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Journal of Applied Mathematics
Volume 2013, Article ID 123465, 14 pages
Research Article

Analysis of Laminated Shells by Murakami’s Zig-Zag Theory and Radial Basis Functions Collocation

1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2Faculdade de Engenharia da Universidade do Porto, Porto, Portugal
3Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt

Received 10 July 2013; Accepted 15 September 2013

Academic Editor: Song Cen

Copyright © 2013 D. A. Maturi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The static and free vibration analysis of laminated shells is performed by radial basis functions collocation, according to Murakami’s zig-zag (ZZ) function (MZZF) theory . The MZZF theory accounts for through-the-thickness deformation, by considering a ZZ evolution of the transverse displacement with the thickness coordinate. The equations of motion and the boundary conditions are obtained by Carrera’s Unified Formulation and further interpolated by collocation with radial basis functions.