805 改良移動最小二乗法による有限要素非連続メッシュ解析(オーガナイズドセッション : 計算力学と構造設計)

概要

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There is a big issue to generate a discretized model for 3D FEA with hexahedral elements, since an additional process such as dividing the whole domain into several simple-shaped sub-domains is required before generating a continuous mesh even with so-called automatic mesh generators. In general, it is nearly impossible to set up proper number of division interactively to keep mesh connectivity between sub-domains on a complicated arbitrary-shaped domain. If mesh continuity between sub-domains is not required in an analysis, this complicated process can be omitted. Nodal linear constrains method (NLCM) applied in a discontinuous mesh provides only rigid deformations in most cases. Element-free Galerkin method (EFGM) can accept discontinuous meshes, which only requires nodal information. However the accuracy of EFGM itself might be poor or unstable, since it is difficult to choose a reasonable value of influenced domain in moving least squares scheme with non-uniformly distributed nodes in discontinuous FE models. A new FE scheme for discontinuous mesh, discontinuous-mapped-mesh (DCMM) FEA, is proposed in this paper by applying improved EFGM with some modification to derive FE approximated function in discontinuous parts. Its validity is evaluated on linear elastic problems.
一般社団法人日本機械学会の論文
2001-09-20