Boundary Layer Phenomena in the Plastic Zone Near a Rapidly Propagating Crack Tip.
Abstract
The steady-state dynamic fields near a rapidly propagating crack tip in an elastic perfectly-plastic material have been investigated for the case of Mode-III fracture. For arbitrary values of the dimensionless crack-tip speed (M) the inner solution consists of a central-fan field ahead of the crack tip and a uniform field in its wake. It is shown that the inner solution is valid in a 'boundary layer' which shrinks on the crack tip in the limit of vanishing M. For small M the outer solution was found as a regular perturbation expansion in M, with the quasi-static solution as its first term. A uniform expansion over the polar angle omega measured from the plane of the crack was also obtained; its first term displays the connection between the inner and outer solutions. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1980
- Accession Number
- ADA092811
Entities
People
- Jan D. Achenbach
- V. Dunayevsky
Organizations
- Northwestern University