エレメントフリー法を用いた三次元弾性解析

概要

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The element-free Galerkin method (EFGM) is becoming popular as an alternative numerical approach, since it does not require the finite element sub-division. The authors have been already presented an EFGM, which is based on the Lagrange polynomial, and applied to finite displacement analyses of plates and beams. In this paper, we reformulate our EFGM for the elastic analysis of 3-D bodies. As a numerical example we adopt a bending problem of thick plates subjected to uniformly distributed load on the upper surface. Especially, we investigate the affection of numerical parameters to the 3-D analysis. In order to evaluate the efficiency of the present EFGM, FEM and Fourier analyses are also performed to the same numerical models. It follows from numerical results that the support parameter plays a key role in the linear elastic EFGM analysis of 3-D bodies. On the other hand, the number of cells and the order of Gaussian numerical integration do not affect the accuracy of the EFGM analysis.
足利工業大学の論文
2003-12-30