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Weakest Link Theory Reformulated for Arbitrary Fracture Criterion
Author(s) -
BATDORF S. B.,
HEINISCH H. L.
Publication year - 1978
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.1151-2916.1978.tb09327.x
Subject(s) - weibull distribution , stress (linguistics) , fracture (geology) , shear (geology) , plane (geometry) , plane stress , tension (geology) , mathematics , structural engineering , materials science , geometry , statistics , engineering , composite material , finite element method , ultimate tensile strength , philosophy , linguistics
A primary objective of statistical fracture theory is to predict the probability of failure for an arbitrary stress state when the failure statistics are known for a particular stress state, e.g. simple tension. It is proved that a rule for accomplishing this (given without proof by Weibull) is valid for shear‐insensitive cracks, i.e. on the assumption that only the component of stress normal to a crack plane contributes to its fracture. Four failure criteria for shear‐sensitive cracks are considered and the results are compared with test data.