SO ( 3 ) invariance and covariance in mixtures of simple bodies

We adapt to mixtures the procedure of invariance of external power under the action of SO ( 3 ) to deduce balance equations. The two classical axioms about the growths of momentum and moment of momentum are derived with the help of a rule on the structure of the total power. We discuss also the cova...

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Bibliographic Details
Published in:International journal of non-linear mechanics 2005-09, Vol.40 (7), p.1023-1030
Main Author: Mariano, Paolo Maria
Format: Article
Language:English
Subjects:
Invariance
Mixtures
Online Access:Get full text
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Summary:We adapt to mixtures the procedure of invariance of external power under the action of SO ( 3 ) to deduce balance equations. The two classical axioms about the growths of momentum and moment of momentum are derived with the help of a rule on the structure of the total power. We discuss also the covariance of the balance equations of each constituent and the nature of the constituent stress.
ISSN:0020-7462
1878-5638
DOI:10.1016/j.ijnonlinmec.2005.02.002