Abstract
The foundations have been laid with respect to a generalized theory of phase transformations in solids. In particular, the methods of differential geometry have been employed and such important tensor quantities as distortion, metric, torsion, and anholonomic object have been developed with respect to such transformations. It is further shown that both Riemannian as well as non-Riemannian (dislocation) geometries are needed to describe these transformations properly.
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References
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Marcinkowski, M.J. Differential geometry of phase transformations. J Mater Sci 13, 1555–1564 (1978). https://doi.org/10.1007/BF00553212
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DOI: https://doi.org/10.1007/BF00553212