next up previous contents
Next: About this document Up: Bayesian Modelling of Short Previous: Growth Model for Constant

References

1
Air Accident Investigation Branch (AAIB), UK Department of Environment, Transport and Regions (1996) Bulletin No: 12/96 Ref: EW/G96/10/16 Category: 1.3. Available at http://www.open.gov.uk/aaib/ .
2
Bannantine, J.A., Comer, J.J. and Handrock, J.L. (1990) Fundamentals of Metal fatigue analysis, Englewood Cliffs, New Jersey : Prentice-Hall.
3
Berger, J.O. (1990) ``Robust Bayesian Analysis - Sensitivity to the Prior,'' Journal of Statistical Planning and Inference, 25: (3), pp. 303-328.
4
Beretta, S. and Clerici, P. (1996) ``Microcrack Propagation and Microstructural Parameters of Fatigue Damage,'' Fatigue & Fracture of Engineering Materials & Structures, 19: (9), pp. 1107-1115.
5
Bernardo, J.M., Smith, A.F.M. (1994) Bayesian Theory, Chichester, UK : Wiley.
6
Blom, A.F., Hedlund, A., Zhao, W., Fathulla, A., Weiss, B. and Stickler, R. (1986) ``Short Fatigue Crack Growth Behaviour in Al2024 and Al7475,'' in [32]. pp. 37-66.
7
Brooks, S.P. and Roberts, G.O. (1998) ``Assessing Convergence of Markov Chain Monte Carlo Algorithms,'' Statistics and Computing, 8: (4), pp. 319-335.
8
Brown, M.W. (1986) ``Interfaces Bewtween Short, Long, and Non-Propagating Cracks,'' in [32]. pp. 423-440.
9
Chib, S. and Greenberg, E. (1995) ``Understanding the Metropolis-Hastings Algorithm,'' The American Statistician 49: (4), pp. 327-335.
10
Connor, L.R. and Morell, A.J.H. (1964), Statistics in Theory and Practice, London : Pitman.
11
Cowles, M.K., and Carlin, B.P., (1996) ``Markov Chain Monte-Carlo Convergence Diagnostics: a Comparitive Study,'' Journal of the American Statistical Association, 91, pp. 883-904.
12
Cox, B.N. and Morris, W.L. (1987) ``A Probabilistic Model of Short Fatigue Crack Growth,'' Fatigue and Fracture of Engineering Materials and Structures 10: (5), pp. 419-428.
13
Cox, B.N. and Morris, W.L. (1987) ``Model Based Statistical Analysis of Short Fatigue Crack Growth in Ti6A1-25n-4Zr-6Mo,'' Fatigue and Fracture of Engineering Materials and Structures 10: (6), pp. 429-446.
14
Crandall, S.H. and Mark, W.D. (1963) Random Vibration in Mechanical Systems, New York : Academic Press.
15
Dowling, N.E. (1972) ``Fatigue Failure Predictions for Complicated Stress Strain Histories,'' Journal of Materials, 7: (1), pp. 71-87.
16
French, S. and Smith, J.Q., (1997) The Practice of Bayesian Analysis, London : Arnold.
17
Gao, N., Brown, M.W. and Miller, K.J. (1995) ``Crack Growth Morphology and Microstructural Changes in 316 Stainless Steel Under Creep-Fatigue Cycling,'' Fatigue & Fracture of Engineering Materials & Structures 18: (12), pp. 1407-1421.
18
Gelman, A. and Rubin, D.B. (1992) ``Inference from Iterative Simulation Using Multiple Sequences,'' (with discussion), Statistical Science, 7, pp. 457-511.
19
Hastings, W.K. (1970) ``Monte Carlo Sampling Methods Using Markov Chains and their Applications,'' Biometrika, 57, pp. 97-109.
20
Jarner, S.F. (1999) ``Geometric Ergodicity of Metropolis Algorithms,'' contributed paper at 22nd Research Students Conference in Probability and Statistics, Bristol, U.K.
21
Jeffrey, H. (1961), Theory of Probability, 3rd edition, Oxford: Clarendon Press.
22
Kachanov, L.M. (1986) Introduction to Continuum Damage Mechanics, Netherlands : Martinus-Nijhoff Publishers.
23
Kirkner, D.J., Sobczyk, K. and Spencer, B.F. (1999) ``On the Relationship of the Cumulative Jump Model for Random Fatigue to Empirical Data,'' Probabilistic Engineering Mechanics 14: (3), pp. 257-267.
24
Kitagawa, H. and Takahashi, S. (1976) ``Applicability of Fracture Mechanics to Very Small Cracks or the Cracks in the Early Stage,'' Proc. 2nd Int. Conf. Mech. Behaviour of Materials, Boston.
25
Kleijnen, J.P.C. (1974) Statistical Techniques in Simulation, New York : Marcel Dekker.
26
Lauritzen, S.L. and Spiegelhalter, D.J. (1988) ``Local Computations with Probabilities on Graphical Structures and their Application to Expert Systems,'' Journal of the Royal Statistical Society. Series B (Methodological), 50, pp. 157-224.
27
Lee, P.M. (1997) Bayesian Statistics: An Introduction, 2nd edition, London : Arnold.
28
McCormack, B.A.O. (1997) On Damage Accumulation in Cemented Hip Replacements, PhD Thesis, National University of Ireland : Dublin.
29
McCormack, B.A.O., Walsh, C.D., Wilson, S.P. and Prendergast, P.J. (1998) ``A Statistical Analysis of Microcrack Accumulation in PMMA Under Fatigue Loading: Applications to Orthopaedic Implant Fixation,'' International Journal of Fatigue 20: (8), pp. 581-593.
30
Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.H. and Teller, E. (1953) ``Equations of State Calculations by Fast Computing Machines,'' Journal of Chemical Physics, 21, pp. 1087-1092.
31
Miller, K.J., Mohamed, H.J. and de los Rios, E.R. (1986) ``Fatigue Damage Accumulation Above and Below the Fatigue Limit,'' in [32]. pp. 491-512.
32
Miller, K.J. and de los Rios, E.R. (1986) The Behaviour of Short Fatigue Cracks, London : Mechanical Engineering Publications.
33
Mood, A., Graybill, F. and Boes, D. (1963) ``Introduction to the Theory of Statistics,'' New York : McGraw-Hill.
34
Morgenthal, G.W. (1961) ``The Theory and Application of Simulations in Operations Research,'' in Progress in Operations Research eds. Ackoff, R.L., New York : Wiley.
35
Murdoch, D.J. and Green, P.J. (1998) ``Exact Sampling from a Continuous State Space,'' Scandinavian Journal of Statistics, 25:(3), pp. 483-502.
36
Murdoch, D.J. and Rosenthal, J.S. (1998) ``Regeneration Methods and Exact Sampling,'' contributed paper at Sixth Valencia International Meeting on Bayesian Statistics Alcossebre, Spain.
37
O'Hagan, A. (1998) ``Eliciting Expert Beliefs in Substantial Practical Applications,'' Statistician 47: (1), pp. 21-35.
38
O'Hagan, A. (1994) Kendall's Advanced Theory of Statistics Volume 2B, London : Arnold.
39
Plumtree, A. and Schäfer, S. (1986) ``Initiation and Short Crack Behaviour in Aluminium Alloy Castings,'' in [32]. pp. 215-228.
40
Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P. (1996) Numerical Recipes in C - The Art of Scientific Computing, 2nd edition reprint, Cambridge, U.K. : Cambridge University Press.
41
Rice, J.R. (1968) ``A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks,'' Journal of Applied Mechanics, Transactions ASME
42
Rice, S.O. (1944) ``Mathematical Analysis of Random Noise,'' Bell Systems Technical Journal, 23, pp. 282-332. 24, pp. 46-156 (1945). Also published (1954) in Selected Papers on Noise and Stochastic processes ed. Wax, N., New York: Dover.
43
Roberts, G.O. and Rosenthal, J. ``Convergence of Slice Sampler Markov Chains,'' Journal of the Royal Statistical Society. Series B (Methodological), 61 : (3), pp. 643-660.
44
Robinson, M. and Crowder, M. (1999) ``Statistical Modelling of Fatigue Crack Growth,'' at Young Statisticians Meeting 1999, Bristol, England. Available at http://www.mcs.surrey.ac.uk/Personal/M.Robinson/Posters/ .
45
Rolfe, S.T. and Barsom, J.M. (1977) Fracture and Fatigue Control in Structures, New Jersey: Prentice Hall.
46
Royal Statistical Society Conference (1997) Practical Bayesian Statistics 4, University of Nottingham, England.
47
Smith, I.F.C. (1986) ``Applying Fatigue Research to Engineering Design,'' in [32], pp. 15-26.
48
Sobczyk, K. and Trebecki, J. (1991) ``Cumulative Jump Correlated Model for Random Fatigue,'' Engineering Fracture Mechanics, 40: (1), pp. 201-210.
49
Sobczyk, K. and Trebecki, J. (1990) ``Maximum Entropy Principle in Stochastic Dynamics,'' Probabilistic Engineering Mechanics 5: (3), pp. 102-110.
50
Spiegelhalter, D.J., Best, N.G., Gilks, W.R. and Inskip, H. (1995) ``Hepatitis B: a Case Study in MCMC Methods,'' in Markov Chain Monte Carlo in Practice, eds. Gilks, W.R., Richardson, S. and Spiegelhalter, D.J., London : Chapman and Hall. pp. 21-43.
51
Spiegelhalter, D.J., Thomas, A. and Best, N. (1998) WinBUGS 1.1.1 Software Package. See also [52].
52
Spiegelhalter, D.J., Thomas, A., Best, N. and Gilks, W. (1996) BUGS Bayesian inference Using Gibbs Sampling Manual (version ii), http://www.mrc-bsu.cam.ac.uk/bugs/ .
53
Taylor, D., Li, J. and Giese, A. (1995) ``Short Fatigue Crack Growth in Cast Iron Described Using P-a Curves,'' International Journal of Fatigue 17 : (3), pp. 201-206.
54
Tierney, L. (1994) ``Markov Chains for Exploring Posterior Distributions,'' Annals of Statistics, 22: (4), pp. 1701-1728.
55
van Noortwijk, J., Kok, M. and Cooke, R.M. (1997) ``Optimal Decisions that Reduce Flood Damage along the Meuse: an Uncertainty Analysis,'' in [16].
56
Wakefield, J. (1996) ``The Bayesian Analysis of Population Pharmacokinetic Models,'' Journal of the American Statistical Association, 91: (433), pp. 62-75
57
Walsh, C.D. and Wilson, S.P. (1998) ``Reliability Modelling and Inference Through Fatigue Crack Growth,'' in Frontiers in Reliability, eds. Basu, A.P., Basu, S.K. and Mukhopadhyay, S., Singapore : World Scientific Publishing Company. pp. 397-410.
58
Yang, J.N., Salivar, G.C. and Annis, C.G. (1983) ``Statistical Modeling of Fatigue-Crack Growth in a Nickel Based Superalloy,'' Engineering Fracture Mechanics, 18: (2), pp. 257-270.
59
Yushanov, S.P. and Joshi, S.P. (1995) ``Stochastic Modeling of Fracture Processes in Fiber-Reinforced Composites,'' AIAA Journal, 33: (9), pp. 1689-1697.
60
Zhao, Y.X., Gao, Q. and Wang, J.N. (1999) ``Interaction and Evolution of Short Fatigue Cracks,'' Fatigue & Fracture of Engineering Materials & Structures 22: (6), pp. 459-467.


Cathal Walsh
Sat Jan 22 17:09:53 GMT 2000