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| Projection operators of rank-two tensor and rate tensor |
| Revised:June 26, 2005 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20074101 |
| KeyWord:projection operator,constitutive model,unilateral effect,damage mechanics |
| WU Jian-ying |
| Department of Civil Engineering, South China University of Technology, Guangzhou 510640, China |
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| Abstract: |
| Upon the systematical research on the spectral decomposition of tensor,new expressions for the projection operators of rank-two tensor,uniform for both the positive one and the negative one,are proposed in this paper.Then the unified expressions for the projection operators are presented to include the Ortiz's ones,the Simo-Ju's ones and the proposed ones as its special cases,clarifying the existing ambiguities in the literature.The unique expressions for the projection operators of the corresponding rate tensor,which are the shared ones of both the rank-two tensor and its rate tensor,are provided as well.Finally the micromechanical meanings are pointed out,and the application in modeling the unilateral effect of concrete is illustrated. |
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