Nanoplate model for platelike nanomaterials

被引：40

作者：

Zhang, HT ^{[1
]}

Sun, CT ^{[1
]}

机构：

[1] Purdue Univ, Sch Aeronaut & Astronaut, W Lafayette, IN 47907 USA

来源：

AIAA JOURNAL | 2004年 / 42卷 / 10期

关键词：

D O I：

10.2514/1.5282

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

A plate model is developed for nanostructured materials possessing platelike geometry, such as ultrathin films. The dispersion relations of a three-layered nanomaterial are analyzed with both the nanoplate model and the lattice model to show the effectiveness of this nanoplate model. Cylindrical bending of a three-atom-layered nanoplate is analyzed with the nanoplate model, the lattice model, and the continuum Mindlin plate theory. It is found that the nanoplate model predicts the deflection in good agreement with the lattice model. The continuum Mindlin plate theory tends to underpredict the deflection. This result indicates that, if the continuum plate theory is used to extract the Young's modulus of a nanomaterial, the value could be significantly underestimated.

引用

页码：2002 / 2009

页数：8

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