Effects of residual stresses on constraint and fracture behaviour of wide plates

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 454, Issue 1977, 1998, Pages 2505-2528

  Xu, W G ^a   Burdekin, F M ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Brittle fracture; Crack tip constant; Ductile fracture; Gt stress; Stress triaxiality; Welding residual stresses

Indexed keywords

EID: 33746678597     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1998.0268     Document Type: Article

References (51)

1. Beremin, F. M. 1981 Experimental and numerical study of the different stages in ductile rupture application to crack initiation and stable crack growth. In Three-dimensional constitutive relations and ductile fracture (ed. S. Nemat-Nasser), pp. 185-205'. Amsterdam: North-Holland.
2. Beremin, F. M. 1983 A local criterion for cleavage fracture of a nuclear pressure vessel steel. Metallurg. Trans. A 14, 2277-2287.
3. Bilby, B. A., Cardew, G. E., Goldthorpe M. R. & Howard, I. C. 1986 A finite element investigation of the effect of specimen geometry on the fields of stress and strain at the tips of stationary cracks. In Size effects in fracture. London: Mechanical Engineering Publications.
4. BSI 1991 British Standard BS 7448:1991. Fracture mechanics toughness tests: part 1. British Standards Institute.
5. Chell, G. G. & Curry, D. A. 1981 Mechanics and mechanisms of cleavage fracture. In Developments in fracture mechanics (cd. G. G. Chell), vol. 2, ch. 3. London: Applied Science Publishers.
6. Chiang, F. P. & Hareesh, T. V. 1988 Three-dimensional crack tip deformation: an experimental study and comparison to HRR field. Int. J. Fracture 36, 243-257.
7. Gurson, A. L. 1977 Continuum theory of ductile rupture by void nucleation and growth. I. Yield criteria and flow rules for porous ductile media. Trans. ASME: J. Engng Mater. Technol. H 99, 2-15.
8. Hancock, J. W. & Mackenzie, A. C. 1976 On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states. J. Mech. Phys. Solids 24, 147-169.
9. Hancock, J. W., Reuter, W. G. & Parks D. M. 1993 Constraint and toughness parameterized by T. In Constraint effects in fracture (ed. E. M. Hackett, K.-H. Schwalbe and R. H. Dodds), pp. 21-40. Philadelphia, PA: ASTM.
10. HKS 1995 ABAQUS user's manual v.5.5. Pawtucket, RI: Hibbitt, Karlsson & Sorensen, Inc.
11. Horn, C. L. & McMeeking, R. M. 1990 Large crack tip opening in thin elastic-plastic sheets. Int. J. Fracture 45, 103-122.
12. Howard, I. C., Li, Z. H. & Bilby, B. A. 1994 Ductile crack growth predictions for large centre cracked panels by damage modelling using three-dimensional finite element analysis. Fatigue Fracture Engng Mater. Struct. 17, 959-969.
13. Hutchinson, J. \V. 1968 Singular behaviour at the end of a tensile crack in a hardening material. J. Mech. Phys. Solids 16, 13-31.
14. Hutchinson, J. \V. 1983 Fundamentals of the phenomenological theory of nonlinear fracture mechanics. Trans. ASME: J. Appl. Mech. E 50, 1042-1050.
15. Kirk, M. T., Koppenhoefer, K. C. & Shih, C. F. 1993 Effect of constraint on specimen dimensions needed to obtain structurally relevant toughness measures. In Constraint effects in fracture (ed. E. M. Hackett, K.-H. Schwalbe & R. H. Dodds), pp. 120-138. Philadelphia, PA: ASTM.
16. Larsson, S. G. & Carlsson, A. J. 1973 Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials. J. Mech. Phys. Solids 21, 263-277.
17. Leggatt, R. H. & Hooton, D. G. 1988 The treatment of residual stress in defect assessment of austenitic fast reactor structures. ASME PVP, vol. 135, pp. 71-75.
18. Leggatt, R. H. & White, J. D. 1977 Predicting shrinkage and distortion in a welded plate. In Proc. Int. Con}, on Residual Stresses in Welded Construction and their Effects, pp. 119-132. London: The Welding Institute.
19. Li, Z. H., Bilby, B. A. & Howard, I. C. 1994 A study of the internal parameters of ductile damage theory. Fatigue Fracture Engng Mater. Structures 17, 1075-1087.
20. Lidbury, D. P. G., Sherry, A. H., Bilby, B. A., Howard, I. C., Li, Z. H. & Eripret, C. 1994 Prediction of the first spinning cylinder test using continuum damage mechanics. Nucl. Engng Design 152, 1-10.
21. Mackenzie, A. C., Hancock, J. W. & Brown, D. K. 1977 On the influence of state of stress on ductile failure initiation in high strength steels. Engng Fracture Mech. 9, 167-188.
22. McMeeking, R. M. & Parks, D. M. 1979 On criteria for J-dominance of crack-tip fields in large scale yielding. In Elastic-plastic fracture (ed. J. D. Landes et al.), ASTM STP 668, pp. 175-194. Philadelphia, PA: ASTM.
23. MCC 1994 An introduction to the IBM computer intensive facility RSS 101, 2nd edn. Manchester Computing Centre.
24. Nakamura, T. & Parks, D. M. 1988 Three-dimensional stress field near the crack front of a thin elastic plate. Trans. ASME: J. Appl. Mech. E 55, 805-813.
25. Nakamura, T. & Parks, D. M. 1992 Determination of elastic T-stress along three-dimensional crack fronts using an interaction integral. Int. J. Solids Structures 29, 1597-1611.
26. Newman Jr, J. R., Bigelow, C. A. & Shivakumar, K. N. 1993 Three-dimensional elastic-plastic finite-element analyses of constraint variations in cracked bodies. Engng Fracture Mech. 46, 1-13.
27. O'Dowd, N. P. & Shih, C. F. 1994 Two-parameter fracture mechanics: theory and applications. In Fracture mechanics (ed. J. D. Landes, D. E. McCabe & J. A. M. Boulet), ASTM STP 1207, vol. 24, pp. 21-47. Philadelphia, PA: ASTM.
28. Parks, D. M. 1991 Three-dimensional aspects of HRR-dominance. In Defect assessment in components: fundamentals and applications (ed. J. G. Blauel &: K.-H. Schwalbe ), pp. 205-231. London: Mechanical Engineering Publications.
29. Rice, J. R. &: Rosengren, G. F. 1968. Plane-strain deformation near a crack tip in a power-law hardening material. J. Mech. Phys. Solids 16, 1-12.
30. Rice, J. R. & Tracey, D. M. 1969 On the ductile enlargement of voids in triaxial stress fields. J. Mech. Phys. Solids 17, 201-217.
31. Ritchie, R. O., Knott, J. F. & Rice, J. R. 1973 On the relationship between critical tensile stress and fracture toughness in mild steel. J. Mech. Phys. Solids 21, 395-410.
32. Rousselier, G. 1981 Finite deformation constitutive relations including ductile fracture damage. In Three-dimensional constitutive relations and ductile fracture (ed. S. Nemat-Nasser), pp. 331-355. Amsterdam: North-Holland.
33. Rousselier, G. 1987 Ductile fracture models and their potential in local approach of fracture. Nucl. Engng Design 105, 97-111.
34. Rousselier, G. 1989 A methodology for ductile fracture analysis based on damage mechanics: an illustration of a local approach of fracture. In ASTM STP 995, pp. 332-354. Philadelphia, PA: ASTM.
35. Ruud, C. O. & Dimascio, P. S. 1981 A prediction of residual stress in heavy plate butt welds. J. Mater. Energy Systems 3, 62-65.
36. Shih, C. F. &: German, M. D. 1981 Requirements for a one parameter characterization of crack tip fields by HRR singularity. Int. J. Fracture 17, 27-43.
37. Shih, C. F., O'Dowd, N. P. & Kirk, M. T. 1993 A framework for quantifying crack tip constraint. In Constraint effects in fracture (ed. E. M. Hackett, K.-H. Schwalbe &: R. H. Dodds), ASTM STP 1171. Philadelphia, PA: ASTM.
38. Slatcher, S. 1986 A probabilistic model for lower-shelf fracture toughness: theory and application. Fatigue Fracture Engng Mater. Structures 9, 275-289.
39. Terada, H. & Nakajima, T. 1985 Analysis of stress intensity factor of a crack approaching welding bead. Int. J. Fracture 27, 83-90.
40. Tvergaard, V. 1981 Influence of voids on shear band instability under plane strain condition. Int. J. Fracture 7, 389-407.
41. Tvergaard, V. & Needleman, A. 1984 Analysis of the cup-cone fracture in round tensile bar. Ada. Metall 32, 157-169.
42. Ueda, Y. & Nakacho, K. 1986 Distributions of welding residual stresses in various welded joints of thick plates. Thins. Jap. Welding Res. Inst. 15, 113-124.
43. Ueda, Y., Yao, T., Nakacho, K. & Yuan, M. G. 1992. Prediction of welding residual stress, deformation and ultimate strength of plate panels. In Engineering design in Welded constructions, Proc. Int. Conf., Madrid, Spain, (International Institute of Welding). Pergamon.
44. Wang, Y.-Y. 1993 On the two-parameter characterization of elastic-plastic crack-front fields in surface-cracked plates. In Constraint effects in fracture (ed. E. M. Hackett, K.-H. Schwalbe & R. H. Dodds), ASTM STP 1171, pp. 120-138, Philadelphia, PA: ASTM.
45. Wells, A. A. 1961 Brittle fracture strengths of welded and notched 3 in thick steel plates. Br. Welding J. 8, 389-401.
46. Wu, X. R. & Carlsson, J. 1984 Welding residual stress intensity factors for half-elliptical surface cracks in thin and thick plates. Engng Fracture Mech. 19, 407-426.
47. Xu, W. G. & Burdekin, F. M. 1995a Effects of residual stresses on the stress and strain states at a crack front in a wide plate. Technical Report, Department of Civil and Structural Engineering, UMIST, UK.
48. Xu, W. G. & Burdekin, F. M. 19956 Effects of residual stresses on the stress and strain states at the front of a surface crack in a wide plate and implications for fracture. Technical Report, Department of Civil and Structural Engineering, UMIST, UK.
49. Xu, W. G. & Burdekin, F. M. 1995c Effects of residual stresses in SENB CTOD specimen on crack front constraint and implications for cleavage fracture. Technical Report, Department of Civil and Structural Engineering, UMIST, UK.
50. Xu, W. G. & Burdekin, F. M. 1995d Use of J-integral in residual stress conditions. Technical Report, Department of Civil and Structural Engineering, UMIST, UK.
51. Zhang, Z. L., Hauge, M. & Thaulow, C. 1996 Assessment of material mismatch constraint in a bimaterial elastic-plastic interface crack. In Proc. 2nd Int. Symp. on Mismatching of Welds, Interfaces and Performance of Strength Mismatched Welded or Bonded Joints, ReinstorfLiineburg, Germany, 24-26/4/96. GKSS Research Centre Geesthacht, Germany.