Advances in tetrahedral mesh generation for modelling of three-dimensional regions with complex curvilinear crack shapes

International Journal for Numerical Methods in Engineering

Volumn 63, Issue 2, 2005, Pages 256-275

  Zuo, Jianzheng ^a   Deng, Xiaomin ^a   Sutton, Michael A ^a  

^a University of South Carolina   (United States)

Author keywords

Cracks; Mesh generation; Mesh optimization; Tetrahedral elements; Three dimensional; Volume

Indexed keywords

COMPUTATIONAL GEOMETRY; FINITE ELEMENT METHOD; NUMERICAL ANALYSIS; PARTICLE SIZE ANALYSIS; SURFACE PHENOMENA;

CRACK FRONTS; CRACK SHAPES; CRACK SURFACES; GLOBAL GEOMETRIES;

CRACK INITIATION;

CRACK; MATHEMATICAL METHOD;

EID: 18544362806     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1285     Document Type: Article

References (34)

1. Zienkiewicz OC. Achievements and some unsolved problems of the finite element method. International Journal for Numerical Methods in Engineering 2000; 47:9-28.
2. Zienkiewicz OC, Zhu JZ. A simple error estimator and adaptive procedure for practical engineering analysis. International Journal for Numerical Methods in Engineering 1987; 24:337-357.
3. Peraire J, Vahdati M, Morgan K, Zienkiewicz OC. Adaptive remeshing for compressible flow computations. Journal of Computational Physics 1987; 72:449-466.
4. Peraire J, Peiro J, Formaggia L, Morgan K, Zienkiewicz OC. Finite element Euler computations in three dimensions. International Journal for Numerical Methods in Engineering 1988; 26:2135-2159.
5. Peraire J, Peiro J, Morgan K. Adaptive remeshing for three-dimensional compressible flow computations. Journal of Computational Physics 1992; 103:269-285.
6. Moller P, Hansbo P. On advancing front mesh generation in three dimensions. International Journal for Numerical Methods in Engineering 1995; 38:3551-3569.
7. Lohner R, Parikh P. Generation of three-dimensional unstructured grids by the advancing front method. International Journal for Numerical Methods in Fluids 1988; 8:1135-1149.
8. Lo SH. A new mesh generation scheme for arbitrary planar domains. International Journal for Numerical Methods in Engineering 1985; 21:1403-1426.
9. Zuo J, Lou ZW, Zhang HT. Automatic mesh generation algorithm and its application for arbitrary multi-connected regions. Chinese Journal of Computational Structural Mechanics and Applications 1995; 12: 80-85.
10. Zuo J, Lou ZW. Automatic mesh generation and adaptivity algorithm for finite element analysis. Chinese Journal of Applied Mechanics 1996; 13:64-68.
11. Radovitzky R, Ortiz M. Tetrahedral mesh generation based on node insertion in crystal lattice arrangements and advancing-front-delaunay triangulation. Computer Methods in Applied Mechanics and Engineering 2000; 187:543-569.
12. Cavendish JC, Field DA, Frey WH. An approach to automatic three-dimensional finite element mesh generation. International Journal for Numerical Methods in Engineering 1985; 21:329-347.
13. Borouchaki H, George PL. Aspects of 2-D delaunay mesh generation. International Journal for Numerical Methods in Engineering 1997; 40:1957-1975.
14. Zheng Y, Lewis RW, Gethin DT. Three-dimensional unstructured mesh generation: Part 1. Fundamental aspects of triangulation and point creation. Computer Methods in Applied Mechanics and Engineering 1996; 134:249-268.
15. Zheng Y, Lewis RW, Gethin DT. Three-dimensional unstructured mesh generation: Part 2. Surface meshes. Computer Methods in Applied Mechanics and Engineering 1996; 134:269-284.
16. Lewis RW, Zheng Y, Gethin DT. Three-dimensional unstructured mesh generation: Part 3. Volume meshes. Computer Methods in Applied Mechanics and Engineering 1996; 134:285-310.
17. Weatherill NP, Hassan O. Efficient three-dimensional Delaunay triangulation with automatic point creation and imposed boundary constrains. International Journal for Numerical Methods in Engineering 1994; 37:2005-2039.
18. Baker TJ. Automatic mesh generation for complex three-dimensional regions using constrained delaunay triangulation. Engineering with Computers 1989; 5:161-175.
19. Yerry MA, Shephard MS. Automatic three-dimensional mesh generation by the modified octree technique. International Journal for Numerical Methods in Engineering 1984; 20:1965-1990.
20. Shephard MS, Georges MK. Automatic three-dimensional mesh generation by the finite octree technique. International Journal for Numerical Methods in Engineering 1991; 32:709-749.
21. Kallinderis Y, Vijayan P. Adaptive refinement-coarsening scheme for three-dimensional unstructured meshes. AIAA Journal 1993; 31:1440-1447.
22. Joe B. Tetrahedral mesh generation in polyhedral regions based on convex polyhedron decompositions. International Journal for Numerical Methods in Engineering 1994; 37:693-713.
23. Zhu JZ, Zienkiewicz OC. A posteriori error estimation and three-dimensional automatic mesh generation. Finite Elements in Analysis and Design 1997; 25:167-184.
24. Nishioka T, Tokudome H, Kinoshita M. Dynamic fracture-path prediction in impact fracture phenomena using moving finite element method based on delaunay automatic mesh generation. International Journal of Solids and Structures 2001; 38:5273-5301.
25. Carter BJ, Wawrzynek PA, Ingraffea AR. Automated 3-D crack growth simulation. International Journal for Numerical Methods in Engineering 2000; 47:229-253.
26. Mchollmann M, Fulland M, Richard HA. Development of a new software for adaptive crack growth simulation in 3D structures. Engineering Fracture Mechanics 2003; 70:249-268.
27. Parthasarathy VN, Graichen CM, Hathaway AF. A comparison of tetrahedron quality measures. Finite Elements Analysis Design 1993; 15: 255-261.
28. Liu A, Joe B. Relationship between tetrahedron shape measures. BIT 1994; 34:268-287.
29. Lo SH. Volume discretization into tetrahedral-II. 3D triangulation by advancing front approach. Computers and Structures 1991; 39:501-511.
30. Field DA. Laplacian smoothing and Delaunay triangulation. Communications in Applied Numerical Methods 1988; 4:709-712.
31. Hansbo P. Generalized laplacian smoothing of unstructured grids. Communications in Numerical Methods in Engineering 1995; 11:455-464.
32. Freitag LA, Ollivier-Gooch C. Tetrahedral mesh improvement using swapping and smoothing. International Journal for Numerical Methods in Engineering 1997; 40:3979-4002.
33. Cavalcante NJB, Wawrzynek PA, Carvalho MTM, Martha LF, Ingraffea AR. An algorithm for three-dimensional mesh generation for arbitrary regions with cracks. Engineering with Computers 2001; 17:75-91.
34. Pain CC, Umpleby AP, Oliveira CRE de, Goddard AJH. Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations. Computer Methods in Applied Mechanics and Engineering 2001; 190:3771-3796.