Structure Analysis with 2D Quadrilateral Meshes Generated by a Label-Driven Subdivision
Bo Liu, Kenjiro T. Miura, Shin Usuki, ,
Abstract
Bo Liu, Kenjiro T. Miura, Shin Usuki, ,
Abstract
For a structural analysis using the finite element method, a hexahedral element is preferable to a tetrahedral element from the viewpoint of accuracy. However, it is very difficult to subdivide a mesh consisting of hexahedral elements if the shape of the mesh is complicated. Hence, in this paper, as a preliminary research, we use a label-driven subdivision method for a two-dimensional mesh, and show that meshes subdivided nonuniformly can guarantee as much accuracy as meshes with uniform subdivision.
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For a structural analysis using the finite element method, a hexahedral element is preferable to a tetrahedral element from the viewpoint of accuracy. However, it is very difficult to subdivide a mesh consisting of hexahedral elements if the shape of the mesh is complicated. Hence, in this paper, as a preliminary research, we use a label-driven subdivision method for a two-dimensional mesh, and show that meshes subdivided nonuniformly can guarantee as much accuracy as meshes with uniform subdivision.
Key concepts: Hexahedron, Polygon mesh, Subdivision, Quadrilateral, Volume mesh, Tetrahedron, Finite element method, Subdivision surface