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An adaptive granular representative volume element model with an evolutionary periodic boundary for hierarchical multiscale analysis

Tongming Qu, Yuntian Feng Orcid Logo, Min Wang

International Journal for Numerical Methods in Engineering, Volume: 122, Issue: 9, Pages: 2239 - 2253

Swansea University Author: Yuntian Feng Orcid Logo

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DOI (Published version): 10.1002/nme.6620

Abstract

The hierarchical multiscale analysis normally utilises a microscopic representative volume element (RVE) model to capture path/history‐dependent macroscopic responses instead of using phenomenological constitutive models. However, for problems involving large deformation, the current RVE model used...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 0029-5981 1097-0207
Published: Wiley 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa55963
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first_indexed 2021-01-05T15:27:27Z
last_indexed 2021-08-22T03:17:49Z
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spelling 2021-08-21T14:42:14.2957018 v2 55963 2021-01-05 An adaptive granular representative volume element model with an evolutionary periodic boundary for hierarchical multiscale analysis d66794f9c1357969a5badf654f960275 0000-0002-6396-8698 Yuntian Feng Yuntian Feng true false 2021-01-05 CIVL The hierarchical multiscale analysis normally utilises a microscopic representative volume element (RVE) model to capture path/history‐dependent macroscopic responses instead of using phenomenological constitutive models. However, for problems involving large deformation, the current RVE model used in geomechanics may lose representative properties due to the progressive distortion of the RVE box, unless a proper reinitialization is applied. This work develops an adaptive RVE model in conjunction with an evolutionary periodic boundary (EPB) algorithm for hierarchical multiscale analysis of granular materials undergoing large deformation based on a recent RVE model proposed for coupling molecular dynamics and the material point method. The proposed adaptive RVE model avoids the reinitialization of the RVE box that even undergoes extremely large shear deformation; meanwhile, it accounts for the deformation history of the RVE model and treats the interaction between boundary particles and other image particles in a more efficient way. Numerical examples with extremely large deformation are used to illustrate the adaptive granular RVE model enhanced by the proposed EPB algorithm. Furthermore, some key features of this new methodology are further discussed for clarification. Journal Article International Journal for Numerical Methods in Engineering 122 9 2239 2253 Wiley 0029-5981 1097-0207 adaptive representative volume element; discrete element method; evolutionary periodic boundary; granular materials; multiscale analysis 15 5 2021 2021-05-15 10.1002/nme.6620 http://dx.doi.org/10.1002/nme.6620 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2021-08-21T14:42:14.2957018 2021-01-05T15:23:51.7935728 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Tongming Qu 1 Yuntian Feng 0000-0002-6396-8698 2 Min Wang 3 55963__18972__4ec141900c574d21b96285886b4c1276.pdf 55963.pdf 2021-01-05T15:27:16.9090731 Output 1081756 application/pdf Accepted Manuscript true 2022-01-05T00:00:00.0000000 true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title An adaptive granular representative volume element model with an evolutionary periodic boundary for hierarchical multiscale analysis
spellingShingle An adaptive granular representative volume element model with an evolutionary periodic boundary for hierarchical multiscale analysis
Yuntian Feng
title_short An adaptive granular representative volume element model with an evolutionary periodic boundary for hierarchical multiscale analysis
title_full An adaptive granular representative volume element model with an evolutionary periodic boundary for hierarchical multiscale analysis
title_fullStr An adaptive granular representative volume element model with an evolutionary periodic boundary for hierarchical multiscale analysis
title_full_unstemmed An adaptive granular representative volume element model with an evolutionary periodic boundary for hierarchical multiscale analysis
title_sort An adaptive granular representative volume element model with an evolutionary periodic boundary for hierarchical multiscale analysis
author_id_str_mv d66794f9c1357969a5badf654f960275
author_id_fullname_str_mv d66794f9c1357969a5badf654f960275_***_Yuntian Feng
author Yuntian Feng
author2 Tongming Qu
Yuntian Feng
Min Wang
format Journal article
container_title International Journal for Numerical Methods in Engineering
container_volume 122
container_issue 9
container_start_page 2239
publishDate 2021
institution Swansea University
issn 0029-5981
1097-0207
doi_str_mv 10.1002/nme.6620
publisher Wiley
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
url http://dx.doi.org/10.1002/nme.6620
document_store_str 1
active_str 0
description The hierarchical multiscale analysis normally utilises a microscopic representative volume element (RVE) model to capture path/history‐dependent macroscopic responses instead of using phenomenological constitutive models. However, for problems involving large deformation, the current RVE model used in geomechanics may lose representative properties due to the progressive distortion of the RVE box, unless a proper reinitialization is applied. This work develops an adaptive RVE model in conjunction with an evolutionary periodic boundary (EPB) algorithm for hierarchical multiscale analysis of granular materials undergoing large deformation based on a recent RVE model proposed for coupling molecular dynamics and the material point method. The proposed adaptive RVE model avoids the reinitialization of the RVE box that even undergoes extremely large shear deformation; meanwhile, it accounts for the deformation history of the RVE model and treats the interaction between boundary particles and other image particles in a more efficient way. Numerical examples with extremely large deformation are used to illustrate the adaptive granular RVE model enhanced by the proposed EPB algorithm. Furthermore, some key features of this new methodology are further discussed for clarification.
published_date 2021-05-15T04:06:21Z
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