Microstructure in the cubic to trigonal transition

Kevin F. Hane, Thomas W. Shield

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


Microstructures for the cubic to trigonal transition are constructed using a geometrically non-linear theory of martensitic transformations. Specifically, the twinned martensite, parallelogram, austenite-martensite, wedge, triangle, and diamond microstructures are studied. In particular, the twins are found to be compound twins, and a parallelogram microstructure is constructed which is observed during twin crossings. All habit plane solutions, the shape strains and the habit plane normals, are enumerated; also, the special value of the trigonal angle at which the wedge microstructure exists is found. The predictions agree with available experimental data for a Au-Cd alloy and the R-phase in several Ti-Ni shape memory alloys. These calculations are the first complete analysis of microstructures in this transformation.

Original languageEnglish (US)
Pages (from-to)147-159
Number of pages13
JournalMaterials Science and Engineering A
Issue number1
StatePublished - 2000

Bibliographical note

Funding Information:
The support of the National Science Foundation (grant # NSF MSS-9257945) and the Office of Naval Research (grant # ONR N/N00014-91-J-4034) is gratefully acknowledged.

Copyright 2017 Elsevier B.V., All rights reserved.

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