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Effective behavior of polycrystals that undergo martensitic phase transformation

Bhattacharya, Kaushik and Kohn, Robert V. (1993) Effective behavior of polycrystals that undergo martensitic phase transformation. In: Smart Structures and Materials 1993: Mathematics in Smart Structures. Proceedings of SPIE. No.1919. Society of Photo-optical Instrumentation Engineers (SPIE) , Bellingham, WA, pp. 207-213. ISBN 9780819411525.

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The shape-memory effect is the ability of a material to recover, on heating, apparently plastic deformations that it suffers below a critical temperature. These apparently plastic strains are not caused by slip or dislocation, but by deformation twinning and the formation of other coherent microstructures by the symmetry-related variants of martensite. In single crystals, these strains depend on the transformation strain and can be quite large. However, in polycrystals made up of a large number of randomly oriented grains, the various grains may not deform cooperatively. Consequently, these recoverable strains depend on the texture and may be severely reduced or even eliminated. Thus, the shape-memory behavior of polycrystals may be significantly different from that of a single crystal. We address this issue by studying some model problems in the setting of anti-plane shear.

Item Type:Book Section
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Bhattacharya, Kaushik0000-0003-2908-5469
Additional Information:© 1993 Society of Photo-Optical Instrumentation Engineers (SPIE). We thank Leonid Gibiansky and Graeme Milton for useful discussions. Partial support of the following organizations is gratefully acknowledged: ARO(KB and RVK), AFOSR(KB and RVK) and NSF(RVK).
Funding AgencyGrant Number
Army Research Office (ARO)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Series Name:Proceedings of SPIE
Issue or Number:1919
Record Number:CaltechAUTHORS:20180709-153925415
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Official Citation:Kaushik Bhattacharya, Robert V. Kohn, "Effective behavior of polycrystals that undergo martensitic phase transformation", Proc. SPIE 1919, Smart Structures and Materials 1993: Mathematics in Smart Structures, (22 July 1993); doi: 10.1117/12.148412;
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:87668
Deposited By: George Porter
Deposited On:09 Jul 2018 22:51
Last Modified:03 Oct 2019 19:58

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