3 papers
math-ph2021
The evolution equation: an application of groupoids to material evolution
V. M. Jiménez, M. De León
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…
math-ph2021
Characteristic foliations of material evolution: from remodeling to aging
V. M. Jiménez, M. de León y M. Esptein
For any body-time manifold there exists a groupoid, called material groupoid, encoding all the material properties of the evolution material. A smoo…
math.DG2017
Material groupoids and algebroids
Marcelo Epstein, Manuel de Leon
Lie groupoids and their associated algebroids arise naturally in the study of the constitutive properties of continuous media. Thus, Continuum Mechanics and Differential Geometry i…