Twin bands in martensites: Statics and dynamics
- 1 January 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 43 (1), 1021-1033
- https://doi.org/10.1103/physrevb.43.1021
Abstract
The theory of forming a coherent twin band and its relation to the parent-product interface in a martensitic transition is studied. We find that the twin band is stabilized by a long-range elastic interaction between the twin boundaries, which is mediated via the parent phase. The mean distance l between twin boundaries is then l∼ √ , with the size of a twin boundary, i.e., the product ‘‘grain’’ size. The collective twin-boundary oscillations (‘‘dyadons’’) have unusually low frequencies and a limiting dispersion of frequency, which goes as the square root of the wave vector. Explicit results are given for a tetragonal-to-orthorhombic transition. We also show that dyadons cause the specific heat to change from a temperature dependence to at lower temperatures and to allow for a linear temperature dependence of the resistivity to extend to low temperatures. We compare our results with data on conventional martensites and on the more recent ceramic superconductors.
Keywords
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