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Applied Mathematics and Mechanics

, Volume 5, Issue 6, pp 1813–1816 | Cite as

Decomposition of symmetric tensor and its application

  • Wang Min-zhong
Article
  • 21 Downloads

Abstract

In this paper any symmetric tensor is decomposed into the sum of two tensors. One of them is a “type of stress” tensor, and another is a “type of strain” tensor. The inner product space of symmetric tensor is decomposed into the sum of two orthogonal subspaces. The geometric meaning of several principles in the theory of elasticity is given.

Keywords

Mathematical Modeling Industrial Mathematic Product Space Geometric Meaning Symmetric Tensor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Fichera, G., Existence Theorem in Elasticity, Vol. a 2, Handbuch der Physik, edited by C. Truesdeli Berlin-Heideberg-New York, Spring (1972).Google Scholar
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    Nadeau, G., Introduction to Elasticity, Holt, Rinehart and Winton, INC (1964).Google Scholar

Copyright information

© HUST Press 1984

Authors and Affiliations

  • Wang Min-zhong
    • 1
  1. 1.Department of MechanicsPeking UniversityBeijing

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