A simple and accurate four-node quadrilateral element using stabilized nodal integration for laminated plates

Nguyen-Van, Hieu and Mai-Duy, Nam and Tran-Cong, Thanh (2007) A simple and accurate four-node quadrilateral element using stabilized nodal integration for laminated plates. CMC: Computers, Materials and Continua, 6 (3). pp. 159-176. ISSN 1546-2218

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Abstract

This paper reports the development of a simple but efficient and accurate four-node quadrilateral element for models of laminated, anisotropic plate behaviour within the framework of the first-order shear deformation theory. The approach incorporates the strain smoothing method for mesh-free conforming nodal integration into the conventional finite element techniques. The membrane-bending part of the element stiffness matrix is calculated by the line integral on the boundaries of the smoothing elements while the shear part is performed using an independent interpolation field in the natural co-ordinate system. Numerical results show that the element offered here is locking-free for extremely thin laminates, reliable and accurate, and easy to implement. Its convergence properties are insensitive to mesh distortion, thickness-span ratios, lay-up sequence and degree of anisotropy.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Awaiting copyright advice.
Depositing User: Prof Thanh Tran-Cong
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 07 Feb 2008 23:48
Last Modified: 02 Jul 2013 22:54
Uncontrolled Keywords: laminated composite plates; strain smoothing method; shear-locking free; first-order shear deformation theory
Fields of Research (FOR2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
09 Engineering > 0905 Civil Engineering > 090503 Construction Materials
09 Engineering > 0912 Materials Engineering > 091202 Composite and Hybrid Materials
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: doi: 10.3970/cmc.2007.006.159
URI: http://eprints.usq.edu.au/id/eprint/3571

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