Improving the MITC3 shell finite element by using the Hellinger-Reissner principle

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The objective of this study is to improve the performance of the MITC3 shell finite element. The Hellinger-Reissner (HR) variational principle is modified in the framework of the MITC method, and a special approximated transverse shear strain field is proposed. The MITC3-HR shell finite element improved by using the Hellinger-Reissner functional passes all the basic tests (zero energy mode test, patch test, and isotropic element test). Convergence studies considering a fully clamped plate problem, a sixty-degree skew plate problem, cylindrical shell problems, and hyperboloid shell problems demonstrate the improved predictive capability of the new 3-node shell finite element. (c) 2012 Elsevier Ltd. All rights reserved.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
2012-11
Language
English
Article Type
Article
Keywords

DISCRETIZATIONS; INTERPOLATION; FORMULATION; BENCHMARK; BEHAVIOR; INSIGHT; MODEL

Citation

COMPUTERS STRUCTURES, v.110, pp.93 - 106

ISSN
0045-7949
DOI
10.1016/j.compstruc.2012.07.004
URI
http://hdl.handle.net/10203/96643
Appears in Collection
ME-Journal Papers(저널논문)
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