Open Access

ARTICLE

Meshless Local Petrov-Galerkin (MLPG) Formulation for Analysis of Thick Plates

by J. Sori ´c¹, Q. Li², T. Jarak¹, S.N. Atluri²

1 Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lučića 5, 10000 Zagreb, Croatia
2 Center for Aerospace Research and Education, University of California Irvine, 5251 California Ave., Irvine, CA 92612, USA

Computer Modeling in Engineering & Sciences 2004, 6(4), 349-358. https://doi.org/10.3970/cmes.2004.006.349

Abstract

An efficient meshless formulation based on the Local Petrov-Galerkin approach for the analysis of shear deformable thick plates is presented. Using the kinematics 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 plate 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 the hierarchical quadratic interpolation is adopted for the transversal displacement in order to avoid the thickness locking effect. The numerical efficiency of the proposed meshless formulation is illustrated by the numerical examples.

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