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

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

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

黄永念

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

收稿日期:2000-03-17 修回日期:2001-03-12 出版日期:2001-07-18 发布日期:2001-07-18
基金资助:
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"

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: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"

摘要/Abstract

摘要： 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.

中图分类号:

O151.21

黄永念. THE EIGENTENSORS OF AN ARBITRARY SECOND-ORDER TENSOR AND THEIR QUALITY ANALYSES[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(7): 776-780.

HUANG Yong-nian . THE EIGENTENSORS OF AN ARBITRARY SECOND-ORDER TENSOR AND THEIR QUALITY ANALYSES[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(7): 776-780.

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

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

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