岩土力学2011，Vol.32Issue(11)：3479-3486,8.
复杂区域三维有限元四面体网格自动生成研究
Study of 3D finite element tetrahedral mesh automatic generation for complex regions
摘要
Abstract
Based on the classical 3D Delaunay tetrahedral mesh generation method, a 3D constrained Delaunay triangulation algorithm is presented. By restoring the constrained boundary and removing the local degeneracies, the consistency of the solid boundary and the uniqueness of the mesh could be guaranteed. In this way, the constrained Delaunay triangulation method could be applied effectively to generate tetrahedral mesh for any complex 3D solids with the constraints. By controlling the ratio value of the circumradius of the tetrahedron to its shortest edge length (denoted as a), and the ratio of the volume of the tetrahedron to the volume of its circumscribing sphere (denoted as n), the low-quality elements are avoided; and also a method to calculate the a and n which simplifying the calculation process is proposed. For the entity with complicated geometry, especially the entity containing the thin layers, adding constraints could improve the mesh quality and shorten the calculation time. So, by using the method, the 3D finite element mesh for complex region under different geological conditions could be automatically generated in the civil engineering; and the high quality of the mesh which could be guaranteed provides sufficient condition for the high-precision finite element calculation. The verified examples show that the high-quality constrained tetrahedral mesh for any complex 3D solids could be generated by the constrained Delaunay triangulation method; and it could be applied effectively to the finite element mesh generation in engineering.关键词
约束/德洛奈三角剖分/网格生成/复杂区域Key words
constraints/Delaunay triangulation/mesh generation/complex regions分类
数理科学引用本文复制引用
吴火珍,焦玉勇,李海波,张秀丽..复杂区域三维有限元四面体网格自动生成研究[J].岩土力学,2011,32(11):3479-3486,8.基金项目
国家自然科学基金(No.40672191) （No.40672191）
岩土力学与工程国家重点实验室重点项目(No.SKLZ0801) （No.SKLZ0801）
岩土力学与工程国家重点实验室前沿探索性项目 (No.SKLQ001). （No.SKLQ001）
