Abstract
An elastodynamic explanation of running crack bifurcation is explored. The geometry is a semi-infinite body in a state of antiplane strain, which contains a two-dimensional edge crack. It is assumed that a quasi-static increase of the external loads gives rise to rapid crack propagation at time t = 0, with an arbitrary and time-varying speed, but in the plane of the crack. A short time later the crack is assumed to bifurcate at angles -κπ and +gkπ, and with velocities v. The elastodynamic intensity factors are computed, and the balance of rates of energies is employed to discuss the conditions for bifurcation.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1301-1314 |
| Number of pages | 14 |
| Journal | International Journal of Solids and Structures |
| Volume | 11 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 1975 |
| Externally published | Yes |
Funding
Acknowledgements-This work was carried out in the course of research sponsored by the Office of Naval Research under Contract ONR NOOOI4-67-A-0356-0034 with Northwestern University. The author should like to acknowledge the assistance of Dr. V. K. Varatharajulu in some phases of this work.
ASJC Scopus subject areas
- Modeling and Simulation
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics