Asymptotic Analysis of a MOde I Crack Propagating Steadily in a Deformation Theory Material.
Abstract
The asymptotic stress and defromation fields of a crack propagating steadily and quasi-statically into and elastic-plastic material are present. The material is characterised by J2 deformation theory suitably modified to account for unloading and reloading together with linear strain-hardening. The cases of plane-strain and mode I are considered. The associated governing equations are integrated analytically, and the boundary conditions lead to algeraic nonlinear equations which are solved numerically. Results are givwen for the strength of the singularity, and for the distribution of streess in the plastic loading, elastic unloading and plastic reloading regions, as functions of the strain-hardening parameter.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1985
- Accession Number
- ADA161770
Entities
People
- P. P. Casteneda
Organizations
- Harvard University