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Dyadic method for tensor functions

Dyadic method for tensor functions Abstract In this paper, we discuss tensor functions by dyadic representation of tensor. Two different cases of scalar invariants and two different cases of tensor invariants are calculated. It is concluded that there are six independent scale invariants for a symmetrical tensor and an antisymmetrical tensor, and there are twelve invariants for two symmetrical tensors and an antisymmetrical tensor. And we present a new list of tensor invariants for the tensor-valued isotropic function. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Sinica" Springer Journals

Dyadic method for tensor functions

"Acta Mechanica Sinica" , Volume 18 (4): 9 – Aug 1, 2002

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References (10)

Publisher
Springer Journals
Copyright
2002 Chinese Journal of Mechanics Press
ISSN
0567-7718
eISSN
1614-3116
DOI
10.1007/BF02487791
Publisher site
See Article on Publisher Site

Abstract

Abstract In this paper, we discuss tensor functions by dyadic representation of tensor. Two different cases of scalar invariants and two different cases of tensor invariants are calculated. It is concluded that there are six independent scale invariants for a symmetrical tensor and an antisymmetrical tensor, and there are twelve invariants for two symmetrical tensors and an antisymmetrical tensor. And we present a new list of tensor invariants for the tensor-valued isotropic function.

Journal

"Acta Mechanica Sinica"Springer Journals

Published: Aug 1, 2002

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