Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 17, Pages 7324-7348Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.02.024
Keywords
Finite element method; Alpha finite element method (A alpha FEM); Discrete shear gap (DSG); Transverse shear locking; Laminated composite plates
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Funding
- Vietnam National Foundation for Science and Technology Development (NAFOSTED) [107.02-2010.05]
- Research Training Group 1462 [220 200 72]
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This paper presents an alternative alpha finite element method using triangular meshes (A alpha FEM) for static, free vibration and buckling analyses of laminated composite plates. In the A alpha FEM, an assumed strain field is carefully constructed by combining compatible strains and additional strains with an adjustable parameter alpha which can produce an effectively softer stiffness formulation compared to the linear triangular element. The stiffness matrices are obtained based on the strain smoothing technique over the smoothing domains and the constant strains on triangular sub-domains associated with the nodes of the elements. The discrete shear gap (DSG) method is incorporated into the A alpha FEM to eliminate transverse shear locking and an improved triangular element termed as A alpha DSG3 is proposed. Several numerical examples are then given to demonstrate the effectiveness of the A alpha DSG3. (C) 2011 Elsevier Inc. All rights reserved.
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