Applied Mathematics and Mechanics

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

Decomposition of symmetric tensor and its application

  • Wang Min-zhong


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.


Mathematical Modeling Industrial Mathematic Product Space Geometric Meaning Symmetric Tensor 
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Copyright information

© HUST Press 1984

Authors and Affiliations

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

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