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A Novel Shape-Free Plane Quadratic Polygonal Hybrid Stress-Function Element
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-19
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A novel plane quadratic shape-free hybrid stress-function (HS-F) polygonal element is developed by employing the principle of minimum complementary energy and the fundamental analytical solutions of the Airy stress function.
Without construction of displacement interpolation function, the formulations of the new model are much simpler than those of the displacement-based polygonal elements and can be degenerated into triangular or quadrilateral elements directly.
In particular, it is quite insensitive to various mesh distortions and even can keep precision when element shape is concave.
Furthermore, the element does not show any spurious zero energy modes.
Numerical examples show the excellent performance of the new element, denoted by HSF-AP-19β, in both displacement and stress solutions.
American Psychological Association (APA)
Zhou, Pei-Lei& Cen, Song. 2015. A Novel Shape-Free Plane Quadratic Polygonal Hybrid Stress-Function Element. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1073957
Modern Language Association (MLA)
Zhou, Pei-Lei& Cen, Song. A Novel Shape-Free Plane Quadratic Polygonal Hybrid Stress-Function Element. Mathematical Problems in Engineering No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1073957
American Medical Association (AMA)
Zhou, Pei-Lei& Cen, Song. A Novel Shape-Free Plane Quadratic Polygonal Hybrid Stress-Function Element. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1073957
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073957