フリーメッシュ混合法による 3 次元応力解析

概要

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The Free Mesh Method (FMM), which is a kind of meshless method, is well compatible with parallel computing because it creates local elements around each node independently, and does not need global node-element connectivity data. The FMM using Delaunay tessellation to create local tetrahedral elements is here employed for the three dimensional stress analysis. When the traditional displacement method is used in the formulation of FMM (namely displacement based FMM), in which tetrahedral linear clement is employed as temporary local element, the accuracy is often poor. To improve the accuracy, a mixed formulation based upon the Hu Washizu's principle is combined here with FMM (namely Mixed FMM). Stress analyses of a cantilever beam under tip load are performed, by using displacement based FMM and Mixed FMM respectively. The results of the analyses are compared, and the remarkable improvement of accuracy of the latter is shown, compared to that of the former. Also, it is shown that the accuracy is of nearly the same grade as that of FEM using the 2nd order tetrahedral elements.
一般社団法人日本機械学会の論文
2001-11-25