Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (7): 776-780.

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THE EIGENTENSORS OF AN ARBITRARY SECOND-ORDER TENSOR AND THEIR QUALITY ANALYSES

HUANG Yong-nian   

  1. State Key Laboratory of Turbulence Research, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China
  • Received:2000-03-17 Revised:2001-03-12 Online:2001-07-18 Published:2001-07-18
  • Supported by:
    the Special Funds for Major State Basic Research Project "Nonlinear Science" and the National Basic Research Important Project "On Frontier Problems in Fluid Mechanics and Aerodynamics"

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.

2010 MSC Number: 

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