TECHNICAL PAPERS
May 1, 1990

Statistical Models for Analysis of Fatigue Life of Long Elements

Publication: Journal of Engineering Mechanics
Volume 116, Issue 5

Abstract

The paper discusses some of the existing models for the analysis of the fatigue life of long elements and points out possible sources of error when data from lab tests or short elements is extrapolated to predict behavior in large structural components. A discussion of the assumptions leading to conservative and nonconservative results is included. Two dependent models, namely a Marshall‐Olkin and a nonstationary Poisson model, are presented and their asymptotic behavior is analyzed. The nonstationary Poisson model is demonstrated to be the most general solution of an empirical model formulated by Bogdanoff and Kozin. An illustrative example of aplication is also given, and several alternative approaches are discussed. Finally, some practical conclusions are given.

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References

1.
Aczél, J. (1966). Lectures on functional equations and their applications. Academic Press, New York, N.Y.
2.
Andrä, W., and Saul, R. (1979). “Die Festigkeit, insbesondere Dauerfestigkeit langer Paralleldrahtbündel.” Die Bautechnik, Berlin, Germany, 56(4), 128–130 (in German).
3.
Birnbaum, Z. W., and Saunders, S. C. (1958). “A statistical model for life‐length of materials.” J. Amer. Statistical Assoc., 53, 151–159.
4.
Bogdanoff, J. L., and Kozin, F. (1987). “Effect of length on fatigue life of cables.” J. Engrg. Mech., 113(6), 925–940.
5.
Bolotin, V. V. (1981). Wahrscheinlichkeitsmethoden zur Berechnung von Konstruktionen. VEB Verlag für Bauwesen, Berlin, Germany (in German).
6.
Castillo, E. (1988). Extreme value theory in engineering. Academic Press, New York, N.Y.
7.
Castillo, E., et al. (1983). “The Box‐Jenkins model and the progressive fatigue failure of large parallel element stay‐tendons.” ASI‐NATO, Statistical extremes and applications, Lisbon, Portugal.
8.
Castillo, E., et al. (1984a). “Aplicacion de los modelos de series temporales al analisis estadistico de la resistencia de tendones de puentes atiraritados.” Anales de Ingenieria Mecánica, Madrid, Spain, Vol. 2, 379–382 (in Spanish).
9.
Castillo, E., et al. (1984b). “Influencia de la longitud en la resistencia a fatiga de tendones de puentes atirantados.” Anales de Ingenierla Mecánica, Vol. 2, 383–389, Madrid, Spain (in Spanish).
10.
Castillo, E., et al. (1985). “Statistical model for fatigue analysis of wires, strands and cables.” Int. Assoc. for Bridge and Struct. Engrg. (IABSE). Proc., P‐82/85, Zürich, Switzerland, 1–40.
11.
Castillo, E., et al. (1987). “A dependent fatigue lifetime model.” Communications in statistics, theory and methods, 16(4), 1181–1194.
12.
Epstein, B. (1954a). “Some theorems relevant to life testing from an exponential distribution.” Annals of Mathematical Statistics, 25, 373–381.
13.
Epstein, B. (1954b). “Truncated life tests in the exponential case.” Annals of Mathematical Statistics, 25, 555–564.
14.
Galambos, J. (1987). The asymptotic theory of extreme order statistics, 2nd Ed., Krieger, Malabar, Fla.
15.
Leadbetter, M. R., Lindgren, G., and Rootzen, H. (1983). Extremes and related properties of random sequences and processes. Springer‐Verlag, New York, N.Y.
16.
Marshall, A. W., and Olkin, I. (1967). “A multivariate exponential distribution,” JASA 62, 30–44.
17.
Matsukawa, A., et al. (1985). “Fatigue resistance analysis of parallel wire strand cables based on statistical theory of extreme,” Stahlbau, Berlin, Germany, 11(54), 326–335.
18.
Peirce, F. T. (1926). “Tensile tests for cotton yarns V. The weakest link: Theorems on the strength of long and composite specimens.” J. Textile Inst., 17, 1926, T355–368.
19.
Picciotto, R. (1970). “Tensile fatigue characteristics of sized polyester/viscose yarn and their effect on weaving performance,” thesis presented to North Carolina State University, at Raleigh, N.C., in partial fulfillment of the requirements for the degree of Master of Science.
20.
Slinger, R. I. (1964). “Some applications of statistical extreme value theory to yarn breakage.” Textile Res. J., 34, 5–10.
21.
Spencer‐Smith, J. L. (1947). “The estimation of fiber quality.” J. Textile Inst., 38, 257–272.
22.
Spindel, J. E., Board, B. R., and Haibach, E. (1979). The statistical analysis of fatigue test results. ORE (Office for Research and Experiments of the International Union of Railways), Utrecht, The Netherlands.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 116Issue 5May 1990
Pages: 1036 - 1049

History

Published online: May 1, 1990
Published in print: May 1990

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Authors

Affiliations

E. Castillo
Prof., Universidad de Cantabria, Departamento de Matemática Aplicada y Ciencias de la Computación, 39005 Santander, Spain
A. Fernández‐Canteli
Prof., Universidad de Oviedo, Departamento de Construcción, Escuela de Ingenieros Industriales, 33204 Gijón, Asturias, Spain
J. R. Ruiz‐Tolosa
Prof., Universidade de Cantabria, Departamento de Matemática Aplicada y Ciencias de la Computación, 39005 Santander, Spain
J. M. Sarabia
Prof., Universidad de Cantabria, Departamento de Economía, 39005 Santander, Spain

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