On the Relation between the Fracture Statistics of Volume Distributed and Surface Distributed Cracks.
Abstract
A weakest link theory for failure of brittle materials containing randomly oriented cracks uniformly distributed throughout the volume is compared with an analogous theory for surface distributed cracks. In the latter theory all crack planes are assumed to be normal to the surface in which they are located. In both theories failure is assumed to occur when the component of stress normal to a crack plane exceeds the strength of the crack. It is shown for both theories that the distribution of crack critical strength can be given in closed form when the failure statistics in simple tension are known. It is also shown that the predicted biaxial failure statistics based on given uniaxial statistics are the same, regardless of which theory is used. Evidence is cited which suggests that the latter result may hold for shear-sensitive as well as shear-insensitive cracks. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1977
- Accession Number
- ADA040241
Entities
People
- D. J. Chang
- Samuel B. Batdorf
Organizations
- University of California, Los Angeles