Three-dimensional extension of a planar quadrilateral element Article Swipe
Shengrong Hu
,
Jingjing Xu
,
Xinhong Liu
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1088/1742-6596/3080/1/012168
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1088/1742-6596/3080/1/012168
An early two-dimensional element iQ8 exhibits excellent performance, but its three-dimensional counterpart has not yet been reported. This study focuses on extending iQ8 to three dimensions. Initially, a geometric extension is attempted based on the concept of a virtual node, but all three cases fail, yielding no similar results to the two-dimensional scenario. Next, the underlying nonconforming modes are derived by reorganizing the nonconforming displacement of iQ8; these modes, combined with a special 9-point integration rule, successfully facilitate the extension, with the non-central integration points located outside the element domain. The numerical results indicate that the three-dimensional version performs well when the element aspect ratio is moderate. For plate and shell problems that experience self-locking due to large aspect ratios, a meaningful finding shows that moving the integration points closer to the element domain can quickly alleviate the locking issue and yield surprisingly favorable outcomes.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1088/1742-6596/3080/1/012168
- OA Status
- diamond
- References
- 18
- Related Works
- 10
- OpenAlex ID
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All OpenAlex metadata
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- OpenAlex ID
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https://openalex.org/W4413352317Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1088/1742-6596/3080/1/012168Digital Object Identifier
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Three-dimensional extension of a planar quadrilateral elementWork title
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articleOpenAlex work type
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enPrimary language
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2025Year of publication
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2025-08-01Full publication date if available
- Authors
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Shengrong Hu, Jingjing Xu, Xinhong LiuList of authors in order
- Landing page
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https://doi.org/10.1088/1742-6596/3080/1/012168Publisher landing page
- Open access
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YesWhether a free full text is available
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diamondOpen access status per OpenAlex
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https://doi.org/10.1088/1742-6596/3080/1/012168Direct OA link when available
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Quadrilateral, Extension (predicate logic), Planar, Element (criminal law), Geometry, Geology, Computer science, Mathematics, Structural engineering, Engineering, Computer graphics (images), Finite element method, Political science, Programming language, LawTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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10Other works algorithmically related by OpenAlex
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| citation_normalized_percentile.value | 0.42501578 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |