R. O., Knott, J. F., and Rice, J. R., "On the Relationship between Critical Tensile Stress and Fracture Toughness in Mild Steel," Journal of Mechanics and Physics of Solids, Vol. 21, 1973, pp. 395-410.
30. Metal Handbook, Ninth Edition, Vol. 9, American Society for Metals, Metals Park, Ohio, 1992, p. 205.