EFGMによる不連続場を含む構造のメッシュフリー解析

概要

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In this study, the element free Galerkin method is applied to the structural analyses which has material or geometrical discontinuity. The conventional element free Galerkin method, the first mesh free method proposed by Belytschko et al. in 1994, has an advantage that the continuous displacement derivatives are obtained due to the moving least squares interpolation for the approximation of the field function. Therefore, in order to evaluate discontinuous derivatives, the special treatments should be given at the discontinuity and the penalty method is adopted in this study. The proposed method is firstly applied to several structural analyses including material discontinuity and the appropriate size of domain of influence and the effect of nodal distribution as well as the accuracy of the method is investigated. Finally, it is applied to a geometrically nonlinear analysis of membrane structure, which has discontinuous slopes, and the effectiveness of analyses using the present method is demonstrated.
一般社団法人日本機械学会の論文
2000-09-25