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A Novel Virtual Node Hexahedral Element with Exact Integration and Octree Meshing
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-30
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
The method presented in this work is a 3-dimensional polyhedral finite element (3D PFEM) based on virtual node method.
Novel virtual node polyhedral elements (termed as VPHE) are developed here, particularly virtual node hexahedral element (termed as VHE).
Stiffness matrices of these polyhedral elements consist of simple polynomials.
Thus, a new algorithm is introduced in this paper, which enables exact integration of monomials without a need for high number of integration points and weights.
The number of nodes for VHE elements is not restricted, as opposed to the conventional hexahedral elements.
This feature enables formulation of transition elements (termed as T-VHE) which are useful to adaptive computation.
Performances of the new VHE elements in solid mechanics and conductive heat transfer phenomena are examined through numerical simulations.
The new T-VHE elements are utilized in octree mesh.
The VHE elements are found to produce good results and T-VHE elements help to reduce number of global nodes for the analysis.
American Psychological Association (APA)
Perumal, Logah. 2016. A Novel Virtual Node Hexahedral Element with Exact Integration and Octree Meshing. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-19.
https://search.emarefa.net/detail/BIM-1112007
Modern Language Association (MLA)
Perumal, Logah. A Novel Virtual Node Hexahedral Element with Exact Integration and Octree Meshing. Mathematical Problems in Engineering No. 2016 (2016), pp.1-19.
https://search.emarefa.net/detail/BIM-1112007
American Medical Association (AMA)
Perumal, Logah. A Novel Virtual Node Hexahedral Element with Exact Integration and Octree Meshing. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-19.
https://search.emarefa.net/detail/BIM-1112007
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112007