An analysis of cracks in ductile single crystals—I. Anti-plane shear
- Creators
- Mohan, R.
-
Ortiz, M.
- Shih, C. F.
Abstract
The problem of a stationary mathematically sharp semi-infinite crack in an FCC crystal is considered. We adopt a geometrically rigorous formulation of crystalline plasticity accounting for finite deformations and finite lattice rotations, as well as for the full three-dimensional crystallographic geometry of the crystal. A comparison of results with earlier small-strain solutions reveals some notable differences. These include the expected development of finite deformations and rotations near the crack tip, but also discrepancies such as a considerable spread of the plastic zones. In addition, nearly self-similar, square-root singular fields are obtained within the portion of the plastic zone where the crystal is in a state of high positive hardening. The results suggest that both finite-deformation and lattice rotation effects, as well as the details of the hardening law, strongly influence the structure of the solution.
Additional Information
© 1992 Elsevier. (Received 23 July 1990; in revised form 7 February, 1991) The support of the National Science Foundation through the Materials Research Group at Brown University, Grant DMR-8714665, is gratefully acknowledged. The authors are indebted to J. R. Rice for helpful discussions.Additional details
- Eprint ID
- 83909
- Resolver ID
- CaltechAUTHORS:20171213-163842621
- NSF
- DMR-8714665
- Created
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2017-12-14Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Caltech groups
- GALCIT