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An unsymmetric 8-node hexahedral element with high distortion tolerance

Pei-Lei Zhou, Song Cen, Jun-Bin Huang, Chen-Feng Li, Qun Zhang, Chenfeng Li Orcid Logo

International Journal for Numerical Methods in Engineering

Swansea University Author: Chenfeng Li Orcid Logo

DOI (Published version): 10.1002/nme.5318

Abstract

Among all 3D 8-node hexahedral solid elements in current finite element library, the ‘best’ one can produce good results for bending problems using coarse regular meshes. However, once the mesh is distorted, the accuracy will drop dramatically. And how to solve this problem is still a challenge that...

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Published in: International Journal for Numerical Methods in Engineering
Published: 2016
URI: https://cronfa.swan.ac.uk/Record/cronfa29376
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spelling 2017-06-02T14:39:29.1617689 v2 29376 2016-08-01 An unsymmetric 8-node hexahedral element with high distortion tolerance 82fe170d5ae2c840e538a36209e5a3ac 0000-0003-0441-211X Chenfeng Li Chenfeng Li true false 2016-08-01 CIVL Among all 3D 8-node hexahedral solid elements in current finite element library, the ‘best’ one can produce good results for bending problems using coarse regular meshes. However, once the mesh is distorted, the accuracy will drop dramatically. And how to solve this problem is still a challenge that remains outstanding. This paper develops an 8-node, 24-DOF (three conventional DOFs per node) hexahedral element based on the virtual work principle, in which two different sets of displacement fields are employed simultaneously to formulate an unsymmetric element stiffness matrix. The first set simply utilizes the formulations of the traditional 8-node trilinear isoparametric element, while the second set mainly employs the analytical trial functions in terms of 3D oblique coordinates (R, S, T). The resulting element, denoted by US-ATFH8, contains no adjustable factor and can be used for both isotropic and anisotropic cases. Numerical examples show it can strictly pass both the first-order (constant stress/strain) patch test and the second-order patch test for pure bending, remove the volume locking, and provide the invariance for coordinate rotation. Especially, it is insensitive to various severe mesh distortions. Journal Article International Journal for Numerical Methods in Engineering 31 12 2016 2016-12-31 10.1002/nme.5318 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2017-06-02T14:39:29.1617689 2016-08-01T09:57:00.4618062 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Pei-Lei Zhou 1 Song Cen 2 Jun-Bin Huang 3 Chen-Feng Li 4 Qun Zhang 5 Chenfeng Li 0000-0003-0441-211X 6 0029376-16082016091706.pdf zhou2016.pdf 2016-08-16T09:17:06.4500000 Output 1289403 application/pdf Accepted Manuscript true 2017-07-27T00:00:00.0000000 true
title An unsymmetric 8-node hexahedral element with high distortion tolerance
spellingShingle An unsymmetric 8-node hexahedral element with high distortion tolerance
Chenfeng Li
title_short An unsymmetric 8-node hexahedral element with high distortion tolerance
title_full An unsymmetric 8-node hexahedral element with high distortion tolerance
title_fullStr An unsymmetric 8-node hexahedral element with high distortion tolerance
title_full_unstemmed An unsymmetric 8-node hexahedral element with high distortion tolerance
title_sort An unsymmetric 8-node hexahedral element with high distortion tolerance
author_id_str_mv 82fe170d5ae2c840e538a36209e5a3ac
author_id_fullname_str_mv 82fe170d5ae2c840e538a36209e5a3ac_***_Chenfeng Li
author Chenfeng Li
author2 Pei-Lei Zhou
Song Cen
Jun-Bin Huang
Chen-Feng Li
Qun Zhang
Chenfeng Li
format Journal article
container_title International Journal for Numerical Methods in Engineering
publishDate 2016
institution Swansea University
doi_str_mv 10.1002/nme.5318
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 Among all 3D 8-node hexahedral solid elements in current finite element library, the ‘best’ one can produce good results for bending problems using coarse regular meshes. However, once the mesh is distorted, the accuracy will drop dramatically. And how to solve this problem is still a challenge that remains outstanding. This paper develops an 8-node, 24-DOF (three conventional DOFs per node) hexahedral element based on the virtual work principle, in which two different sets of displacement fields are employed simultaneously to formulate an unsymmetric element stiffness matrix. The first set simply utilizes the formulations of the traditional 8-node trilinear isoparametric element, while the second set mainly employs the analytical trial functions in terms of 3D oblique coordinates (R, S, T). The resulting element, denoted by US-ATFH8, contains no adjustable factor and can be used for both isotropic and anisotropic cases. Numerical examples show it can strictly pass both the first-order (constant stress/strain) patch test and the second-order patch test for pure bending, remove the volume locking, and provide the invariance for coordinate rotation. Especially, it is insensitive to various severe mesh distortions.
published_date 2016-12-31T03:35:43Z
_version_ 1763751538743836672
score 11.013619

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