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Analysis of Plates and Shells by Meshless Local Petrov-Galerkin (MLPG) Method

An efficient meshless formulation based on the Local Petrov-Galerkin approach for analysis of plate and shell structures is presented. Using the kinematic of a three-dimensional continuum, the local symmetric weak form of the equilibrium equations over the cylindrical shaped local sub-domain is derived. The linear test function in the thickness direction is assumed. Discretization in the in-plane directions is performed by means of the moving least squares approximation. The linear interpolation over the thickness is used for the in-plane displacements, while both linear and quadratic interpolations are adopted for the transversal displacement. The numerical efficiency of the proposed meshless formulation is illustrated by numerical examples.

meshless formulation, plates, shells, three-dimensional solid concept, moving least squares approximation

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