Automatic adaptive FE analysis of thin-walled structures using 3D solid elements

In this study, a new automatic adaptive refinement procedure for thin-walled structures (TWS) using 3D solid elements is suggested. This procedure employs a specially designed superconvergent patch recovery (SPR) procedure for stress recovery, the Zienkiewicz and Zhu (Z-Z) error estimator for the a...

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Main Authors: Lee, Chi King, Xu, Q. X.
Other Authors: School of Civil and Environmental Engineering
Format: Journal Article
Language:English
Published: 2014
Subjects:
Online Access:https://hdl.handle.net/10356/80053
http://hdl.handle.net/10220/19307
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author Lee, Chi King
Xu, Q. X.
author2 School of Civil and Environmental Engineering
author_facet School of Civil and Environmental Engineering
Lee, Chi King
Xu, Q. X.
author_sort Lee, Chi King
collection NTU
description In this study, a new automatic adaptive refinement procedure for thin-walled structures (TWS) using 3D solid elements is suggested. This procedure employs a specially designed superconvergent patch recovery (SPR) procedure for stress recovery, the Zienkiewicz and Zhu (Z-Z) error estimator for the a posteriori error estimation, a new refinement strategy for new element size prediction and a special mesh generator for adaptive mesh generation. The proposed procedure is different from other schemes in such a way that the problem domain is separated into two distinct parts: the shell part and the junction part. For stress recovery and error estimation in the shell part, special nodal coordinate systems are used and the stress field is separated into two components. For the refinement strategy, different procedures are employed for the estimation of new element sizes in the shell and the junction parts. Numerical examples are given to validate the effectiveness of the suggested procedure. It is found that by using the suggested refinement procedure, when comparing with uniform refinement, higher convergences rate were achieved and more accurate final solutions were obtained by using fewer of degree of freedoms and less amount of computational time.
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spelling ntu-10356/800532020-03-07T11:43:31Z Automatic adaptive FE analysis of thin-walled structures using 3D solid elements Lee, Chi King Xu, Q. X. School of Civil and Environmental Engineering DRNTU::Engineering::Civil engineering::Structures and design In this study, a new automatic adaptive refinement procedure for thin-walled structures (TWS) using 3D solid elements is suggested. This procedure employs a specially designed superconvergent patch recovery (SPR) procedure for stress recovery, the Zienkiewicz and Zhu (Z-Z) error estimator for the a posteriori error estimation, a new refinement strategy for new element size prediction and a special mesh generator for adaptive mesh generation. The proposed procedure is different from other schemes in such a way that the problem domain is separated into two distinct parts: the shell part and the junction part. For stress recovery and error estimation in the shell part, special nodal coordinate systems are used and the stress field is separated into two components. For the refinement strategy, different procedures are employed for the estimation of new element sizes in the shell and the junction parts. Numerical examples are given to validate the effectiveness of the suggested procedure. It is found that by using the suggested refinement procedure, when comparing with uniform refinement, higher convergences rate were achieved and more accurate final solutions were obtained by using fewer of degree of freedoms and less amount of computational time. Accepted version 2014-05-12T01:12:22Z 2019-12-06T13:39:34Z 2014-05-12T01:12:22Z 2019-12-06T13:39:34Z 2008 2008 Journal Article Lee, C. K., & Xu, Q. X. (2008). Automatic adaptive FE analysis of thin-walled structures using 3D solid elements. International Journal for Numerical Methods in Engineering, 76(2), 183-229. 0029-5981 https://hdl.handle.net/10356/80053 http://hdl.handle.net/10220/19307 10.1002/nme.2315 en International journal for numerical methods in engineering © 2008 John Wiley & Sons, Ltd. This is the author created version of a work that has been peer reviewed and accepted for publication by International Journal for Numerical Methods in Engineering, John Wiley & Sons, Ltd. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1002/nme.2315]. 49 p. application/pdf
spellingShingle DRNTU::Engineering::Civil engineering::Structures and design
Lee, Chi King
Xu, Q. X.
Automatic adaptive FE analysis of thin-walled structures using 3D solid elements
title Automatic adaptive FE analysis of thin-walled structures using 3D solid elements
title_full Automatic adaptive FE analysis of thin-walled structures using 3D solid elements
title_fullStr Automatic adaptive FE analysis of thin-walled structures using 3D solid elements
title_full_unstemmed Automatic adaptive FE analysis of thin-walled structures using 3D solid elements
title_short Automatic adaptive FE analysis of thin-walled structures using 3D solid elements
title_sort automatic adaptive fe analysis of thin walled structures using 3d solid elements
topic DRNTU::Engineering::Civil engineering::Structures and design
url https://hdl.handle.net/10356/80053
http://hdl.handle.net/10220/19307
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