Abstract
An asymptotic analysis of the near-tip field is given for fast crack propagation in an elastic-plastic-viscoplastic solid. The plasticity of the material is characterised by power law hardening, and the visco-plasticity covers primary, secondary and tertiary creep depending on a parameter q being smaller, equal to and larger than zero, respectively. The yield condition used is Von Mises criterion. Explicit results are given for the order of the crack-tip singularity, the angular position at which unloading occurs, and the angular variations of stresses and velocities in the near crack-tip fields. In particular, it is shown that the eigenvalue, which determines the order of stress singularity, relates only to the viscoplastic parameters but is independent of the crack-tip speed, boundary and loading conditions. Also, it is found that the plasticity effect cannot explicitly enter the asymptotic stress field. Otherwise, additional assumptions would be required.
Original language | English |
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Pages (from-to) | 343-359 |
Number of pages | 17 |
Journal | International Journal of Fracture |
Volume | 111 |
Issue number | 4 |
DOIs | |
Publication status | Published - Oct 2001 |
Externally published | Yes |
Keywords
- Crack propagation
- Visco-plasticity
ASJC Scopus subject areas
- Computational Mechanics
- Modelling and Simulation
- Mechanics of Materials