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- W3098981393 abstract "This article provides a rigorous proof of a conjecture by E.C. Bain in 1924 on the optimality of the so-called Bain strain based on a criterion of least atomic movement. A general framework that explores several such optimality criteria is introduced and employed to show the existence of optimal transformations between any two Bravais lattices. A precise algorithm and a GUI to determine this optimal transformation is provided. Apart from the Bain conjecture concerning the transformation from face-centred cubic to body-centred cubic, applications include the face-centred cubic to body-centred tetragonal transition as well as the transformation between two triclinic phases of Terephthalic Acid. The GUI can be accessed under http://uk.mathworks.com/matlabcentral/fileexchange/55554-optlat" @default.
- W3098981393 created "2020-11-23" @default.
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- W3098981393 date "2016-04-01" @default.
- W3098981393 modified "2023-10-05" @default.
- W3098981393 title "Optimality of general lattice transformations with applications to the Bain strain in steel" @default.
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- W3098981393 doi "https://doi.org/10.1098/rspa.2015.0865" @default.
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