An improved quadrilateral flat element with drilling degrees of freedom for shell structural analysis

Nguyen-Van, Hieu and Mai-Duy, Nam and Tran-Cong, Thanh (2009) An improved quadrilateral flat element with drilling degrees of freedom for shell structural analysis. CMES: Computer Modeling in Engineering and Sciences, 49 (2). pp. 81-110. ISSN 1526-1492

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Abstract

This paper reports the development of a simple and efficient 4-node flat shell element with six degrees of freedom per node for the analysis of arbitrary shell structures. The element is developed by incorporating a strain smoothing technique into a flat shell finite element approach. The membrane part is formulated by applying the smoothing operation on a quadrilateral membrane element using Allman-type interpolation functions with drilling DOFs. The plate-bending component is established by a combination of the smoothed curvature and the substitute shear strain fields. As a result, the bending and a part of membrane stiffness matrices are computed on the boundaries of smoothing cells which leads to very accurate solutions, even with distorted meshes, and possible reduction in computational cost. The performance of the proposed element is validated and demonstrated through several numerical benchmark problems. Convergence studies and comparison with other existing solutions in the literature suggest that the present element is efficient, accurate and free of lockings.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Depositing User: Prof Thanh Tran-Cong
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 28 Jun 2010 04:15
Last Modified: 02 Jul 2013 23:34
Uncontrolled Keywords: flat shell; strain smoothing method; shear-locking free; first-order shear deformation theory; drilling degrees of freedom
Fields of Research (FOR2008): 09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: doi: 10.3970/cmes.2009.049.081
URI: http://eprints.usq.edu.au/id/eprint/6478

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