Abstract
In this paper using polynomial approximation of the dispersion relations near the center of the first Brillouin zone, we construct a continuum model with internal length scale starting from the discrete valence force field model. As a consequence, and in agreement with a recent result by Maranganti and Sharma, we obtain an explicit estimate of the internal lengths which is ≃0.1Å.
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Danescu, A., Grenet, G. Continuum strain-gradient elasticity from discrete valence force field model for diamond-like crystals. Int J Fract 174, 95–102 (2012). https://doi.org/10.1007/s10704-012-9685-3
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DOI: https://doi.org/10.1007/s10704-012-9685-3