A probabilistic criterion for evaluating the goodness of fatigue crack growth models

Engineering Fracture Mechanics

Volumn 53, Issue 5, 1996, Pages 707-731

  Rocha, M M ^a   Schueller G I ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; FATIGUE OF MATERIALS; MARKOV PROCESSES; MATHEMATICAL MODELS; PROBABILITY;

BOGDANOFF-KOZIN (BK) MODEL; FATIGUE CRACK GROWTH (FCG) PHENOMENON; HOMOGENEOUS RANDOM FIELD (HRF) CRITERION;

CRACK PROPAGATION;

CRACK GROWTH; FATIGUE CRACKS; MODELLING-MATHEMATICAL; PROBABILISTIC APPROACH;

EID: 0030088381     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/0013-7944(95)00132-8     Document Type: Article

References (19)

1. P. Paris and F. Erdogan, A critical analysis of crack propagation laws. Trans. ASME 85, 528-534 (1963).
2. R. G. Forman, V. E. Kearney and R. M. Engle, Numerical analysis of crack propagation in cycled-loaded structures. J. bas. Engng 89, 459-464 (1967).
3. E. K. Priddle, High cycle fatigue crack propagation under random and constant load amplitude. Int. J. Press. Vess. Piping 4, 89-111 (1976).
4. J. S. Short and D. W. Hoeppner, A global/local theory of fatigue and crack propagation. Engng Fracture Mech. 33, 175-184 (1989).
5. K. Doliński, Stochastic modelling and statistical verification of crack growth under constant amplitude loading. Engng Fracture Mech. 43, 195-216 (1992).
6. D. A. Virkler, B. M. Hillberry and P. K. Goel, The statistical nature of fatigue crack propagation. J. Engng Mater. Technol. 101, 148-153 (1979).
7. H. Ghonem and S. Dore, Experimental study of the constant-probability crack growth curves under constant amplitude loading. Engng Fracture Mech. 27, 1-25 (1987).
8. M. F. Kanninen and C. H. Popelar, Advanced Fracture Mechanics. Oxford University Press, New York, U.S.A. (1985).
9. G. I. Barenblatt, Dimensional Analysis. Gordon and Breach Science, London (1987).
10. J. L. Bogdanoff and F. Kozin, On nonstationary cumulative damage models. J. appl. Mech. 49, 37-42 (1982).
11. M. B. Courtie and G. G. Garret, On the correlation between the C and m in Paris' equation for fatigue crack propagation. Engng Fracture Mech. 30, 49-58 (1988).
12. A. lost and J. Lesage, On the existence of a pivot point for stage II fatigue crack growth. Engng Fracture Mech. 36, 585-596 (1990).
13. M. B. Courtie, The irrepressible relationship between the Paris law parameters. Engng Fracture Mech. 40, 681-682 (1991).
14. K. Schittkowski, Theory, implementation and test of a nonlinear programming algorithm. Proc. Euromech-Colloquium 164 on Optimization Methods in Structural Design, pp. 122-132. University Siegen, Mannheim (1982).
15. Y. K. Lin, Some observations on the stochastic averaging method. Probabilistic Engng Mech. 1, 23-27 (1986).
16. F. Kozin and J. L. Bogdanoff, A critical analysis of some probabilistic models of fatigue crack growth. Engng Fracture Mech. 14, 59-89 (1981).
17. F. Kozin and J. L. Bogdanoff, Probabilistic models of fatigue crack growth: results and speculations. Nuclear Engng Design 115, 143-171 (1989).
18. K. Ortiz and A. S. Kiremidjian, Stochastic modeling of fatigue crack growth. Engng Fracture Mech. 29, 317-334 (1988).
19. F. Kozin and J. L. Bogdanoff, On the probabilistic modeling of fatigue crack growth. Engng Fracture Mech. 18, 623-632 (1983).