Three-Dimensional Elasticity Analysis of Thick Rectangular Laminated Composite Plates Using Meshless Local Petrov-Galerkin (MLPG) Method

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This article presents apparently the first application of Meshless local Petrov-Galerkin (MLPG) method for 3-D elasticity analysis of moderately thick rectangular laminated plates. As with other Meshless methods, the problem domain is represented by a set of spread nodes in all three dimensions of the plate without configuration of elements. The Moving Least-Squares (MLS) method is applied to construct the required shape functions. A local asymmetric weak formulation of the problem is developed and MLPG is applied to solve the governing equations. Direct interpolation method is employed to enforce essential boundary conditions. Details of formulation, numerical procedure, convergence and accuracy characteristics of the method are investigated. Results are compared, where possible, with other analytical and numerical methods and show good agreement.

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331-338

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October 2006

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© 2006 Trans Tech Publications Ltd. All Rights Reserved

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[1] G.R. Liu: Mesh free methods, moving beyond the finite element method (CRC Press, 2002).

Google Scholar

[2] B. Nayroles, G. Touzot and P. Villon: Computational Mechanics, Vol. 10 (1992), p.307.

Google Scholar

[3] T. Belytschko, Y.Y. Lu and L. Gu: Int J Numer Meth Eng., Vol. 37 (1994), p.229.

Google Scholar

[4] C.A. Duarte and J.T. Oden: Numer Meth Partial Differ Equations, Vol. 12 (1996), p.673.

Google Scholar

[5] W.K. Liu, S. Jun and Y.F. Zhang: Int J Numer Meth Eng., Vol. 20 (1995), p.1081.

Google Scholar

[6] S.N. Atluri and T. Zhu: Computational Mechanics, Vol. 22 (1998), p.117.

Google Scholar

[7] Y.T. Gu and G.R. Liu: Computational Mechanics, Vol. 27 (2001), p.188.

Google Scholar

[8] Y.T. Gu and G.R. Liu: Comp Modeling Engrg. Sci., Vol. 2 (2001), p.463.

Google Scholar

[9] S.N. Atluri, J.Y. Cho and H.G. Kim: Computational Mechanics, Vol. 24 (1999), p.334.

Google Scholar

[10] H.K. Ching and S.C. Yen: Composites: Part B, Vol. 36 (2005), p.223.

Google Scholar

[11] J. Sladek, V. Sladek and C.H. Zhang: Eng. Analysis with Boundary Elements, Vol. 29 (2005), p.597.

Google Scholar

[12] J.R. Xiao, B.A. Gama, Jr J.W. Gillespie and E.J. Kansa: Eng. Analysis with Boundary Elements, Vol. 29 (2005), p.95.

Google Scholar

[13] N.J. Pagano: J. Composite Mat. Vol. 5 (1970) p.20.

Google Scholar

[14] S. Srinivas and A.K. Rao: Int. J. Solids Struct. Vol. 6 (1970), p.1463.

Google Scholar

[15] W.H. Wittrick: Int. J. Solids Struct. Vol. 23 (1987), p.441.

Google Scholar

[16] F. -L. Liu: Int. J. Solids Struct. Vol. 37 (2000), p.7671.

Google Scholar