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Erschienen in: Metallurgical and Materials Transactions A 12/2010

01.12.2010

Weibull Analysis of Mechanical Data for Castings: A Guide to the Interpretation of Probability Plots

verfasst von: Murat Tiryakioğlu, John Campbell

Erschienen in: Metallurgical and Materials Transactions A | Ausgabe 12/2010

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Abstract

The Weibull statistics used in the analysis of mechanical data from castings are reviewed. The insight that can be gained from the three-parameter analysis is introduced, and in particular, the meaning of the threshold value in the three-parameter Weibull distribution from a casting process standpoint is discussed. Weibull mixtures, which are necessary when different defect populations are present in castings, are discussed in detail. Data sets from the literature are reinterpreted for demonstration of the guidelines. Step-by-step procedures are outlined for analysis of Weibull mixtures and for fatigue life data sets with run-outs. The results indicate that knowledge of the casting process is necessary for the accurate interpretation of Weibull probability plots. Because the filling systems of most castings currently are designed poorly, a mixture of Weibull distributions can be expected to be the norm rather than the exception. A single Weibull distribution can be expected only in castings whose filling systems were designed so that no new damage to liquid metal takes place during filling.

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Literatur
1.
Zurück zum Zitat A.A. Griffith: Phil. Trans. Royal Soc. London Ser. A, 1921, vol. 221, pp. 163-98.CrossRefADS A.A. Griffith: Phil. Trans. Royal Soc. London Ser. A, 1921, vol. 221, pp. 163-98.CrossRefADS
3.
Zurück zum Zitat F.T. Pierce: J. Textile Inst., 1926, vol. 17, pp. T355-68. F.T. Pierce: J. Textile Inst., 1926, vol. 17, pp. T355-68.
5.
Zurück zum Zitat W. Weibull: Proc. Royal Swedish Inst. Eng. Res. (Ingenioersvetenskaps Akad. Handl.), Stockholm, Sweden, 1939, vol. 151, pp. 1–45. W. Weibull: Proc. Royal Swedish Inst. Eng. Res. (Ingenioersvetenskaps Akad. Handl.), Stockholm, Sweden, 1939, vol. 151, pp. 1–45.
6.
Zurück zum Zitat W. Weibull: Proc. Royal Swedish Inst. Eng. Res. (Ingenioersvetenskaps Akad. Handl.), Stockholm, Sweden, 1939, vol. 153, pp. 1–55. W. Weibull: Proc. Royal Swedish Inst. Eng. Res. (Ingenioersvetenskaps Akad. Handl.), Stockholm, Sweden, 1939, vol. 153, pp. 1–55.
7.
Zurück zum Zitat W. Weibull: J. Appl. Mech., 1951, vol. 13, pp. 293-97. W. Weibull: J. Appl. Mech., 1951, vol. 13, pp. 293-97.
8.
Zurück zum Zitat H. Zahedi, M. Emamy, A. Razaghian, M. Mahta, J. Campbell, and M. Tiryakioğlu: Metall. Mater. Trans. A., 2007, vol. 38A, pp. 659-70.CrossRef H. Zahedi, M. Emamy, A. Razaghian, M. Mahta, J. Campbell, and M. Tiryakioğlu: Metall. Mater. Trans. A., 2007, vol. 38A, pp. 659-70.CrossRef
9.
Zurück zum Zitat M. Tiryakioğlu: unpublished research, Alotech, 2006. M. Tiryakioğlu: unpublished research, Alotech, 2006.
10.
Zurück zum Zitat J. Campbell: Castings, Butterworth-Heinemann, London, UK, 1991, p. 274. J. Campbell: Castings, Butterworth-Heinemann, London, UK, 1991, p. 274.
11.
Zurück zum Zitat N.R. Green and J. Campbell: Mater. Sci. Eng. A, 1993, vol. 137, pp. 261-66. N.R. Green and J. Campbell: Mater. Sci. Eng. A, 1993, vol. 137, pp. 261-66.
12.
Zurück zum Zitat M. Tiryakioğlu, D. Hudak, and G. Ökten: Mater. Sci. Eng. A, 2009, vol. 527, pp. 397-99.CrossRef M. Tiryakioğlu, D. Hudak, and G. Ökten: Mater. Sci. Eng. A, 2009, vol. 527, pp. 397-99.CrossRef
13.
Zurück zum Zitat J. Campbell: Castings, 2nd ed., Elsevier, London, UK, 2003, p. 303. J. Campbell: Castings, 2nd ed., Elsevier, London, UK, 2003, p. 303.
14.
Zurück zum Zitat G.E. Byczynski and J. Campbell: In Advances in Aluminum Casting Technology II, Eds. M. Tiryakioğlu and J. Campbell, ASM INTERNATIONAL, Materials Park, OH, 2002, pp. 65-74. G.E. Byczynski and J. Campbell: In Advances in Aluminum Casting Technology II, Eds. M. Tiryakioğlu and J. Campbell, ASM INTERNATIONAL, Materials Park, OH, 2002, pp. 65-74.
15.
Zurück zum Zitat C. Nyahumwa, N.R. Green, and J. Campbell: Metall. Mater. Trans. A, 2001, vol. 32A, pp. 349-58.CrossRef C. Nyahumwa, N.R. Green, and J. Campbell: Metall. Mater. Trans. A, 2001, vol. 32A, pp. 349-58.CrossRef
16.
Zurück zum Zitat D. Casellas, R. Pérez, and J.M. Prado: Mater. Sci. Eng. A, 2005, vol. 398, pp. 171-79.CrossRef D. Casellas, R. Pérez, and J.M. Prado: Mater. Sci. Eng. A, 2005, vol. 398, pp. 171-79.CrossRef
17.
Zurück zum Zitat Q.G. Wang, D. Apelian, and D.A. Lados: J. Light Met., 2001, vol. 1, pp. 73-84.CrossRef Q.G. Wang, D. Apelian, and D.A. Lados: J. Light Met., 2001, vol. 1, pp. 73-84.CrossRef
18.
Zurück zum Zitat W.A. Shewhart: Economic Control of Quality of Manufactured Product, Van Nostrand, New York, NY, 1931. W.A. Shewhart: Economic Control of Quality of Manufactured Product, Van Nostrand, New York, NY, 1931.
19.
Zurück zum Zitat K.M. Gruenberg, B.A. Craig, B.M. Hillberry, R.J. Bucci, and A.J. Hinkle: Int. J. Fatigue, 2004, vol. 26, pp. 615-27.CrossRef K.M. Gruenberg, B.A. Craig, B.M. Hillberry, R.J. Bucci, and A.J. Hinkle: Int. J. Fatigue, 2004, vol. 26, pp. 615-27.CrossRef
20.
Zurück zum Zitat M. Tiryakioğlu, J.T. Staley, and J. Campbell: Mater. Sci. Forum, 2002, vol. 396-402, pp. 1315-20.CrossRef M. Tiryakioğlu, J.T. Staley, and J. Campbell: Mater. Sci. Forum, 2002, vol. 396-402, pp. 1315-20.CrossRef
21.
Zurück zum Zitat J. Campbell: Castings, 2nd ed., Elsevier, London, UK, 2003. J. Campbell: Castings, 2nd ed., Elsevier, London, UK, 2003.
23.
Zurück zum Zitat S.L. Fok, B.C. Mitchell, J. Smart, and B.J. Marsden: Eng. Fract. Mech., 2001, vol. 68, pp. 1171-79.CrossRef S.L. Fok, B.C. Mitchell, J. Smart, and B.J. Marsden: Eng. Fract. Mech., 2001, vol. 68, pp. 1171-79.CrossRef
24.
Zurück zum Zitat F.A. Holland, Jr., and E.V. Zaretsky: NASA Report No: TM-102000, 1989. F.A. Holland, Jr., and E.V. Zaretsky: NASA Report No: TM-102000, 1989.
25.
Zurück zum Zitat R.E. Zinkham: AFS Trans., 1989, vol. 97, pp. 959-68. R.E. Zinkham: AFS Trans., 1989, vol. 97, pp. 959-68.
26.
27.
Zurück zum Zitat S.K. Upadhyay and B. Mukherjee: IEEE Trans. Reliability, 2008, vol. 57, pp. 489-97.CrossRef S.K. Upadhyay and B. Mukherjee: IEEE Trans. Reliability, 2008, vol. 57, pp. 489-97.CrossRef
28.
Zurück zum Zitat Military Handbook 5F: Metallic Materials and Elements for Aerospace Vehicle Structures, Department of Defense, Washington, DC, 1990, pp. 9.16–20. Military Handbook 5F: Metallic Materials and Elements for Aerospace Vehicle Structures, Department of Defense, Washington, DC, 1990, pp. 9.16–20.
29.
Zurück zum Zitat E.S. Pearson: British Standard No. 600, 1935. E.S. Pearson: British Standard No. 600, 1935.
30.
Zurück zum Zitat C. Nyahumwa, N.R. Green, and J. Campbell: Metall. Mater. Trans. A, 2001, vol. 32A, pp. 349-58.CrossRef C. Nyahumwa, N.R. Green, and J. Campbell: Metall. Mater. Trans. A, 2001, vol. 32A, pp. 349-58.CrossRef
31.
Zurück zum Zitat Q.G. Wang, C. Davidson, J. Griffiths, and P. Crepeau: Metall. Mater. Trans. B, 2006, vol. 37B, pp. 887-95.CrossRefADS Q.G. Wang, C. Davidson, J. Griffiths, and P. Crepeau: Metall. Mater. Trans. B, 2006, vol. 37B, pp. 887-95.CrossRefADS
32.
Zurück zum Zitat J.T. Staley, Jr., M. Tiryakioğlu, and J. Campbell: Mater. Sci. Eng. A, 2007, vol. 465, pp. 136-45.CrossRef J.T. Staley, Jr., M. Tiryakioğlu, and J. Campbell: Mater. Sci. Eng. A, 2007, vol. 465, pp. 136-45.CrossRef
34.
Zurück zum Zitat M. Cox, M. Wickins, J.P. Kuang, R.A. Harding, and J. Campbell: Mater. Sci. Technol., 2000, vol. 16, pp. 1445-52.CrossRef M. Cox, M. Wickins, J.P. Kuang, R.A. Harding, and J. Campbell: Mater. Sci. Technol., 2000, vol. 16, pp. 1445-52.CrossRef
35.
Zurück zum Zitat C. Nyahumwa, N.R. Green, and J. Campbell: AFS Trans., 1998, vol. 106, pp. 215-23. C. Nyahumwa, N.R. Green, and J. Campbell: AFS Trans., 1998, vol. 106, pp. 215-23.
36.
Zurück zum Zitat B. Zhang, D.R. Poirier, and W. Chen: Metall. Mater. Trans. A, 1999, vol. 30A, pp. 2659-66.CrossRef B. Zhang, D.R. Poirier, and W. Chen: Metall. Mater. Trans. A, 1999, vol. 30A, pp. 2659-66.CrossRef
37.
Zurück zum Zitat C.A. Johnson: Fract. Mech. Ceram., 1983, vol. 5, pp. 365-86. C.A. Johnson: Fract. Mech. Ceram., 1983, vol. 5, pp. 365-86.
38.
Zurück zum Zitat C.D. Tarum: SAE Technical Paper, 1999-01-0055, 1999. C.D. Tarum: SAE Technical Paper, 1999-01-0055, 1999.
39.
Zurück zum Zitat L. Kunz, P. Lukáš, and R. Konečná: Int. J. Fatigue, 2010, vol. 32, pp. 908-13.CrossRef L. Kunz, P. Lukáš, and R. Konečná: Int. J. Fatigue, 2010, vol. 32, pp. 908-13.CrossRef
40.
Zurück zum Zitat C. Nyahumwa: Ph.D. Dissertation, University of Birmingham, UK, 1997. C. Nyahumwa: Ph.D. Dissertation, University of Birmingham, UK, 1997.
41.
42.
43.
Zurück zum Zitat J. Campbell: Castings, 2nd ed., Elsevier, New York, NY, 2003, pp. 57-61. J. Campbell: Castings, 2nd ed., Elsevier, New York, NY, 2003, pp. 57-61.
44.
Zurück zum Zitat Q.Y. Wang, J.Y. Berard, A. Dubarre, G. Baudry, S. Rathery, and C. Bathias: Fatigue Fract. Eng. Mater. Struct., 1999, vol. 22, pp. 667-72. Q.Y. Wang, J.Y. Berard, A. Dubarre, G. Baudry, S. Rathery, and C. Bathias: Fatigue Fract. Eng. Mater. Struct., 1999, vol. 22, pp. 667-72.
45.
Zurück zum Zitat B.R. Billmann, C.E. Antle, and L.L. Bain: Technometrics, 1972, vol. 14, pp. 831-40. CrossRef B.R. Billmann, C.E. Antle, and L.L. Bain: Technometrics, 1972, vol. 14, pp. 831-40. CrossRef
Metadaten
Titel
Weibull Analysis of Mechanical Data for Castings: A Guide to the Interpretation of Probability Plots
verfasst von
Murat Tiryakioğlu
John Campbell
Publikationsdatum
01.12.2010
Verlag
Springer US
Erschienen in
Metallurgical and Materials Transactions A / Ausgabe 12/2010
Print ISSN: 1073-5623
Elektronische ISSN: 1543-1940
DOI
https://doi.org/10.1007/s11661-010-0364-6

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