Young's and shear moduli and Poisson's ratio for elastic media of high and middle symmetry

被引:14
作者
Paszkiewicz, T. [1 ]
Wolski, S. [1 ]
机构
[1] Rzeszow Univ Technol, PL-35959 Rzeszow, Poland
来源
PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS | 2007年 / 244卷 / 03期
关键词
D O I
10.1002/pssb.200572716
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
Using bases of fourth rank tensorial bases of [V-2](2) symmetry elaborated by Walpole we obtained expressions for inverse of Young's modulus E(n), inverse of shear modulus G(m, n) and Poisson's ratio v(m, n), which depend on components of the stiffness tensor S, on direction cosines of vectors n of uniaxial load and the vector m of lateral strain with crystalline symmetry axes. Crystalline media of high and medium symmetries are considered. Such representation yields decomposition of the above elastic characteristics to isotropic and anisotropic parts. Expressions for Poisson's coefficient are well suited for studying the property of auxeticity. (C) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
引用
收藏
页码:978 / 987
页数:10
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