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Mode mixity effects on crack tip deformation in ductile single crystals

Mohan, R. and Ortiz, M. and Shih, C. F. (1992) Mode mixity effects on crack tip deformation in ductile single crystals. Acta Metallurgica et Materialia, 40 (8). pp. 1907-1922. ISSN 0956-7151. doi:10.1016/0956-7151(92)90177-G.

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Crack tip deformation and stress fields in ductile single crystals, under mixed mode loading conditions, are examined within the framework of a geometrically rigorous formulation of crystalline plasticity. 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 used in the analysis. For the orientation of an f.c.c. crystal considered in this study, the geometric nature of slip gives rise to competing deformation modes. Our studies reveal that mode mixity exerts a strong influence on which of these competing deformation modes prevail. It is found that the effects of mode mixity are more complex than those predicted by phenomenological flow theories of plasticity. 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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Ortiz, M.0000-0001-5877-4824
Additional Information:© 1992 Elsevier. (Received 10 December 1990; in revised form 20 December 1991) The support of the National Science Foundation through the Materials Research Group at Brown University, Grant DMR-9002994, is gratefully acknowledged.
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Issue or Number:8
Record Number:CaltechAUTHORS:20171213-164302776
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Official Citation:R. Mohan, M. Ortiz, C.F. Shih, Mode mixity effects on crack tip deformation in ductile single crystals, In Acta Metallurgica et Materialia, Volume 40, Issue 8, 1992, Pages 1907-1922, ISSN 0956-7151, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83911
Deposited By: Lydia Suarez
Deposited On:14 Dec 2017 18:37
Last Modified:15 Nov 2021 20:15

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