A note on the computation of the extrema of Young's modulus for hexagonal materials: An approach by planar tensor invariants

被引：1
|
作者：
Vannucci, Paolo [1 ]
机构：
[1] Univ Versailles St Quentin Yvelines 45, LMV, UMR 8100, Univ Paris Saclay, F-78035 Versailles, France
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 270卷
关键词：
Linear elasticity; Anisotropy; Polar formalism; Bounds on elastic moduli;
D O I：
10.1016/j.amc.2015.08.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A simple method to obtain the highest and lowest Young's modulus fora material of the hexagonal class is presented. It is based upon the use of tensor invariants of plane anisotropic elasticity; in fact, the cylindrical symmetry of the elastic tensor allows for transforming the 3D original problem into a planar one, with a considerable simplification. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：124 / 129
页数：6
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