Numéro
J. Phys. Colloques
Volume 43, Numéro C4, Décembre 1982
ICOMAT-82
International Conference on Martensitic Transformations
Page(s) C4-209 - C4-214
DOI https://doi.org/10.1051/jphyscol:1982426
ICOMAT-82
International Conference on Martensitic Transformations

J. Phys. Colloques 43 (1982) C4-209-C4-214

DOI: 10.1051/jphyscol:1982426

THE PHENOMENOLOGICAL THEORIES OF MARTENSITE CRYSTALLOGRAPHY

A.G. Crocker

Department of Physics, University of Surrey, Guildford, Surrey GU2 5XH, England


Abstract
The development of the basic phenomenological theories of martensite crystallography into the generalised multiple lattice invariant shear analysis of Acton et al., referred to as the CRAB theory is summarised. Unfortunately the generality of the CRAB theory, and perhaps the concise notation adopted in its presentation, appears to have obscured the fact that it incorporates, as a special case, a new and very simple, direct and powerful formulation of the basic single shear theory. In order to encourage wider use of this method of predicting the crystallographic features of martensitic transformations, the single shear CRAB theory is presented here, using elementary matrix algebra, for the case when the parent structure is referred to an orthonormal basis. The corresponding equations which arise when a general parent basis is adopted are also given using the notation of the tensor calculus, in an appendix.