Covariant Balance Laws in Continua with Microstructure
Differential Geometry
2015-05-13 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.0811.2234,
title = {Covariant Balance Laws in Continua with Microstructure},
author = {Arash Yavari and Jerrold E. Marsden},
journal= {arXiv preprint arXiv:0811.2234},
year = {2015}
}