Continuum strain-gradient elasticity from discrete valence force field model for diamond-like crystals
Source abstract
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 ≃0.1A.
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Research context
OpenAlex topics: Nonlocal and gradient elasticity in micro/nano structures · Thermoelastic and Magnetoelastic Phenomena · Elasticity and Material Modeling
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References (17)
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