Mohan, R. and Ortiz, M. and Shih, C. F. (1992) An analysis of cracks in ductile single crystals—I. Anti-plane shear. Journal of the Mechanics and Physics of Solids, 40 (2). pp. 291-313. ISSN 0022-5096. doi:10.1016/S0022-5096(05)80014-6. https://resolver.caltech.edu/CaltechAUTHORS:20171213-163842621
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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.
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| 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. | |||||||||
| Group: | GALCIT | |||||||||
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| Issue or Number: | 2 | |||||||||
| DOI: | 10.1016/S0022-5096(05)80014-6 | |||||||||
| Record Number: | CaltechAUTHORS:20171213-163842621 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20171213-163842621 | |||||||||
| Official Citation: | R. Mohan, M. Ortiz, C.F. Shih, An analysis of cracks in ductile single crystals—I. Anti-plane shear, In Journal of the Mechanics and Physics of Solids, Volume 40, Issue 2, 1992, Pages 291-313, ISSN 0022-5096, https://doi.org/10.1016/S0022-5096(05)80014-6. (http://www.sciencedirect.com/science/article/pii/S0022509605800146) | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 83909 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Lydia Suarez | |||||||||
| Deposited On: | 14 Dec 2017 18:47 | |||||||||
| Last Modified: | 15 Nov 2021 20:15 |
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