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Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (6): 1813-1816.

• 论文 • 上一篇    下一篇

DECOMPOSITION OF SYMMETRIC TENSOR AND ITS APPLICATION

王敏中   

  1. Department of Mechanics, Peking University, Beijing
  • 收稿日期:1983-10-01 出版日期:1984-11-18 发布日期:1984-11-18

DECOMPOSITION OF SYMMETRIC TENSOR AND ITS APPLICATION

Wang Min-zhong   

  1. Department of Mechanics, Peking University, Beijing
  • Received:1983-10-01 Online:1984-11-18 Published:1984-11-18

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摘要： 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.

关键词: angular velocity, rotating cylinder, sensor, functionally graded piezoelectric (FGP) material, pressure, temperature

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.

Key words: temperature, rotating cylinder, pressure, angular velocity, functionally graded piezoelectric (FGP) material, sensor

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