León, Manuel deJiménez Morales, Víctor Manuel2024-05-202024-05-202021http://dx.doi.org/10.3934/jgm.2022001https://hdl.handle.net/20.500.14468/12556The 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.eninfo:eu-repo/semantics/openAccessThe evolution equation: an application of groupoids to material evolutionjournal articleLie groupoiduniformitymaterial groupoidmaterial evolutionremodeling