A mathematical model of network elastoplasticity

We introduce a mathematical model, based on networks, for the elasticity and plasticity of materials. We define the tension tensor for a periodic graph in a Euclidean space, and we show that the tension tensor expresses elasticity under deformation. Plasticity is induced by local moves on a graph. T...

Descripción completa

Detalles Bibliográficos
Autores principales: Kodama, Hiroki, Yoshida, Ken'ichi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2022
Materias:
Research Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9044121/
https://www.ncbi.nlm.nih.gov/pubmed/35510220
http://dx.doi.org/10.1098/rspa.2021.0828
_version_ 1784695036152119296
author Kodama, Hiroki
Yoshida, Ken'ichi
author_facet Kodama, Hiroki
Yoshida, Ken'ichi
author_sort Kodama, Hiroki
collection PubMed
description We introduce a mathematical model, based on networks, for the elasticity and plasticity of materials. We define the tension tensor for a periodic graph in a Euclidean space, and we show that the tension tensor expresses elasticity under deformation. Plasticity is induced by local moves on a graph. The graph is described in terms of the weights of edges, and we discuss how these weights affect the plasticity.
format Online
Article
Text
id pubmed-9044121
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher The Royal Society
record_format MEDLINE/PubMed
spelling pubmed-90441212022-05-03 A mathematical model of network elastoplasticity Kodama, Hiroki Yoshida, Ken'ichi Proc Math Phys Eng Sci Research Articles We introduce a mathematical model, based on networks, for the elasticity and plasticity of materials. We define the tension tensor for a periodic graph in a Euclidean space, and we show that the tension tensor expresses elasticity under deformation. Plasticity is induced by local moves on a graph. The graph is described in terms of the weights of edges, and we discuss how these weights affect the plasticity. The Royal Society 2022-04 2022-04-27 /pmc/articles/PMC9044121/ /pubmed/35510220 http://dx.doi.org/10.1098/rspa.2021.0828 Text en © 2022 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited.
spellingShingle Research Articles
Kodama, Hiroki
Yoshida, Ken'ichi
A mathematical model of network elastoplasticity
title A mathematical model of network elastoplasticity
title_full A mathematical model of network elastoplasticity
title_fullStr A mathematical model of network elastoplasticity
title_full_unstemmed A mathematical model of network elastoplasticity
title_short A mathematical model of network elastoplasticity
title_sort mathematical model of network elastoplasticity
topic Research Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9044121/
https://www.ncbi.nlm.nih.gov/pubmed/35510220
http://dx.doi.org/10.1098/rspa.2021.0828
work_keys_str_mv AT kodamahiroki amathematicalmodelofnetworkelastoplasticity
AT yoshidakenichi amathematicalmodelofnetworkelastoplasticity
AT kodamahiroki mathematicalmodelofnetworkelastoplasticity
AT yoshidakenichi mathematicalmodelofnetworkelastoplasticity

Ejemplares similares