Covariant Balance Laws in Continua with Microstructure

Details Covariant Balance Laws in Continua with Microstructure Covariant Balance Laws in Continua with Microstructure

2008-11-13

arxiv.org/abs/0811.2234v1

Mathematics

Differential Geometry

Scientific paper

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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