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Decreasing the number of test specimens by utilizing both fracture stress and fracture location for the estimation of Weibull parameter

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Abstract

In a bending load test for brittle materials, such as ceramics for spacecraft and aircraft, decreasing the number of test specimens required is a crucial problem. This paper discusses the effectiveness of using the information of both fracture stress and fracture location to decrease the number of specimens required to obtain the same precision as the Weibull estimator. The following results were obtained: It was found that by adding the fracture location information, the precision of the Weibull parameter estimation under the optimal design became 1.5–1.9 times better compared with the case of using only the fracture stresses. This means the number of samples necessary to attain the same precision becomes 1/1.5–1/1.9. Tables and figures which give information on the number of samples necessary to attain the required precision are given.

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References

  1. W. Weibull, Ingeniors Ventenskaps Akademiens Handlingar 151 (1939) 1.

    Google Scholar 

  2. H. L. Oh and I. Finnie, Intern. J. Fract. Mech. 6 (1970) 287.

    Google Scholar 

  3. S. Aoki and M. Sakata, Int. J. Fracture 16 (1980) 459.

    Google Scholar 

  4. S. Aoki et al., “Statistical Approach to Time-dependent Failure of Brittle Materials,” Int. J. Fracture 21 (1983) 285.

    Google Scholar 

  5. Y. Matsuo and K. Kitakami, J. Ceram. Soc. Jpn. 93 (1985) 757 (in Japanese).

    Google Scholar 

  6. Y. Matsuo and K. Kitakami, “On the Statistical Theory of Fracture Location Combined with Competing Risk Theory,” in Fracture Mechanics of Ceramics, Vol. 17, edited by R. C. Bradt et al. (Plenum Pub. Corp., 1986) p. 223.

  7. K. Suzuki, T. Nakamoto and Y. Matsuo, “Optimal Design for Estimating Weibull Shape Parameter Using Both Fracture Stress and Fracture Locations,” Technical Report, University of Electro-Communications, Dept. of Communications and Systems Engineering, 2002, UEC-CAS-2002-01.

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Authors and Affiliations

  1. Department of Metallurgy & Ceramic Science, Tokyo Institute of Technology, Meguro-ku, Tokyo, 152-8552, Japan

    Y. Matsuo

  2. Quality Assurance and Management, Fuji Xerox Co., Ltd., Ebina, 239-0494, Japan

    T. Nakamoto

  3. Department of Systems Engineering, The University of Electro-Communications, Chofu-City, Tokyo, 182-8585, Japan

    K. Suzuki & W. Yamamoto

Authors
  1. Y. Matsuo
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  2. T. Nakamoto
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  3. K. Suzuki
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  4. W. Yamamoto
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Matsuo, Y., Nakamoto, T., Suzuki, K. et al. Decreasing the number of test specimens by utilizing both fracture stress and fracture location for the estimation of Weibull parameter. Journal of Materials Science 39, 271–280 (2004). https://doi.org/10.1023/B:JMSC.0000007753.66901.16

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  • DOI: https://doi.org/10.1023/B:JMSC.0000007753.66901.16

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