Analysis of Laminated Composite Plates by Local Inverse Multiquadrics Collocation Method

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In present paper, deflection and stress of laminated composite plates are analyzed by a meshless local collocation method based on inverse multiquadrics radial basis function. This method approximates the governing equations based on first-order shear deformation theory using the nodes in the support domain of any data center. Transverse displacement, normal stresses, and shear stresses of the simply supported laminated composite plates under sinusoidal load are computed by the present method. The convergence characteristics are studied by several numerical examples. The present results are compared with available published results which demonstrate the accuracy and efficiency of present method.

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731-734

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July 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] G. Akhras, M.S. Cheung, W. Li, Static and vibrations analysis of anisotropic laminated plates by finite strip method, Int. J. Solids. Struct. 30 (1993) 3129–3137.

DOI: 10.1016/0020-7683(93)90143-u

Google Scholar

[2] A.J.M. Ferreira, Analysis of composite plates using a layerwise deformation theory and multiquadrics discretization, Mech. Adv. Mater. Struct. 12 (2005) 99–112.

DOI: 10.1080/15376490490493952

Google Scholar

[3] A.J.M. Ferreira, C.M.C. Roque, P.A.L.S. Martins, Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method, Compos. Part. B. 34 (2003) 627–636.

DOI: 10.1016/s1359-8368(03)00083-0

Google Scholar

[4] A.J.M. Ferreira, C.M.C. Roque, P.A.L.S. Martins, Radial basis functions and higher order theories in the analysis of laminated composite beams and plates, Compos. Struct. 66 (2004) 287–293.

DOI: 10.1016/j.compstruct.2004.04.050

Google Scholar

[5] A.J.M. Ferreira, C.M.C. Roque, R.M.N. Jorge, Analysis of composite plates by trigonometric shear deformation theory and multiquadrics, Comput. Struct. 83 (2005) 2225–2237.

DOI: 10.1016/j.compstruc.2005.04.002

Google Scholar

[6] A.J.M. Ferreira, Polyharmonic (thin-plate) splines in the analysis of composite plates, Int. J. Mech. Sci. 46 (2005) 1549–1569.

Google Scholar

[7] C. Shu, H. Ding, K.S. Yeo, Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier–Stokes equations, Comput. Methods. Appl. Mech. Eng. 192 (2003) 941–954.

DOI: 10.1016/s0045-7825(02)00618-7

Google Scholar

[8] A.I. Tolstykh, D.A. Shirobokov, On using radial basis functions in a 'finite difference mode', with applications to elasticity problems, Comput. Mech. 33 (2003) 68–79.

DOI: 10.1007/s00466-003-0501-9

Google Scholar

[9] S. Xiang, G.W. Kang, Local thin plate spline collocation for free vibration analysis of laminated composite plates, European Journal of Mechanics - A/Solids. 33 (2012) 24-30.

DOI: 10.1016/j.euromechsol.2011.11.004

Google Scholar