The evolution equation: An application of groupoids to material evolution Articles uri icon

authors

  • Jimenez, Victor Manuel
  • LEON RODRIGUEZ, MANUEL DE

publication date

  • June 2022

start page

  • 331

end page

  • 348

issue

  • 2

volume

  • 14

International Standard Serial Number (ISSN)

  • 1941-4889

Electronic International Standard Serial Number (EISSN)

  • 1941-4897

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 material point and its characteristic foliations, which permits us to define the evolution equation. We also discuss phenomena like remodeling and aging.

subjects

  • Mathematics

keywords

  • constitutive theory of materials; evolution material; foliations; groupoids; smooth distributions