The evolution equation: an application of groupoids to material evolution

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....

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Detalles Bibliográficos
Autores: León, Manuel de, Jiménez Morales, Víctor Manuel
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad Nacional de Educación a Distancia
Repositorio:e-spacio. Repositorio Institucional de la UNED
Idioma:inglés
OAI Identifier:oai:e-spacio.uned.es:20.500.14468/12556
Acceso en línea:https://hdl.handle.net/20.500.14468/12556
Access Level:acceso abierto
Palabra clave:Lie groupoid
uniformity
material groupoid
material evolution
remodeling
Descripción
Sumario: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.