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Estimation of Bridging Interactions for Natural Cracks from Bending Strength of Coarse‐Grained Al 2 O 3
Author(s) -
Fett Theo,
Munz Dietrich
Publication year - 1995
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.1151-2916.1995.tb08381.x
Subject(s) - bridging (networking) , weibull distribution , materials science , ceramic , composite material , weibull modulus , flexural strength , fracture mechanics , mathematics , computer science , statistics , computer network
Several ceramic materials show R ‐curve effects which in the past were investigated mainly with specimens containing artificial macrocracks. This paper describes how the R ‐curve effects caused by bridging interactions between the crack surfaces will influence the strength of specimens with natural crack populations. Calculations in terms of averaged stress intensity factors were performed to describe the development of surface cracks from the initial size up to the size at failure. As a consequence of bridging interactions, deviations from the expected straight line in the Weibull representation of strength will occur even under the assumption that the initial crack size is Weibull‐distributed. A least‐squares procedure allows the bridging stresses to be estimated from bending strength measurements.