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The Frank–Bilby equation has been utilized to develop a general approach in which a simple criterion is proposed to classify interfaces with discrete misfit dislocation arrays into four types so that these misfit dislocation arrays can be conveniently characterized with uniform formulae. The relation connecting misfit dislocation configurations with the matrices in the Frank–Bilby equation, the special...
A quantization procedure for the Frank–Bilby equation to calculate the periodic structure of interphase interfaces and grain boundaries with one, two and three sets of discrete misfit dislocation arrays is presented mainly in terms of the basic O-lattice equation. The line directions and spacings of misfit dislocation arrays are derived to account for the full relaxation of the long-range strains...
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