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. 2015 Dec 8;5:17865. doi: 10.1038/srep17865

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(a,b) The phonon dispersion relation of the lower layer and upper layer, respectively; (c,d) typical eigenmodes on the edges of band gaps in the lower layer and upper layer. The volume fractions of mineral platelets in the lower and upper layer are set to 0.70 and 0.90, respectively.