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Weibull Crack Density Coefficient for Polydimensional Stress States
Author(s) -
Gross Bernard,
Gyekenyesi John P.
Publication year - 1989
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1989.tb06165.x
Subject(s) - weibull distribution , ceramic , materials science , stress (linguistics) , weibull modulus , reliability (semiconductor) , fracture (geology) , statistical physics , composite material , mathematics , statistics , thermodynamics , physics , power (physics) , linguistics , philosophy
A structural ceramic analysis and reliability evaluation code has recently been developed encompassing volume and surface flaw induced fracture, modeled by the two‐parameter Weibull probability density function. A segment of the software involves computing the Weibull polydimensional stress state crack density coefficient from uniaxial stress experimental fracture data. The relationship of the polydimensional stress coefficient is derived herein for a shear‐insensitive material with a random surface flaw population. In addition, a critique is made on the derivation of this relationship by Ikeda and Igaki, which appeared in a recent article in the Journal of the American Ceramic Society.