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Meshless Local Petrov-Galerkin (MLPG) Method for Shear Deformable Shells Analysis

J. Sladek1, V. Sladek1, P. H. Wen2, M.H. Aliabadi3
Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia
Department of Engineering, Queen Mary University of London, Mile End, London E14 NS, U.K.
Department of Aeronautics, Imperial College London, Prince Consort Road, London SW7 2BY, U.K.

Computer Modeling in Engineering & Sciences 2006, 13(2), 103-118. https://doi.org/10.3970/cmes.2006.013.103

Abstract

A meshless local Petrov-Galerkin (MLPG) method is applied to solve bending problems of shear deformable shallow shells described by the Reissner theory. Both static and dynamic loads are considered. For transient elastodynamic case the Laplace-transform is used to eliminate the time dependence of the field variables. A weak formulation with a unit test function transforms the set of governing equations into local integral equations on local subdomains in the mean surface of the shell. Nodal points are randomly spread on that surface and each node is surrounded by a circular subdomain to which local integral equations are applied. The meshless approximation based on the Moving Least-Squares (MLS) method is employed for the implementation. Unknown Laplace-transformed quantities are computed from the local boundary integral equations. The time-dependent values are obtained by the Stehfest's inversion technique.

Keywords

Reissner theory, local boundary integral equations, Laplace-transform, Stehfest's inversion, MLS approximation, static and impact loads

Cite This Article

Sladek, J., Sladek, V., Wen, P. H., Aliabadi, M. (2006). Meshless Local Petrov-Galerkin (MLPG) Method for Shear Deformable Shells Analysis. CMES-Computer Modeling in Engineering & Sciences, 13(2), 103–118.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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