Five deductions of Weibull's distribution function in the probabilistic strength of materials

✍ Scribed by P. Kittl; G. Díaz

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 870 KB
• Volume: 36
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(90)90402-3

✦ Synopsis

Five different ways of deducing Weibuli's distribution function of the cumulative probability of fracture or yielding are discussed in this paper. Two of these deductions are already well known; one is based on a differential method while the other uses a series expansion. Now three more deductions are added to this already known pair: one is based on the subdivision limit of the material subjected to a constant stress field; another is based on the principle of fracture repartition within a homogeneous material and on the stability postulate of mathemati~i statistics; the third deduction uses empiricai facts and Weierstrass's product theorem of the theory of functions.