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

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

2004-06-24

arxiv.org/abs/math-ph/0406056v1

Physics

Mathematical Physics

12 pages

Scientific paper

10.1016/j.ijnonlinmec.2005.02.00

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.

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