Characteristic foliations of material evolution: from remodeling to aging-Reference-Cited by-同舟云学术

Characteristic foliations of material evolution: from remodeling to aging

Published:2022-01-17 Issue:11 Volume:27 Page:2373-2403
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Jiménez Víctor Manuel¹^ORCID,de León Manuel²,Epstein Marcelo³^ORCID

Affiliation:

1. Departamento de Física y Matemáticas, Universidad de Alcalá (UAH), Alcalá de Henares, Madrid, Spain

2. Real Academia de Ciencias Exactas, Fisicas y Naturales; Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), Madrid, Spain

3. Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, Alberta, Canada

Abstract

For any body-time manifold [Formula: see text] there exists a groupoid, called the material groupoid, encoding all the material properties of the material evolution. 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 material evolution.

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/10812865211066122

Reference35 articles.

1. Materially uniform simple bodies with inhomogeneities

2. G-structures and material homogeneity

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