回転自由度を考慮した三次元ENRICHED FREE MESH METHOD

概要

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The Free Mesh Method (FMM) was developed to solve the issue of mesh generation that is one of the great bottlenecks in parallel computing. The FMM is, however, difficult to combine with quadratic elements that should be used for higher accurate analysis. The Enriched Free Mesh Method (EFMM) was presented to improve the accuracy of the FMM. The conventional EFMM is, however, inaccurate as compared with the FEM using quadratic elements. The present paper therefore is intended to propose a higher accurate EFMM, where the drilling degrees of freedoms is newly added for the improvement of the accuracy. The consistency of the proposed method is proved by the three-dimensional patch test. In some problems, we find that the accuracy of the proposed method exceeds the conventional EFMM and it is equivalent to that of the FEM using quadratic elements. The analysis result of a plate with a cavity has shown that the accuracy of stress by this method is very high. It is concluded that this method is extremely effective to analyses of large-scale structures under complicated loading conditions.
2010-11-25