Representation of Material Elements and Geometry of Substructural Interactions
Mathematical Physics
2008-02-12 v1 math.MP
Abstract
This paper collects some characteristic aspects of the general model-building framework of the mechanics of complex bodies, that are bodies in which the material substructure influences prominently the gross behavior through interactions conjugated with substructural changes. The emphasis in on issues that are foundational in nature: the geometrica description of the material elements, their energetic characterization, the representation of interactions, conditions for the existence of ground states in conservative setting.
Cite
@article{arxiv.0802.1432,
title = {Representation of Material Elements and Geometry of Substructural Interactions},
author = {Paolo Maria Mariano},
journal= {arXiv preprint arXiv:0802.1432},
year = {2008}
}
Comments
20 pages, in print on "Quaderni di Matematica"