Triangular higher-order element for better prediction of stress resultants and stresses in plated and shell structures

Ramesh, S. S. and Wang, C. M. (2010) Triangular higher-order element for better prediction of stress resultants and stresses in plated and shell structures. IES Journal Part A: Civil and Structural Engineering, 3 2: 131-146. doi:10.1080/19373260.2010.488408


Author Ramesh, S. S.
Wang, C. M.
Title Triangular higher-order element for better prediction of stress resultants and stresses in plated and shell structures
Journal name IES Journal Part A: Civil and Structural Engineering   Check publisher's open access policy
ISSN 1937-3260
1937-3279
Publication date 2010-01-01
Sub-type Article (original research)
DOI 10.1080/19373260.2010.488408
Open Access Status Not yet assessed
Volume 3
Issue 2
Start page 131
End page 146
Total pages 16
Place of publication Abingdon, Oxfordshire, United Kingdom
Publisher Taylor & Francis
Language eng
Abstract Although they furnish accurate displacements, conventional displacement-based lower order finite elements fail to predict accurate stress resultants and stresses in certain classes of plate and shell problems that involve free edges, steep stress gradients and singularities. In order to tackle such problems, a triangular higher-order shell element based on the nodal basis approach has been developed. The nodes of the element are located at optimal points and its more superior shape functions derived from orthogonal Proriol polynomials. To illustrate the improved performance of the higher-order element as compared to commonly used lower order shell elements in predicting the variations of stress resultants and stresses, three example problems involving a simply supported skew plate, a corner supported square plate, and a clamped cylindrical shell are solved. The stress resultants and the stresses furnished by the higher-order element for the problems considered are found to be accurate with the satisfaction of the natural boundary conditions and devoid of any oscillations. When compared to lower order elements, the higher-order element requires a simple mesh design and lesser degrees of freedom resulting in a considerable reduction in the computational effort, especially for large scale nonlinear analysis.
Keyword Plates
Shells
Stress resultants
Stresses
Triangular higher-order element
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
 
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Created: Mon, 16 Jan 2017, 22:54:56 EST by Clare Nelson on behalf of Learning and Research Services (UQ Library)