Journal
ACTA MATERIALIA
Volume 109, Issue -, Pages 353-363Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.actamat.2016.01.027
Keywords
Structural phase transformation; Crystal symmetry; Pathway degeneracy; Group theory; Deformation variant
Funding
- US Department of Energy, Office of Basic Energy Sciences [DE-SC0001258]
- National Science Foundation [DMR-1410322, DMR-1435483]
- Australian Research Council (ARC)
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1410322] Funding Source: National Science Foundation
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1435483] Funding Source: National Science Foundation
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Pathway degeneracy of structure transformations with symmetry breaking underpins the functionalities of a broad class of smart materials the ferroics. Despite of its significance, there has been a lack of rigorous theoretical description of pathway degeneracy, leading to several case-dependent treatments which are not generally correct. In this work, we incorporate lattice correspondence into group theory to define and determine pathway degeneracy during structural transformations. In particular we show that a stabilizer can be determined by taking into account either the deformation relationship (under a given lattice correspondence) or the orientation relationship, through which deformation variant is defined rigorously and distinguished clearly from orientation variant. Such a definition provides a theoretical foundation for investigating the formation of domain and defect structures arising from symmetry breaking during structural phase transformations. (C) 2016 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
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