期刊
INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING
卷 9, 期 6, 页码 623-634出版社
BEGELL HOUSE INC
DOI: 10.1615/IntJMultCompEng.2011002688
关键词
nonlocal elasticity; long-range forces; integral equations
资金
- United States Department of Energy's National Nuclear Security Administration [DE-AC04-94AL85000]
All materials exhibit wave dispersion at 'small' wavelengths leading to non-linearities in experimentally determined dispersion curves. Classical local elasticity fails to predict these non-linearities. Nonlocal continuum mechanics allows for the prediction of the elastic behavior over a considerably wider range of lengthscales. Starting from ab initio lattice dynamics calculations we determine the elastic constants and the phonon dispersion relation for silicon. We verify our results using inelastic neutron scattering data. Next we develop the theoretical and numerical framework to construct nonlocal constitutive equations for longitudinal and transverse acoustic modes.
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