A Revisit to the Notation of Martensitic Crystallography
AbstractAs one of the most successful crystallographic theories for phase transformations, martensitic crystallography has been widely applied in understanding and predicting the microstructural features associated with structural phase transformations. In a narrow sense, it was initially developed based on the concepts of lattice correspondence and invariant plane strain condition, which is formulated in a continuum form through linear algebra. However, the scope of martensitic crystallography has since been extended; for example, group theory and graph theory have been introduced to capture the crystallographic phenomena originating from lattice discreteness. In order to establish a general and rigorous theoretical framework, we suggest a new notation system for martensitic crystallography. The new notation system combines the original formulation of martensitic crystallography and Dirac notation, which provides a concise and flexible way to understand the crystallographic nature of martensitic transformations with a potential extensionality. A number of key results in martensitic crystallography are reexamined and generalized through the new notation. View Full-Text
Share & Cite This Article
Gao, Y. A Revisit to the Notation of Martensitic Crystallography. Crystals 2018, 8, 349.
Gao Y. A Revisit to the Notation of Martensitic Crystallography. Crystals. 2018; 8(9):349.Chicago/Turabian Style
Gao, Yipeng. 2018. "A Revisit to the Notation of Martensitic Crystallography." Crystals 8, no. 9: 349.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.