Determining material constants in micromorphic theory through phonon dispersion relations

被引：70

作者：

Chen, YP ^{[1
]}

Lee, JD ^{[1
]}

机构：

[1] George Washington Univ, Sch Engn & Appl Sci, Dept Mech & Aerosp Engn, Washington, DC 20052 USA

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2003年 / 41卷 / 08期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0020-7225(02)00321-X

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper aims to determine the material constants for micromorphic isotropic elastic solid through the phonon dispersion relations from atomistic calculations or experimental measurements. A specialized micromorphic theory for crystal without external modes, such as covalent and ionic crystals, is introduced. The constitutive relations for cubic crystal are derived, and the phonon dispersion relations are obtained. The numerical algorithm to determine the material constants is presented. The material constants for single crystal silicon and diamond are determined and presented. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：871 / 886

页数：16

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