EXTERNAL CRACK PROPAGATION (CLEAVAGE) IN A CONTINUUM MODEL WITH NONLINEAR ATOMIC SEPARATION LAWS.
Abstract
The problem of a linear elastic solid containing two coplanar external cracks is considered. The distribution of stress in the solid when forces are applied to the crack faces is obtained. Griffith criteria are developed for the extension of the cracks under several principal cases of loading. For application to ductile materials, plastic deformation in the vicinity of the crack tips is investigated on the basis of Dugdale's hypotheses. The Goodier-Kanninen model is used to determine the distribution of cohesive forces near the crack tips for four nonlinear atomic force-separation laws. The results suggest that the distribution is the same for most mobile equilibrium cracks and thus lends support to Barenblatt's hypothesis. The extension criterion obtained with the Goodier-Kanninen model is compared with that of the Griffith theory. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1967
- Accession Number
- AD0664691
Entities
People
- J. M. Anderson
- J. N. Goodier
Organizations
- Stanford University