Abstract
Very important terms of fatigue testing, i.e. fatigue strength and minimum life, are often interpreted ambiguously. To avoid this, introduction of compulsory definitions of these terms with regard to statistical methods of planning tests and analyzing their results seems to be urgent. The arc since % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaOaaaeaaca% WGqbaaleqaaaaa!36DD!\[\sqrt P \] transformation, which until now has proved to be an outstanding evaluation method with special regard to engineering purposes, is reviewed. Both the numerical and the graphical way of evaluation is discussed and associated probability papers are given.
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References
D. Dengel, Materialwissenschaft und Werkstofftechnik 20 (1989) 73–81.
R.E. Little and E.H. Jebe, Statistical Design of Fatigue Experiments, Applied Science Publishers Ltd, London (1975).
J.B. Wheeler, Manual on Statistical Planning and Analysis for Fatigue Experiments, ASTM Special Technical Publication No. 588, Philadelphia (1975).
R.A. Fisher, On the Dominance Ratio. Proceedings of the Royal Society (Edinburg) 42 (1921/22) 321–341.
Ch. Eisenhart, in Ch. Eisenhart, M.W. Hasbay and W.A. Wallis (eds), Selected Techniques of Statistical Analysis for Scientific and Industrial Research and Production and Management Engineering, McGraw-Hill Book Co., New York (1947) 395–416.
A. Hald, Statistical Theory with Engineering Applications, John Wiley & Sons, Inc., London (1952).
K. Stange, Angewandte Statistik, Springer-Verlag, Berlin (1970).
N.R. Draper and H. Smith, Applied Regression Analysis, Second Edition, Wiley Series in Probability and Mathematical Statistics, John Wiley & Sons, New York (1966).
R.A. Fisher and F. Yates, Statistical Tables for Biological, Agricultural and Medical Research, Sixth Edition, Oliver and Boyd, London (1963).
H. Perret, Konstruktion 3 (1951) 251–255.
D. Dengel, Zeitschrift für Werkstofftechnik 6 (1975) 253–261.
D. Dorff, Ph.D. thesis, Technical University of Berlin, Germany (1961).
M. Maeisz, Ph.D. thesis, Technical University of Berlin, Germany (1965).
W.W. Maennig, Ph.D. thesis, Technical University of Berlin, Germany (1966).
W.W. Maennig, Materialprüfung 12 (1970) 124–131.
D. Dengel, Ph.D. thesis, Technical University of Berlin, Germany (1967).
F.W. Sackmann, Ph.D. thesis, University of Braunschweig, Germany (1980).
F.W. Sackmann, Zeitschrift für Werkstofftechnik 12 (1981) 244–249.
M. Karim Khani and D. Dengel, Härterei-Technische Mitteilungen 47 (1992) 376–386.
M. Karim Khani, Materialwissenschaft und Werkstoffechnik 27 (1996) 190–198.
A. Panagopoulos and D. Dengel, Zeitschrift für Werkstofftechnik 15 (1984) 1–9.
H. Weber, Ph.D. thesis, Technical University of Berlin, Germany (1989).
E. Eckert, D. Dengel and H. Kunst, Härterei-Technische Mitteilungen 44 (1989) 296–302.
B.-J. Vorath, Zeitschrift für wirtschaftliche Fertigung 67 (1972) 412–418.
Probability Paper (Gaussian) with linear abscissa scale. DGQ 18-173, Order no. 32 784, Beuth Publication, Berlin, Germany.
Probability Paper (Gaussian) with log abscissa scale. DGQ 18–173, Order no. 32 785, Beuth Publication, Berlin, Germany.
Probability Paper (Weibull), Journal of Quality Technology 3 (1971) 2, 47.
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Dengel, D., Karim Khani, M. Arc sine % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaOaaaeaaca% WGqbaaleqaaaaa!36DD!\[\sqrt P \] transformation - an effective tool for graphical and numerical evaluation of planned Wöhler experiments. Int J Fract 80, 339–351 (1996). https://doi.org/10.1007/BF00018511
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DOI: https://doi.org/10.1007/BF00018511