English

Characteristic foliations of material evolution: from remodeling to aging

Mathematical Physics 2021-08-09 v1 Differential Geometry math.MP

Abstract

For any body-time manifold R×B\mathbb{R} \times \mathcal{B} there exists a groupoid, called material groupoid, encoding all the material properties of the evolution material. A smooth distribution, the material distribution, is constructed to deal with the case in which the material groupoid is not a Lie groupoid. This new tool provides a unified framework to deal with general non-uniform evolution materials.

Cite

@article{arxiv.2108.02865,
  title  = {Characteristic foliations of material evolution: from remodeling to aging},
  author = {V. M. Jiménez and M. de León y M. Esptein},
  journal= {arXiv preprint arXiv:2108.02865},
  year   = {2021}
}
R2 v1 2026-06-24T04:52:35.276Z