任意二阶张量的特征张量及其特性分析

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 九五攀登预选项目:“非线性科学”和“流体与空气动力学关键基础问题研究”

The Eigentensors of an Arbitrary Second Order Tensor and Their Quality Analyses

State Key Laboratory of Turbulence Research, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China

摘要: 黄永念曾对一个二阶张量引进了一个特征张量的概念,且利用它给出了一个常系数常微分方程组得显式解表达式.最近发现这种特征张量是并矢形式.利用这种并矢表示可以大大简化张量的运算工作.
- 特征值 /
- 特征张量 /
- 并矢
Abstract: A notation of the eigentensors of an arbitrary second order tensor had been introduced by HUANG Yong-nian(1992). By using this notation an explicit solution of homogeneous linear ordinary differential equations with constant coefficients had been given. Recently, it is found that these eigen tensors are dyads. By using these dyads the tensor calculations can be simplified greatly.
- eigenvalues /
- eigentensors /
- dyads

[1]	黄永念.常系数线性常微分方程组的显式解[J].应用数学和力学,1992,13(12):1115-1120.
[2]	HUANG Yong-nian,HU Xin.Superpositon about the 3D vortex solution of the fluid dynamic equation[A].In:CHIEN Wei-zang Ed.Proceeding of the 3rd International Conference on Nonlinear Mechanics[C].Shanghai:Shanghai University Press,1998,479-484.
[3]	Rutherford Aris.Vectors,Tensors,and the Basic Equations of Fluid Mechanics[M].Englewood Clills,N J,U S A:Prentice-Hall Inc,1962.
[4]	Gurevich G B.Foundations of the Theory of Algebraic Invariants[M].Netherlands:P Noardhoff LTD-Groningen,1964.