Application of Lambda Distributions and Bootstrap analysis to the prediction of fatigue lifetime and confidence intervals

International Journal of Fatigue

Volumn 28, Issue 3, 2006, Pages 223-236

  Bigerelle, M ^a,b   Najjar, D ^b   Fournier, B ^b   Rupin, N ^b   Iost, A ^b  

^a UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

^b UNIVERSITÉ LILLE 1   (France)

Author keywords

Bootstrap technique; Fatigue crack growth; Lambda Distribution; Lifetime prediction; Numerical simulation; Paris relationship; Statistical analysis

Indexed keywords

CRACK PROPAGATION; CRACKS; PROBABILITY DENSITY FUNCTION; STATISTICAL METHODS;

BOOTSTRAP TECHNIQUE; FATIGUE CRACK GROWTH; LIFETIME PREDICTION; PARIS RELATIONSHIP;

FATIGUE OF MATERIALS;

EID: 29144452532     PISSN: 01421123     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijfatigue.2005.06.033     Document Type: Article

References (24)

1. W.O. Soboyejo, W. Shen, J. Lou, C. Mercer, V. Sinha, and A.B.O. Soboyejo A probabilistic framework for the modelling of fatigue in a lamellar XD gamma titanium aluminide alloy Int J Fatigue 24 2002 69 81
2. P.L. Hall, and E. Strutt Probabilistic physics-of-failure models, for component reliabilities using Monte Carlo simulation and Weibull analysis: a parametric study Reliab Eng Syst Saf 80 3 2003 233 242
3. J.L.A. Ferreira, J.C. Balthazar, and A.P.N. Araujo An investigation of rail bearing reliability under real conditions of use Eng Fail Anal 10 6 2003 745 758
4. G. Lewis, S. Janna, and M. Carroll Effect of test frequency on the in-vitro fatigue life of acrylic bone cement Biomaterials 24 6 2003 1111 1117
5. Y.S. Petryna, D. Pfanner, F. Stangenberg, and W.B. Krätzig Reliability of reinforced concrete structures under fatigue Reliab Eng Syst Saf 77 3 2003 253 261
6. V. Pauchard, F. Grosjean, H. Campion-Boulharts, and A. Chateauminois Application of a stress-corrosion-cracking model to an analysis of the durability of glass/epoxy composites in wet environments Compos Sci Technol 62 4 2002 493 498
7. V. Pauchard, A. Chateauminois, F. Grosjean, and P. Odru In situ analysis of delayed fiber failure within water-aged GFRP under static fatigue conditions Int J Fatigue 24 2-4 2002 447 454
8. X. Diao A statistical equation of damage evolution Eng Fract Mech 52 1 1995 33 42
9. J.F. Caron, and A. Ehrlacher Modelling of fatigue microcracking kinetics in crossply composites and experimental validation Compos Sci Technol 59 9 1999 1349 1359
10. M. Nagode, and M. Fajdiga On a new method for prediction of the scatter of loading spectra Int J Fatigue 20 4 1998 271 277
11. M. Nagode, and M. Fajdiga A general multi-modal probability density function suitable for the rainflow ranges of stationary random processes Int J Fatigue 20 3 1998 211 223
12. P.C. Gope Determination of sample size for estimation of fatigue life by using Weibull or Lognormal distribution Int J Fatigue 21 8 1999 745 752
13. L. Ferry, D. Perreux, D. Varchon, and J. Le Bras Tensile failure of filament-wound pipes under long-term creep loading: a probabilistic analysis Compos Sci Technol 57 9-10 1997 1281 1288
14. K.M. Nikbin, M. Yatomi, K. Wasmer, and A. Webster Probabilistic analysis of creep crack initiation and growth in pipe components Int J Pressure Vessels Piping 80 7-8 2003 585 595
15. M. Liao, G. Shi, and Y. Xiong Analytical methodology for predicting fatigue life distribution of fuselage splices Int J Fatigue 23 Spl. 1 2001 177 185
16. M. Bigerelle, and A. Iost Bootstrap analysis of fatigue crack growth rate: application on the Paris' relationship and to lifetime prediction Int J Fatigue 21 4 1999 299 307
17. A. Krausz, X.W. Zhiven, and K. Krausz On the constitutive law of environment assisted fatigue: the physical meaning of the Paris type equations Zeitschrieft der Metallkunde 83 5 1992 356 363
18. P.C. Paris, and F. Erdogan A critical analysis of crack propagation laws J Basic Eng, ASME, Series D 55 1963 528 534
19. B. Efron, and R. Tibshirani Statistical data analysis in the computer age Science 253 1991 390 395
20. D. Najjar, M. Bigerelle, and A. Iost The computer based Bootstrap method as a tool to select a relevant surface roughness parameter Wear 254 2003 450 460
21. Z.A. Karian, and E.J. Dudewicz Fitting statistical distributions: the generalized Lambda Distribution and generalized Bootstrap method 2000 CRC Press
22. Z.A. Karian, and E.J. Dudewicz Fitting the generalized Lambda Distribution to data: a method based on percentiles Commun Stat: Simul Comput 28 3 1999 793 819
23. Lakhany, and Mausser Estimating the parameters of Generalized Lambda distribution ALGO Res Q 2000
24. Box, and Muller Annals of Statistics; 1958