Plastic Deformation of Metals at High Strain Rates. Part II. Steady-State Crack Propagation in a Plate Subjected to Combined Bending and Tension.
Abstract
The dynamic stress intensity factor and energy release rate are determined for the configuration in which a semi-infinite, constant velocity crack is propagating in a finite plate subjected to pure bending about the direction of propagation. In addition, a constant extension at the edges of the plate is imposed in the direction normal to the direction of crack propagation. In one case, zero shear stress is imposed at the edges of the plate and, in another case, zero displacement is imposed at the edges of the plate in the direction of crack propagation. For the case of pure bending alone, the dynamic stress intensity factor is shown to be independent of crack velocity. The problems are formulated in terms of the Poisson-Kirchhoff theory of thin plates in which the Kirchhoff conditions for a free edge are applied. The stress intensity factors are solved for directly by application of Laplace transform methods, the Wiener-Hopf technique, and asymptotic analysis. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1973
- Accession Number
- AD0769446
Entities
People
- A. F. Fossum
- Lambert Ben Freund
Organizations
- Brown University