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A coupled 3D isogeometric and discrete element approach for modelling interactions between structures and granular matters

Wei Gao, Jiaweng Wang, Shuohui Yin, Y.T. Feng, Yuntian Feng Orcid Logo

Computer Methods in Applied Mechanics and Engineering

Swansea University Author: Yuntian Feng Orcid Logo

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DOI (Published version): 10.1016/j.cma.2019.05.043

Abstract

A three-dimensional (3D) isogeometric/discrete-element coupling method is presented for modelling contact/impact between structures and particles. This method takes advantages of the geometry smoothness and exactness of isogeometric analysis (IGA) for continuous solid media and the effectiveness and...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa50539
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spelling 2019-07-18T16:09:33.9422255 v2 50539 2019-05-28 A coupled 3D isogeometric and discrete element approach for modelling interactions between structures and granular matters d66794f9c1357969a5badf654f960275 0000-0002-6396-8698 Yuntian Feng Yuntian Feng true false 2019-05-28 CIVL A three-dimensional (3D) isogeometric/discrete-element coupling method is presented for modelling contact/impact between structures and particles. This method takes advantages of the geometry smoothness and exactness of isogeometric analysis (IGA) for continuous solid media and the effectiveness and flexibility of the discrete element method (DEM) for particulate matters. The coupling procedure for handling interactions between IGA elements and discrete elements (DEs) includes global search, local search and interaction calculation. In the global search, the CGRID method is modified to detect potential contact pairs between IGA elements and DEs based on their bounding box representations. The strong convex hull property of a NURBS control mesh plays an important part in the bounding box representation of IGA elements. In the local search, the proposed approach treats each spherical DE centroid as a slave node and the contact surface of each IGA element as the master surface. The projection of a DE centroid onto an IGA element contact surface is solved by modifying the simplex method and Brent iterations. The contact force between an IGA element and a DE is determined from their penetration by using a (nonlinear) penalty function based method. The whole coupled system is solved by the explicit time integration within a updated Lagrangian scheme. Finally, three impact examples, including the impact of two symmetric bars, a tube onto a footing strip, and an assembly of granular particles to a tailor rolled blank, are simulated in elastic regime to assess the accuracy and applicability of the proposed method. Journal Article Computer Methods in Applied Mechanics and Engineering 0045-7825 Isogeometric analysis, Discrete element, Coupling, Contact, Penalty 31 12 2019 2019-12-31 10.1016/j.cma.2019.05.043 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2019-07-18T16:09:33.9422255 2019-05-28T09:37:53.9448979 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Wei Gao 1 Jiaweng Wang 2 Shuohui Yin 3 Y.T. Feng 4 Yuntian Feng 0000-0002-6396-8698 5 0050539-06062019095328.pdf gao2019(2).pdf 2019-06-06T09:53:28.5800000 Output 12784213 application/pdf Accepted Manuscript true 2020-05-31T00:00:00.0000000 © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ true eng
title A coupled 3D isogeometric and discrete element approach for modelling interactions between structures and granular matters
spellingShingle A coupled 3D isogeometric and discrete element approach for modelling interactions between structures and granular matters
Yuntian Feng
title_short A coupled 3D isogeometric and discrete element approach for modelling interactions between structures and granular matters
title_full A coupled 3D isogeometric and discrete element approach for modelling interactions between structures and granular matters
title_fullStr A coupled 3D isogeometric and discrete element approach for modelling interactions between structures and granular matters
title_full_unstemmed A coupled 3D isogeometric and discrete element approach for modelling interactions between structures and granular matters
title_sort A coupled 3D isogeometric and discrete element approach for modelling interactions between structures and granular matters
author_id_str_mv d66794f9c1357969a5badf654f960275
author_id_fullname_str_mv d66794f9c1357969a5badf654f960275_***_Yuntian Feng
author Yuntian Feng
author2 Wei Gao
Jiaweng Wang
Shuohui Yin
Y.T. Feng
Yuntian Feng
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
publishDate 2019
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2019.05.043
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
document_store_str 1
active_str 0
description A three-dimensional (3D) isogeometric/discrete-element coupling method is presented for modelling contact/impact between structures and particles. This method takes advantages of the geometry smoothness and exactness of isogeometric analysis (IGA) for continuous solid media and the effectiveness and flexibility of the discrete element method (DEM) for particulate matters. The coupling procedure for handling interactions between IGA elements and discrete elements (DEs) includes global search, local search and interaction calculation. In the global search, the CGRID method is modified to detect potential contact pairs between IGA elements and DEs based on their bounding box representations. The strong convex hull property of a NURBS control mesh plays an important part in the bounding box representation of IGA elements. In the local search, the proposed approach treats each spherical DE centroid as a slave node and the contact surface of each IGA element as the master surface. The projection of a DE centroid onto an IGA element contact surface is solved by modifying the simplex method and Brent iterations. The contact force between an IGA element and a DE is determined from their penetration by using a (nonlinear) penalty function based method. The whole coupled system is solved by the explicit time integration within a updated Lagrangian scheme. Finally, three impact examples, including the impact of two symmetric bars, a tube onto a footing strip, and an assembly of granular particles to a tailor rolled blank, are simulated in elastic regime to assess the accuracy and applicability of the proposed method.
published_date 2019-12-31T04:02:01Z
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score 11.017642

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