The Fracture of Brittle Materials by Freiman Stephen W.; Mecholsky John J. Jr.; & John J. Mecholsky Jr

Author:Freiman, Stephen W.; Mecholsky, John J., Jr.; & John J. Mecholsky Jr.
Language: eng
Format: epub
Publisher: John Wiley & Sons, Incorporated
Published: 2019-01-07T00:00:00+00:00

We have also discussed the statistical analysis procedures that must be undertaken to make reliable predictions of the strength of actual components based upon the specimen test data.

Finally, we made the point that important information can be gleaned from the tests when the strength analyses are complemented by fractographic analysis of the fracture. More importantly, knowledge of the source of failure can be critical to decisions about test procedures and predictions of safety.

QUESTIONS

1. In order to test the strength of a ceramic, cylindrical specimens of length 25 mm, of thickness 0.5 mm, and of diameter 5 mm are placed in axial tension. The tensile stress σ that causes 50% of the specimens to fracture is 120 MPa. Cylindrical ceramic components of length 50 mm, of thickness 1 mm, and of diameter 10 mm are required to withstand an axial stress σc with a survival probability of 99%. Given that m = 5, determine σc.

What would be the expected mean strength if the larger cylinders were loaded in four‐point flexure? In other words, how would this new request change the calculations above?

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