Abstract
In Section 18.1 the blocks method (in other words, annual maxima or Gumbel method) is applied to corrosion engineering. We are particularly interested in the service life of items exposed to corrosion. Our primary sources are the book by Kowaka et al., [37] and a review article by T. Shibata1.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Shibata, T. Application of extreme value statistics to corrosion. In [15], Vol. II, 327–336.
Laycock, P.J., Cottis, R.A. and Scarf, P.A. (1990). Extrapolation of extreme pit depths in space and time. J. Electrochem. Soc. 137, 64–69.
With reference given to Tsuge, H. (1983). Archive of 51st Corrosion Symposium, JSCE, page 16.
Scarf, P.A. and Laycock, P.J. (1994). Applications of extreme value theory in corrosion engineering. In: [15], Vol. II, 313–320.
Komukai, S. and Kasahara, K. (1994). On the requirements for a reasonable extreme value prediction of maximum pits on hot-water-supply copper tubing. In: [15], Vol. II, 321–326.
Wicksell, S.D. (1925). The corpuscle problem I. Biometrika 17, 84–99, and Wicksell, S.D. (1926). The corpuscle problem II. Biometrika 18, 152–172.
Hlubinka, D. (2003). Stereology of extremes; shape factor of spheroids. Extremes 6, 5–24.
Anderson, C.W. and Coles, S.G. (2002). The largest inclusions in a piece of steel. Extremes 5, 237–252.
Murakami, Y. and Usuki, H. (1989). Quantitative evaluation of effects of non-metallic inclusions on fatigue strength of high strength steel II: fatigue limit evaluation based on statistics for extreme values of inclusion size. Int. J. Fatigue 11, 299–307.
Murakami, Y., Uemura, Y. and Kawakami, K. (1989). Some problems in the application of statistics extreme values to the estimation of the maximum size of non-metallic inclusions in metals. Transactions Japan Soc. Mechan. Engineering 55, 58–62.
Yates, J.R., Shi, G., Atkinson, H.V., Sellars, C.M. and Anderson, C.W. (2002). Fatigue tolerant design of steel components based on the size of large inclusions. Fatigue Fract. Engng. Mater. Struct. 25, 667–676.
Takahashi, R. and Sibuya, M. (1996). The maximum size of the planar sections of random sheres and its application to metallurgy. Ann. Inst. Statist. Math. 48, 127–144, and Takahashi, R. and Sibuya, M. (1998). Prediction of the maximum size in Wicksell’s corpuscle problem. Ann. Inst. Statist. Math. 50, 361–377.
Kötzer, S. (2006). Geometric identities in stereological particle analysis. Image Anal. Stereol. 25, 63–74.
Rights and permissions
Copyright information
© 2007 Birkhäuser Verlag AG
About this chapter
Cite this chapter
(2007). Material Sciences. In: Statistical Analysis of Extreme Values. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7399-3_18
Download citation
DOI: https://doi.org/10.1007/978-3-7643-7399-3_18
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7230-9
Online ISBN: 978-3-7643-7399-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)