Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (9): 817-823.

• Articles •     Next Articles

ON UNIQUENESS, EXISTENCE AND OBJECTIVITY OF S-R DECOMPOSITION THEOREM

Chen Mian1, Liang Jingwei1, Chen Xi2, Chen Zhida3   

  1. 1. University of Petroleum, Beijing 102200, P. R. China;
    2. Chengdu Coal Mining Management Institute, Chengdu 610000, P. R. China;
    3. China University of Mining, Beijing 100083, P. R. China
  • Received:1996-03-06 Online:1997-09-18 Published:1997-09-18

Abstract: For a physically possible deformation field of a continuum, the deformationgradient function F can be decomposed into direct sum of a symmetric tensor S andan orthogonal tensor R. which is called S-R decomposition theorem. In this paper,the S-R decomposition unique existence theorem is proved. by employing matrix andtensor method. Also, a brief proof of its objectivity is given.

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