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The Eigentensors of an Arbitrary Second-Order Tensor and their Quality Analyses

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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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References

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Huang, Yn. The Eigentensors of an Arbitrary Second-Order Tensor and their Quality Analyses. Applied Mathematics and Mechanics 22, 776–780 (2001). https://doi.org/10.1023/A:1016345032580

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  • DOI: https://doi.org/10.1023/A:1016345032580

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