Several Treatments on Nonconforming Element Failed in the Strict Patch Test
Joint Authors
Chen, Xiao-Ming
Cen, Song
Li, Yun-Gui
Sun, Jian-Yun
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-26
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
For nonconforming finite elements, it has been proved that the models whose convergence is controlled only by the weak form of patch tests will exhibit much better performance in complicated stress states than those which can pass the strict patch tests.
However, just because the former cannot provide the exact solutions for the patch tests of constant stress states with a very coarse mesh (strict patch test), their usability is doubted by many researchers.
In this paper, the non-conforming plane 4-node membrane element AGQ6-I, which was formulated by the quadrilateral area coordinate method and cannot pass the strict patch tests, was modified by three different techniques, including the special numerical integration scheme, the constant stress multiplier method, and the orthogonal condition of energy.
Three resulting new elements, denoted by AGQ6M-I, AGQ6M-II, and AGQ6M, can pass the strict patch test.
And among them, element AGQ6M is the best one.
The original model AGQ6-I and the new model AGQ6M can be treated as the replacements of the well-known models Q6 and QM6, respectively.
American Psychological Association (APA)
Chen, Xiao-Ming& Cen, Song& Li, Yun-Gui& Sun, Jian-Yun. 2013. Several Treatments on Nonconforming Element Failed in the Strict Patch Test. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1011080
Modern Language Association (MLA)
Chen, Xiao-Ming…[et al.]. Several Treatments on Nonconforming Element Failed in the Strict Patch Test. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1011080
American Medical Association (AMA)
Chen, Xiao-Ming& Cen, Song& Li, Yun-Gui& Sun, Jian-Yun. Several Treatments on Nonconforming Element Failed in the Strict Patch Test. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1011080
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1011080