5 DEDUCTIONS OF WEIBULL DISTRIBUTION FUNCTION IN THE PROBABILISTIC STRENGTH OF MATERIALS

被引：5

作者：

KITTL, P

DIAZ, G

机构：

[1] Departamento de Ciencia de los Materiales (IDIEM), Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago

来源：

ENGINEERING FRACTURE MECHANICS | 1990年 / 36卷 / 05期

关键词：

D O I：

10.1016/0013-7944(90)90402-3

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Five different ways of deducing Weibull'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 equipartition within a homogeneous material and on the stability postulate of mathematical statistics; the third deduction uses empirical facts and Weierstrass's product theorem of the theory of functions. © 1990.

引用

页码：749 / 762

页数：14