Numerical evaluation of probabilistic fracture parameters using WSTRESS

Engineering Computations (Swansea, Wales)

Volumn 15, Issue 1, 1998, Pages 49-71

  Ruggieri, Claudio ^a   Dodds Jr , Robert H ^b  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SOFTWARE; CRACKS; FINITE ELEMENT METHOD; PROBABILITY; STATISTICAL METHODS; STEEL; STRESSES; ASYMPTOTIC STABILITY; CRACK PROPAGATION; FRACTURE TOUGHNESS; PARAMETER ESTIMATION; PLASTIC DEFORMATION; RANDOM PROCESSES; SENSITIVITY ANALYSIS; STRESS ANALYSIS;

STRUCTURAL INTEGRITY; WEIBULL STRESS; CRACKED STRUCTURES; PROBABILISTIC FRACTURE; SCALING MODEL; STRUCTURAL COMPONENTS;

FRACTURE; FERRITE;

EID: 0031678263     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644409810200686     Document Type: Review

References (54)

1. Al-Ani, A.M. and Hancock, J.W. (1991), "J-dominance of short cracks in tension and bending", Journal of Mechanics and Physics of Solids, Vol. 39, pp. 23-43.
2. Anderson, T.L. and Dodds, R.H. (1991), "Specimen size requirements for fracture toughness testing in the ductile-brittle transition region", Journal of Testing and Evaluation, Vol. 19, pp. 123-34.
3. Averbach, B.L. (1965), "Micro and Macro Formation", International Journal of Fracture Mechanics, Vol. 1, pp. 272-90.
4. Bakker, A. and Koers, R.W.J. (1991), "Prediction of cleavage fracture events in the brittle-ductile transition region of a ferritic steel" in Blauel and Schwalbe (Eds), Defect Assessment in Components - Fundamentals and Applications, ESIS 1EG9, Mechanical Engineering Publications, London, pp. 613-32.
5. Batdorf, S.B. and Crose, J.G. (1974), "A statistical theory for the fracture of brittle structures subjected to nonuniform polyaxial stresses", Journal of Applied Mechanics, Vol. 41, pp. 459-64.
6. Beremin, F.M. (1983), "A local criterion for cleavage fracture of a nuclear pressure vessel steel", Metallurgical Transactions, Vol. 14A, pp. 2277-87.
7. Betegon, C. and Hancock, J.W. (1991), "Two-parameter characterization of elastic-plastic crack tip fields" Journal of Applied Mechanics, VoL 58, pp. 104-13.
8. Bruckner-Foit, A., Ehl, W., Munz, D. and Trolldenier, B. (1990), "The size effect of microstructural implications of the weakest link model", Fatigue and Fracture of Engineering Materials and Structures, Vol. 13, pp. 185-200.
9. Courant, R. and John, F. (1965), Introduction to Calculus and Analysis, Vol. I, John Wiley & Sons, New York, NY.
10. Curry, D.A. and Knott, J.F. (1976), "The relationship between fracture toughness and microstructure in the cleavage fracture of mild steel", Metal Science, VoL 10, pp. 1-10.
11. c)", International Journal of Fracture, VoL 48, pp. 1-22.
12. Du, Z.-Z. and Hancock, J.W. (1991), "The effect of non-singular stresses on crack-tip constraint", Journal of Mechanics and Physics of Solids, VoL 39, pp. 555-67.
13. Evans, A.G. (1978), "A general approach for the statistical analysis of multiaxial fracture", Journal of American Ceramic Society, Vol. 61, pp. 302-8.
14. Evans, A.G. and Langdon, T.G. (1976) "Structural ceramics", in Chalmers, B. (Ed.), Progress in Materials Science, Vol. 21, Pergamon Press, New York, NY.
15. Feller, W. (1957), Introduction to Probability Theory and Its Application, Vol. I, John Wiley & Sons, Inc., New York, NY.
16. Freudenthal, A.M. (1968), "Statistical approach to brittle fracture", in Liebowitz, H. (Ed.), Fracture: An Advanced Treatise. Volume II, Academic Press, New York, NY, pp. 592-619.
17. Griffith, A.A. (1920), "The phenomenon of rupture and flow in solids", Philosophical Transactions of the Royal Society, Vol. A221, pp. 163-98.
18. Gumbel, E.J. (1958), Statistics of Extremes, Columbia University Press.
19. Gurson, A.L. (1977), "Continuum theory of ductile rupture by void nucleation and growth: Part I - yield criteria and flow rules for porous ductile media", Journal of Engineering Materials and Technology, Vol. 99, pp. 2-15.
20. Hughes, T.J. (1980), "Generalization of selective integration procedures to anisotropic and nonlinear media", International Journal for Numerical Methods in Engineering, Vol. 15, pp. 1413-18.
21. Hutchinson, J.W. (1983) "Fundamentals of the phenomenological theory of nonlinear fracture mechanics", Journal of Applied Mechanics, Vol. 50, pp. 1042-51.
22. Kendall, M.G. and Stuart, A. (1967), The Advanced Theory of Statistics, 2nd ed., Hafner, New York, NY.
23. Koppenhoefer, K., Gullerud, A., Ruggieri, C., Dodds, R. and Healy, B. (1994), "WARP3D: dynamic nonlinear analysis of solids using a preconditioned conjugate gradient software architecture", Structural Research Series (SRS) 596, UILU-ENG-94-2017, University of Illinois at Urbana-Champaign.
24. Lin, T., Evans, A.G. and Ritchie, R.O. (1986), "A statistical model of brittle fracture by transgranular cleavage", Journal of Mechanics and Physics of Solids, Vol. 21, pp. 263-77.
25. Low, J.R. (1953), "Relation of properties to microstructure". Transactions of the American Society of Metals, Vol. 46A, pp. 163-79.
26. Mann, N.R., Schafer, R.E. and Singpurwalla, N.D. (1974), Methods for Statistical Analysis of Reliability and Life Data, John Wiley & Sons, New York, NY.
27. Miller, R.G. (1981), Survival Analysis, John Wiley & Sons, New York, NY.
28. Minami, F., Bruckner-Foit, A. and Trolldenier, B. (1990), "Numerical procedure for determining Weibull parameters based on the local approach", in 8th European Conference on Fracture (ECF8), Vol. I, Turin, Italy, pp. 76-81.
29. Minami, F., Bruckner-Foit, A., Munz, D. and Trolldenier, B. (1992), "Estimation procedure for the Weibull parameters used in the local approach", International Journal of Fracture, Vol. 54, pp. 197-210.
30. Mudry, F (1987), "A local approach to cleavage fracture", Nuclear Engineering and Design, Vol. 105, pp. 65-76.
31. O'Dowd, N.P. and Shih, C.F (1991), "Family of crack-tip fields characterized by a triaxiality parameter: Part I structure of fields", Journal of the Mechanics and Physics of Solids, Vol. 39 No. 8, pp. 989-1015.
32. O'Dowd, N.P. and Shih, C.F. (1992), "Family of crack-tip fields characterized by a triaxiality parameter: Part II - fracture applications". Journal of the Mechanics and Physics of Solids, Vol. 40, pp. 939-63.
33. Parks, D.M. (1992), "Advances in characterization of elastic-plastic crack-tip fields", in Argon, A.S. (Ed), Topics in Fracture and Fatigue, Springer Verlag, pp. 59-98.
34. Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P. (1992), Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed., Cambridge University Press.
35. Ritchie, R.O., Knott, J.F. and Rice, J.R. (1973), "On the relationship between critical tensile stress and fracture toughness in mild steel", Journal of Mechanics and Physics of Solids, Vol. 21, pp. 395-410.
36. Ruggieri, C. and Dodds, R.H (1996a), "WSTRESS numerical evaluation of probabilistic fracture parameters", Structural Research Series (SRS) 608, UELU-ENG-95-2013, University of Illinois at Urbana-Champaign.
37. Ruggieri, C. and Dodds, R.H. (1996b), "Probabilistic modeling of brittle fracture including 3-D effects on constraint loss and ductile tearing", Proceedings, 1st European Mechanics of Materials Conference on Local Approach to Fracture (1986-1996), Fontainbleau, France, 9-11 September.
38. Ruggieri, C. and Dodds, R.H. (1997) "Constraint and ductile tearing effects in statistical analyses of cleavage fracture", to appear in International Journal of Fracture.
39. Ruggieri, C, Minami, F. and Toyoda, M. (1992a), "The local approach to the effect of notch depth on fracture toughness", in 9th European Conference on Fracture (ECF9), Vol. 1, Varna, Bulgaria, pp. 621-6.
40. Ruggieri, C., Minami, F. and Toyoda, M. (1992b), "Local approach to notch depth dependence of CTOD results", Journal of The Society of Naval Architects of Japan, Vol. 171, pp. 493-99.
41. Ruggieri, C., Minami, F. and Toyoda, M. (1995), "A statistical approach for fracture of brittle materials based on the chain-of-bundles model", Journal of Applied Mechanics, Vol. 62, pp. 320-28.
42. Smith, E. (1968) "Cleavage fracture in mild steel", International Journal of Fracture Mechanics, Vol. 4, pp. 131-45.
43. Tetelman, A.S. and McEvily, A.J. (1967), Fracture of Structural Materials, John Wiley & Sons, New York, NY.
44. Thoman, D.R., Bain, L.J. and Antle, C.E. (1969), "Inferences on the parameters of the Weibull distribution", Technometrics, Vol. 11, pp. 445-60.
45. Toyoda, M., Minami, F., Matsuo, T, Hagiwara, Y. and Inoue, T. (1991), "Effect of work hardening properties of high strength steels on cleavage/ductile fracture resistance", Prep. National Meeting of the Japan Welding Society, Vol. 49, pp. 112-13, (in Japanese).
46. Tvergaard, V. (1981), "Influence of voids on shear band instabilities under plane strain conditions", International Journal of Fracture, Vol. 17, pp. 389-407.
47. Wallin, K., Saario, T. and Torronen, K. (1984), "Statistical model for carbide induced brittle fracture in steel", Metal Science, Vol. 18, pp. 13-16.
48. Wang, Y.Y. (1993), "On the two-parameter characterization of elastic-plastic crack-front fields in surface-cracked plates", in Hacket et al (Eds), Constraint Effects in Fracture, ASTM STP 1171, American Society for Testing and Materials, Philadelphia, pp. 120-38.
49. Weibull, W. (1939), "The phenomenon of rupture in solids", Ingeniors VetenskapsAkademien, Handlingar, Vol. 153, pp. 55.
50. Xia, L. and Shih, C.F. (1995a), "Ductile crack growth - L A numerical study using computational cells with microstructurally-based length scales", Journal of the Mechanics and Physics of Solids, Vol. 43, pp. 233-59.
51. Xia, L. and Shih, C.F. (1995b), "Ductile crack growth - II. Void nucleation and geometry effects on macroscopic fracture behavior", Journal of the Mechanics and Physics of Solids, Vol. 43, pp. 1953-81.
52. Xia, L. and Shih, C.F. (1996), "Ductile crack growth - III. Statistical aspects of cleavage fracture after tearing", Journal of the Mechanics and Physics of Solids, Vol. 44, pp. 603-39.
53. Xia, L., Shih, C.F. and Hutchinson, J.W. (1995b), "A computational approach to ductile crack growth under large scale yielding conditions", Journal of the Mechanics and Physics of Solids, Vol. 43, pp. 398-413.
54. Zienkiewicz, O.C. (1989), The Finite Element Method, 3rd ed, McGraw-Hill, London.