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DISCUSSION ABOUT THE SCALAR INVARIANTS OF REPRESENTATION THEORY FOR TENSOR FUNCTIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(4): 503-509. DOI: 10.6052/0459-1879-1999-4-1995-060
Citation: DISCUSSION ABOUT THE SCALAR INVARIANTS OF REPRESENTATION THEORY FOR TENSOR FUNCTIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(4): 503-509. DOI: 10.6052/0459-1879-1999-4-1995-060
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DISCUSSION ABOUT THE SCALAR INVARIANTS OF REPRESENTATION THEORY FOR TENSOR FUNCTIONS

  • 湍流研究国家重点实验室

  • 北京大学力学与工程科学系

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  • It is found that the complete and irreducible scalar invariants in references [1] and [2] are not independent to each other. The scalax invariants of an arbitrary second order tensor and two symmetric second order tensors are studied separately. It is proved that for the previous case there are only six independent scalax invariants and for the later case there are only nine independent scalar invariants.
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