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arXiv · 0811.2234

Covariant Balance Laws in Continua with Microstructure

Arash Yavari·Jerrold E. Marsden
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Abstract

The purpose of this paper is to extend the Green-Naghdi-Rivlin balance of energy method to continua with microstructure. The key idea is to replace the group of Galilean transformations with the group of diffeomorphisms of the ambient space. A key advantage is that one obtains in a natural way all the needed balance laws on both the macro and micro levels along with two Doyle-Erickson formulas.

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BibTeXRIS

Arash Yavari, Jerrold E. Marsden. 2008-11-13. Covariant Balance Laws in Continua with Microstructure. https://doi.org/10.1016/s0034-4877(09)00007-x

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