The translation of the theory developed for the spinodal decomposition of a supercooled alloy to the language appropriate for the martensitic transformation is carried out. In the spinodal theory, the stability of the alloy with respect to the composition fluctuation is examined, while in the present theory the stability of the crystal with respect to the shear displacement fluctuation, the transverse phonon, is studied. The analogy to the spinodal theory requires the revival of the strain gradient energy term or the couple stress term, the presence of which has been a subject of controversies for a long time since Laval. A simple model lattice with the bond bending and stretching interaction is constructed as an instrument to study numerically the stability of the lattice with respect to the shear displacement fluctuation. The results of the numerical investigation indicate that the simultaneous presence of the anharmonic strain energy term and the strain gradient energy term is required to trigger the martensitic transformation. © 1975.



Second Department

Materials Science and Engineering

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Article - Journal

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Publication Date

01 Jan 1975