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A Voronoi strain-based method for granular materials and continua

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Main Author: Göran, Frenning
Format: Book
Language:English
Published: Springer 2023
Subjects:
Voronoi strain-based method
Online Access:https://link.springer.com/article/10.1007/s40571-022-00508-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8507
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spelling oai:localhost:PNK-85072023-05-25T04:35:34Z A Voronoi strain-based method for granular materials and continua Göran, Frenning Voronoi strain-based method CC BY In a recent article (Frenning in Comp Part Mech 24:1–4, 2021), we demonstrated that a Delaunay-based strain estimate could be used as a starting point for the development of a particle-based method for continua. In this article, we argue that the Voronoi diagram, dual to the previously used Delaunay tetrahedralization, provides a more natural description of the underlying particulate system. For this reason, a Voronoi-based estimate of the deformation gradient is derived and used to the same effect. Although the gradient vectors cease to be antisymmetric, sums over nearest neighbors vanish, which results in a formulation that not only is linearly complete but also satisfies the patch test irrespective of initial particle placement. Pairwise forces, inferred from the local (nonaffine) deformation of each bond or contact, impart a physical stabilization 2023-05-25T04:35:34Z 2023-05-25T04:35:34Z 2022 Book https://link.springer.com/article/10.1007/s40571-022-00508-3 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8507 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Voronoi strain-based method
spellingShingle Voronoi strain-based method
Göran, Frenning
A Voronoi strain-based method for granular materials and continua
description CC BY
format Book
author Göran, Frenning
author_facet Göran, Frenning
author_sort Göran, Frenning
title A Voronoi strain-based method for granular materials and continua
title_short A Voronoi strain-based method for granular materials and continua
title_full A Voronoi strain-based method for granular materials and continua
title_fullStr A Voronoi strain-based method for granular materials and continua
title_full_unstemmed A Voronoi strain-based method for granular materials and continua
title_sort voronoi strain-based method for granular materials and continua
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s40571-022-00508-3
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8507
_version_ 1772331160803737600
score 8.891145

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