Application of a new statistical function for fracture toughness to failures at microracks in brittle materials
✍ Scribed by D. J. Neville
- Publisher
- Springer Netherlands
- Year
- 1990
- Tongue
- English
- Weight
- 882 KB
- Volume
- 44
- Category
- Article
- ISSN
- 1573-2673
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✦ Synopsis
A new statistical distribution function for fracture toughness has been derived on the basis of the self-similar nature of the mechanical behaviour of crack-tip regions. It has been used to describe statistically variable fracture-toughness data well and to give a good prediction of the effect of the crack front length, that is of the specimen size. The present paper develops on this basis a statistical criterion for failure in linearly elastic materials containing distributions of many microcracks. Data from a number of materials tested in several different laboratories are presented, as are the results of statistical tests showing the quality of the fits obtained using the new function. Some bimodal data is considered.