Abstract
A Monte Carlo simulation was conducted to show that it is not appropriate to determine individual fiber strengths, and in turn, the parameters of the distribution of fiber strengths, by taking the ratio of the experimentally-determined breaking loads and the average cross-sectional area of the fibers. It is shown, for the case of fibers with strengths that are Weibull-distributed and with diameters that are Normal-distributed, that when individual fiber strengths are calculated using the average of the fibers cross-sectional area, the error in the estimation of the parameters of the strength distribution increases with the spread in the distribution of fiber diameters. It is shown that for values typical of some ceramic fibers, the Weibull modulus can be underestimated by as much as a factor of four.
| Original language | English |
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| Pages (from-to) | 471-480 |
| Number of pages | 10 |
| Journal | Ceramic Engineering and Science Proceedings |
| Volume | 20 |
| Issue number | 3 |
| State | Published - 1999 |
| Event | Proceedings of the 1999 23rd Annual Conference on Composites, Advanced Ceramics, Materials, and Structures - Cocoa Beach, FL, USA Duration: Jan 25 1999 → Jan 29 1999 |