TY - JOUR
T1 - An alternative alpha finite element method with discrete shear gap technique for analysis of laminated composite plates
AU - Thai-Hoang, C.
AU - Nguyen-Thanh, N.
AU - Nguyen-Xuan, H.
AU - Rabczuk, T.
N1 - Funding Information:
The authors thank the support of Vietnam National Foundation for Science and Technology Development (NAFOSTED Grant No. 107.02-2010.05 ) and the Research Training Group 1462, Grant No. 220 200 72 .
Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011/5/1
Y1 - 2011/5/1
N2 - This paper presents an alternative alpha finite element method using triangular meshes (AαFEM) for static, free vibration and buckling analyses of laminated composite plates. In the AαFEM, an assumed strain field is carefully constructed by combining compatible strains and additional strains with an adjustable parameter α 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 AαFEM to eliminate transverse shear locking and an improved triangular element termed as AαDSG3 is proposed. Several numerical examples are then given to demonstrate the effectiveness of the AαDSG3.
AB - This paper presents an alternative alpha finite element method using triangular meshes (AαFEM) for static, free vibration and buckling analyses of laminated composite plates. In the AαFEM, an assumed strain field is carefully constructed by combining compatible strains and additional strains with an adjustable parameter α 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 AαFEM to eliminate transverse shear locking and an improved triangular element termed as AαDSG3 is proposed. Several numerical examples are then given to demonstrate the effectiveness of the AαDSG3.
KW - Alpha finite element method (AαFEM)
KW - Discrete shear gap (DSG)
KW - Finite element method
KW - Laminated composite plates
KW - Transverse shear locking
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U2 - 10.1016/j.amc.2011.02.024
DO - 10.1016/j.amc.2011.02.024
M3 - Article
AN - SCOPUS:79952774579
SN - 0096-3003
VL - 217
SP - 7324
EP - 7348
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 17
ER -