Solid Modeling Aspects of Three-Dimensional Fragmentation

Engineering with Computers

Volumn 14, Issue 4, 1998, Pages 287-308

  Pandolfi, A ^a   Ortiz, M ^b  

^a POLITECNICO DI MILANO   (Italy)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Automatic meshing; Boundary representation; Finite element; Solid modeling; Three dimensional fragmentation; Topological Evolution

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; CRACKS; FINITE ELEMENT METHOD; FRACTURE; MATHEMATICAL MODELS; TOPOLOGY;

AUTOMATIC MESHING; BOUNDARY REPRESENTATION;

INTERFACES (MATERIALS);

EID: 0032312747     PISSN: 01770667     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01201761     Document Type: Article

References (70)

1. Requicha, A. A. G. (1980) Representations for rigid solids: theory, methods and systems, Computing Surveys, 12; 437-465
2. Mantyla, M. (1988) An Introduction to Solid Modeling, Computer Science Press, Rockwille, MD
3. Hoffmann, C. M. (1989) Geometric and Solid Modeling, Morgan Kaufmann, San Mateo, CA
4. Boender, E.; Bronsvoort, W. F.; Post, F. H. (1994) Finite element mesh generation from constructive solid geometry models, Computer Aided Design, 26(5); 379-392
5. Rypl, D.; Krysl, P. (1997) Triangulation of 3d surfaces. Engineering with Computers, 13(2); 87-98
6. Camacho, G. T.; Ortiz, M. (1997) Adaptive Lagrangian modelling of ballistic penetration of metallic targets, Computer Methods in Applied Mechanics and Engineering, 142; 269-301
7. Radovitzky, R.; Ortiz, M. (1998) Tetrahedral mesh generation based on hole insertion in crystal lattice arrangements and advancing-front-Delaunay triangulation, submitted
8. Dyn, N.; Levin, D. (1990) A butterfly subdivision scheme for surface interpolation with tension control, AMC Transaction on Graphics, 9; 160-169
9. Dyn, N.; Levin, D.; Liu, D. (1992) Interpolatory convexity-preserving subdivision schemes for curves and surfaces, Computer-Aided Design, 24; 211-216
10. Kobbelt, L. (1996) Interpolatory subdivision on open quadrilateral nets with arbitrary topology, Computer Graphics Forum, 15(3), C409
11. Peraire, J.; Vahdati, M.; Morgan, K.; Zienkiewicz, O. C. (1987) Adaptive remeshing for compressible flow computations, Journal of Computational Physics, 72; 449-466
12. Peraire, J.; Peiro, J.; Formaggia, L.; Morgan, K.; Zienkiewicz, O. C. (1988) Finite element Euler computations in three dimensions, International Journal for Numerical Methods in Engineering, 26; 2135-2159
13. Lohner, R.; Parikh, P. (1988) Generation of three-dimensional unstructure grids by the advancing-front method. International Journal for Numerical Methods in Fluids, 8; 1135-1149
14. Morgan, K.; Peraire, J.; Peiro, J. (1991) The computation of three-dimensional flows using unstructured grids, Computer Methods in Applied Mechanics and Engineering, 87; 335-352
15. Peraire, J.; Peiro, J. (1992) Adaptive remeshing for three-dimensional compressible flow computations, Journal of Computational Physics, 103; 269-285
16. Probert, E. J.; Hassan, O.; Morgan, K.; Peraire, J. (1996) Unstructured tetrahedral mesh generation for three-dimensional viscous flows, International Journal for Numerical Methods in Engineering, 39; 549-567
17. Chan, C. T.; Anastasiou, K. (1997) An automatic tetrahedral mesh generation scheme by the advancing-front method, Communications in Applied Numerical Methods, 13; 33-46
18. Cavendish, J. C.; Field, D. A.; Frey, W. H. (1985) An approach to automatic three-dimensional finite element mesh generation, International Journal for Numerical Methods in Engineering, 21; 329-347
19. Marcum, D. L.; Weatherill, N. P. (1995) Unstructured grid generation using iterative point insertion and local reconnection, AIAA Journal, 33(9); 1619-1625
20. Schroeder, W. J.; Shephard, M. S. (1988) Geometry-based fully automatic mesh generation and the Delaunay triangulation, International Journal for Numerical Methods in Engineering, 26; 2503-2515
21. Baker, T. J. (1989) Automatic mesh generation for complex 3-dimensional regions using a constrained Delaunay triangulation, Engineering with Computers. 5; 161-175
22. Schroeder, W. J.; Shephard, M. S. (1989) An O(N) algorithm to automatically generate geometric triangulation satisfying the Delaunay circumsphere criteria, Engineering with Computers, 5; 177-193
23. Weatherill, N. P. (1990) The integrity of geometrical boundaries in the two-dimensional Delaunay triangulation, Communications in Applied Numerical Methods, 6; 101-109
24. Schroeder, W. J.; Shephard, M. S. (1990) A combined octree/Delaunay method for fully automatic 3-d mesh generation, International Journal for Numerical Methods in Engineering, 29; 37-55
25. De Floriani, L.; Puppo, E. (1992) An on-line algorithm for constrained Delaunay triangulation, CVGIP: Graphical Models and Image Processing, 54(3); 290-300
26. Sloan, S. W. (1993) A fast algorithm for generating constrained Delaunay triangulations, Computers and Structures, 47; 441-450
27. Muller, J. D.; Roe, P. L.; Deconinck, H. (1993) A frontal approach for internal node generation in Delaunay triangulations, International Journal for Numerical Methods in Fluids, 17; 241-255
28. Mavriplis, D. J. (1993) An advancing-front Delaunay triangulation algorithm designed for robustness, AIAA, paper 93-0671
29. Weatherill, N. P.; Hassan, O. (1994) Efficient three-dimensional Delaunay triangulation with automatic point creation and imposed boundary constraints, International Journal for Numerical Methods in Engineering, 37; 2005-2039
30. Wright, J. P.; Jack, A. G. (1994) Aspects of three-dimensional constrained Delaunay meshing, International Journal for Numerical Methods in Engineering, 37; 1841-1861
31. Borouchaki, H.; George, P. L.; Lo, S. H. (1996) Optimal Delaunay point insertion. International Journal for Numerical Methods in Engineering, 39(20); 3407-3437
32. th International meshing roundtable, 267-276, Park City, UT, Sandia National Laboratories
33. Shephard, M. S. (1985) Finite element modeling within an integrated geometric modeling environment: Part I - mesh generation, Engineering with Computers, 1; 61-71
34. Yerry, M. A.; Shephard, M. S. (1985) Automatic mesh generation for three-dimensional solids, Computers and Structures, 20; 211-223
35. Baehmann, P. L.; Wittchen, S. L.; Shephard, M. S.; Grice, K. R.; Yerry, M. A. (1987) Robust, geometrically based, automatic two-dimensional mesh generation, International Journal for Numerical Methods in Engineering, 24; 1043-1078
36. Baehmann, P. L.; Shephard, M. S.; Ashley, R. A.; Jay, A. (1988) Automated metalforming modeling utilizing adaptive remeshing and evolving geometry, Computers and Structures, 30; 319-325
37. Baehmann, P. L.; Shephard, M. S. (1989) Adaptive multiple-level h-refinement in automated finite element analyses, Engineering with Computers, 5; 235-247
38. Shephard, M. S.; Georges, M. K. (1991) Automatic three-dimensional mesh generation by the finite octree technique. International Journal for Numerical Methods in Engineering, 32(4); 709-749
39. Brasher, D. G.; Butler, D. J. (1995) Explosive welding - principles and potentials, Advances in Materials Processing, 147(3); 37-38
40. Goh, G. K. E.; Lim, E. C.; Rahman, M.; Lim, S. C. (1996) Transitions in wear mechanisms of alumina cutting tools, Wear, 201(1-2); 199-208
41. Ramanujachar, K.; Subramanian, S. V. (1996) Micromechanisms of tool wear in machining free cutting steels, Wear, 197(1-2); 45-55
42. Camacho, G. T.; Ortiz, M. (1996) Computational modelling of impact damage in brittle materials, International Journal of Solids and Structures, 33(20-22); 2899-2938
43. Ortiz, M. (1996) Computational micromechanics, Computational Mechanics, 18; 321-338
44. Field, J. E.; Sun, Q.; Townsend, D. (1989) Ballistic impact of ceramics. Inst. Phys. Conf. Ser. No. 102: Session 7, Paper presented at Int. Conf. Mech. Prop. Materials at High Rates of Strain, Oxford
45. Kipp, M. E.; Grady, D. E.; Swegle, J. W. (1993) Numerical and experimental studies of high-velocity impact fragmentation, International Journal of Impact Engineering, 14; 427-438
46. Woodward, R. L.; Gooch, W. A.; O'Donnell, R. G.; Perciballi, W. J.; Baxter B. J.; Pattie, S. D. (1994) A study of fragmentation in the ballistic impact of ceramics, International Journal of Impact Engineering, 15(5); 605-618
47. Piekutowski, A. J. (1995) Fragmentation of a sphere initiated by hypervelocity impact with a thin sheet, International Journal of Impact Engineering, 17; 627-638
48. Ortiz, M.; Suresh, S. (1993) Statistical properties of residual stresses and intergranular fracture in ceramic materials, Journal of Applied Mechanics, 60; 77-84
49. Xu, X. P.; Needleman, A. (1994) Numerical simulations of fast crack growth in brittle solids, Journal of the Mechanics and Physics of Solids, 42; 1397
50. De-Andrés, A.; Pérez, J. L.; Ortiz, M. (1998) Elastoplastic finite element analysis of three-dimensional fatigue crack growth in aluminum shafts subjected to axial loading. IJSS (in press)
51. Potapov, A.; Campbell, C. S. (1996) A hybrid finite-element simulation of solid fracture, International Journal of Modern Physics, C 7(2); 155-180
52. Potapov, A.; Campbell, C. S. (1996) A three-dimensional simulation of brittle solid fracture, International Journal of Modern Physics, C 7(5); 717-729
53. Rice, D. L.; Ting, E. C. (1993) Fragmentation algorithm for finite element failure simulation and analysis, International Journal for Numerical Methods in Engineering, 36; 3859-3881
54. Wawrzynek, P. A.; Martha, L. F.; Ingraffea, A. R. (1988) A computational environment for the simulation of fracture processes in three dimensions, analytical, numerical and experimental aspects of three dimensional fracture processes, ASME-AMD, 91; 321-327
55. Wawrzynek, P. A.; Martha, L. F.; Ingraffea, A. R. (1989) Fransys: a software system for the simulation of crack propagation in three dimensions, Proc. Of the IUTAM/IACM Symposium on Discretization Methods in Structural Mechanics, Vienna, Austria, 271-282, July
56. Martha, L. F.; Wawrzynek, P. A.; Ingraffea, A. R. (1990) Simulation of arbitrary crack propagation in three dimensions. In: A. R. Luxmore and D. R. J. Owen (eds), Numerical Methods in Fracture Mechanics - Proceedings of the Fifth International Conference Freiburg, Germany, 115-127, Pineridge Press
57. Martha, L. F.; Wawrzynek, P. A.; Ingraffea, R. (1993) Arbitrary crack representation using solid modeling, Engineering and Computers, 9; 63-82
58. Ortiz, M.; Pandolfi, A. (1997) A class of cohesive elements for the simulation of three-dimensional crack propagation, IJNME (in press)
59. Standish, T. A. (1995) Data Structures, Algorithms and Software Principles in C, Addison-Wesley, New York
60. Guillemin, V.; Pollack, A. (1974) Differential Topology, Prentice-Hall, Englewood Cliffs, NJ
61. Radovitzky, R.; Ortiz, M. (1997) Error estimation and adaptive meshing in strongly non-linear dynamic problems, Computer Methods in Applied Mechanics and Engineering (in press)
62. Samet, H. (1990) The Design and Analysis of Spatial Data Structures, Addison-Wesley, New York
63. Mathur, K. K.; Needleman, A.; Tvergaard, V. (1996) Three dimensional analysis of dynamic ductile crack growth in a thin plate, Journal of the Mechanics and Physics of Solids, 44; 439-464
64. Dugdale, D. S. (1960) Yielding of steel sheets containing slits, Journal of the Mechanics and Physics of Solids, 8; 100-104
65. Barrenblatt, G. I. (1962) The mathematical theory of equilibrium of cracks in brittle fracture, Advances in Applied Mechanics, 7; 55-129
66. Willam, K. (1989) Simulation issues of distributed and localized failure computations. In: J. Mazars and Z. P. Bazant (eds), Cracking and Damage, 363-378. Elsevier Science, New York
67. Xu, X.-P.; Needleman, A. (1995) Numerical simulations of dynamic interfacial crack growth allowing for crack growth away from the bond line, International Journal of Fracture, 74; 253-275
68. Xu, X.-P.; Needleman, A. (1996) Numerical simulations of dynamic crack growth along an interface, International Journal of Fracture, 74; 289-324
69. Belytschko, T. (1983) An overview of semidiscretization and time integration procedures. In: T. Belytschko and T. J. R. Hughes (eds), Computational Methods for Transient Analysis, 1-65, North-Holland
70. Hughes, T. J. R. (1983) Analysis of transient algorithms with particular reference to stability behavior. In: T. Belytschko and T. J. R. Hughes (eds), Computational Methods for Transient Analysis, 67-155, North-Holland