Pre-Stressed Weibull Strength



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Several attempting explanations for discrepency between the empirical strength data and Weibull distribution were proposed by previous researchers. It is conjectured that even if the fibers begin their life with a Weibull strength distribution, that the stresses applied prior to testing results in the survivors of those stresses having a strength distribution which may not be Weibull. It is clear that this pre-stress could not be avoided before the strength testing. The goal of this thesis is to study Weibull strength distributions that have been subjected to pre-stress, and then to examine the resulting strength distribution of the survivors. The strength distribution is derived mathematically and studied. Then a simulation study using MSE and goodness-of-fit test is conducted to study this empirically.