| 任意二阶张量的特征张量及其特性分析 |
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| 引用本文： | 黄永念.任意二阶张量的特征张量及其特性分析[J].应用数学和力学,2001,22(7):691-694. |
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| 作者姓名： | 黄永念 |
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| 作者单位： | 北京大学力学与工程科学系, 湍流研究国家重点实验室, 北京 100871 |
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| 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” |
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| 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.
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| 关 键 词： | 特征值 特征张量 并矢 |
| 文章编号： | 1000-0887(2001)07-0691-04 |
| 收稿时间： | 2000-03-17 |
| 修稿时间： | 2000年3月17日 |
The Eigentensors of an Arbitrary Second Order Tensor and Their Quality Analyses |
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| HUANG Yong_nian.The Eigentensors of an Arbitrary Second Order Tensor and Their Quality Analyses[J].Applied Mathematics and Mechanics,2001,22(7):691-694. |
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| Authors: | HUANG Yong_nian |
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| Institution: | State Key Laboratory of Turbulence Research, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China |
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| 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 eigentensors are dyads. By using these dyads the tensor calculations can be simplified greatly. |
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| Keywords: | eigenvalues eigentensors dyads |
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