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Fracture of Al 2 O 3 in Combined Tension/Torsion: II, Weibull Theory
Author(s) -
PETROVIC J. J.,
STOUT M. G.
Publication year - 1981
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.1151-2916.1981.tb15866.x
Subject(s) - weibull distribution , weibull modulus , torsion (gastropod) , materials science , ultimate tensile strength , principal stress , composite material , uniaxial tension , tension (geology) , stress (linguistics) , fracture (geology) , structural engineering , modulus , flexural strength , mathematics , engineering , statistics , medicine , shear stress , linguistics , philosophy , surgery
The Weibull statistical fracture theory for multiaxial stresses has been extended to conditions of combined tension/torsion loading. At fracture, a tensile principal stress ratio σ 1 (tension/torsion) σ 1 (uniaxial tension) greater than one is predicted which is dependent on stress state, Weibull modulus, and fracture location. Comparison to experimental tension/torsion data for Al 2 O 3 shows that the Weibull theory, although predicting correct trends, generally underestimates strengthening effects of the compressive principal stress, thus providing a conservative failure prediction. This discrepancy may be related to influences of stress state on crack‐tip “process zone” behavior.