境界適合ボクセル要素の開発

抄録

In the analysis of 3 dimensional solid structure, the mesh generation is always the most time consuming and sometimes makes the analysis impossible. Here, the authors have developed the boundary fitted voxel element to reduce the cost of mesh generation in 3D solid analysis. The shape functions that satisfy the continuity between elements are proposed, and integration method to compute the stiffness matrix, mass matrix and load vector of complicated shape is proposed. The element are implemented to MSC/NASTRAN as user defined element, and the unified numbering method of element and nodes for voxel elements are proposed. Also, the postprocessing technique, which does not use the finite element mesh, is proposed, and implemented using VRML. The analysis examples of static and eigenfrequency problems are shown.