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An analysis of cracks in ductile single crystals—II. Mode I loading

Mohan, R. and Ortiz, M. and Shih, C. F. (1992) An analysis of cracks in ductile single crystals—II. Mode I loading. Journal of the Mechanics and Physics of Solids, 40 (2). pp. 315-337. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20171213-164121235

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Abstract

A geometrically rigorous formulation of crystalline plasticity is used to analyze the crack-tip deformation and stress fields in ductile single crystals subjected to mode I loading. The theory accounts for finite deformations and finite lattice rotations, as well as for the full three-dimensional crystallographic geometry of the crystal. An experimentally based self-hardening rule exhibiting an initial stage of rapid hardening followed by a saturation stage is also adopted. The problem of a stationary semi-infinite crack in FCC and BCC crystals is considered. As regards the dominant modes of deformation, the results are in partial agreement with earlier analytical and numerical solutions, but in excellent qualitative agreement with recent experimental observations. 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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https://doi.org/10.1016/S0022-5096(05)80015-8DOIArticle
https://www.sciencedirect.com/science/article/pii/S0022509605800158PublisherArticle
Additional Information:© 1992 Elsevier. (Received 24 August 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 comments and discussions. We are also indebted to T. Shield and K.-S. Kim for making available to us an early report on their experiments, and for many helpful suggestions.
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NSFDMR-8714665
Record Number:CaltechAUTHORS:20171213-164121235
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20171213-164121235
Official Citation:R. Mohan, M. Ortiz, C.F. Shih, An analysis of cracks in ductile single crystals—II. Mode I loading, In Journal of the Mechanics and Physics of Solids, Volume 40, Issue 2, 1992, Pages 315-337, ISSN 0022-5096, https://doi.org/10.1016/S0022-5096(05)80015-8. (http://www.sciencedirect.com/science/article/pii/S0022509605800158)
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ID Code:83910
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:14 Dec 2017 18:42
Last Modified:14 Dec 2017 18:42

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