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
HUANG Yong-nian. The explicit solution of homogeneous linear ordinary differential equations with constant coefficients[J]. Applied Mathematics and Mechanics (English Edition), 1992,13(12): 1115–1120.
HUANG Yong-nian, HU Xin. Superposition 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.
Rutherford Aris. Vectors, Tensors, and the Basic Equations of Fluid Mechanics[M]. Englewood Clills, N J, U S A: Prentice-Hall Inc,1962.
Gurevich G B. Foundations of the Theory of Algebraic Invariants[M]. Netherlands: P Noardhoff LTD-Groningen,1964.
Jeffreys Sir H, Jeffreys B S. Methods of Mathematical Physics[M]. Cambridge University Press, 1972, 93–94.
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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