On uniqueness, existence and objectivity of S-R decomposition theorem |
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Authors: | Chen Mian Liang Jingwei Chen Xi Chen Zhida |
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Institution: | 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 |
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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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Keywords: | S-R decomposition theorem uniqueness existence objectivity |
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