The evolution equation: an application of groupoids to material evolution
Mathematical Physics
2021-08-21 v1 Differential Geometry
math.MP
Abstract
The aim of this paper is to study the evolution of a material point of a body by itself, and not the body as a whole. To do this, we construct a groupoid encoding all the intrinsic properties of the particle and its characteristic foliations, which permits us to define the evolution equation. We also discuss phenomena like remodeling and aging.
Keywords
Cite
@article{arxiv.2108.06766,
title = {The evolution equation: an application of groupoids to material evolution},
author = {V. M. Jiménez and M. De León},
journal= {arXiv preprint arXiv:2108.06766},
year = {2021}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2108.02865