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

HUANG Yong-nian

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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.

Citation:

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.

Citation:

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

HUANG Yong-nian

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

Received Date: 2000-03-17
Rev Recd Date: 2001-03-12
Publish Date: 2001-07-15

Abstract

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

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References(4)

References

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