陽的な大変形解析に適した非構造中点連結多面体セルの開発

概要

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This paper describes a a numerical algorithm to improve the poor performance of a four-node linear tetrahedral element. For this purpose a novel finite volume method utilizing an arbitrary median-meshed polyhedral (AMP) cell is developed. The AMP cells are constructed uniquely by connecting the median points of unstructured tetrahedra: the edge mid-points; the face centers; the volume centroids. These cells are used as control volumes to descretize the equations of the conservation laws by the finite volume method and to solve constitutive equations. The derivation of the equation of motion to accelerate computational nodes is detailed. The present method is implemented in a general-purpose explicit Lagrangian program, which is applied to solve Taylor impact problems in order to evaluate the performance of the AMP cells. Test cases of the three different materials as Aluminum, Copper and Steel are selected. The deformed shapes of the test pieces obtained by the analyses show good agreements with the ones by the experiments even if the computational nodes are distributed nonuniformly. Computational results are also compared about plastic strains obtained by the eight-node hexahedral elements of the same computer program.
一般社団法人日本機械学会の論文
2009-07-25