Abstract
Statistical strength analysis of advanced fibres is often performed using the Weibull distribution. This statistical approach is firstly made to give a fine but concise summary of the numerous experimental data with two or three significant parameters only and to allow easy discussion of the physical mechanisms, e.g. of the influence of annealing treatments on mechanical properties. Secondly it is a way for deducing properties of a material within a structure or in another testing geometry (other gauge lengths for instance).
Too great an error in the statistical determination of ‘physical’ parameters does not permit achieving any of these purposes. Therefore, some thoughts on the precision of the usual method of statistical determination of the Weibull parameters, as well as a ‘new’ method which is more confident, are proposed.
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Masson, J.J., Bourgain, E. Some guidelines for a consistent use of the Weibull statistics with ceramic fibres. Int J Fract 55, 303–319 (1992). https://doi.org/10.1007/BF00035188
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DOI: https://doi.org/10.1007/BF00035188