Adaptive simulation of fracture processes based on spatial enumeration techniques

International Journal of Rock Mechanics and Mining Sciences

Volumn 34, Issue 3-4, 1997, Pages 188.e1-188.e14

  de Araujo T D P ^a   Cavalcante Neto, J B ^a   de Carvalho, M T M ^a   Bittencourt, T N ^b   Martha, L F ^a  

^a PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Automatic Mesh Generation; Computer Graphics Programs; Crack Propagation; Delaunay Triangulation; Error Estimation; Fracture; Mesh Refinement; Recursive Spatial Enumeration; Self Adaptive

Indexed keywords

BINARY TREES; COMPUTER GRAPHICS; CRACK PROPAGATION; CRACK TIPS; DUCTILE FRACTURE; FINITE ELEMENT METHOD; FRACTURE MECHANICS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS;

ADAPTIVE SIMULATION; AUTOMATIC MESH GENERATION; COMPUTER GRAPHIC PROGRAMS; CRACKS PROPAGATION; DELAUNAY TRIANGULATION; ENUMERATION TECHNIQUES; MESH REFINEMENT; RECURSIVE SPATIAL ENUMERATION; SELF-ADAPTIVE; SPATIAL ENUMERATION; ERROR ESTIMATION;

MESH GENERATION; COMPUTER SIMULATION;

EID: 0031109348     PISSN: 13651609     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1365-1609(97)00192-5     Document Type: Article

References (15)

1. Baehmann, P.L., Wittchen, S.L., Shepard, M.S., et al. Robust geometrically based, automatic two-dimensional mesh generation. International Journal for Numerical Methods in Engineering 24 (1987), 1043–1078.
2. Baehmann, P.L., Automated finite element modeling and simulation. Ph. D. Thesis, 1989, Rensselaer Polytechnic Institute, Froy-New York.
3. Barsoum, R.S., On the use of isoparametric elements in linear fracture mechanics. International Journal for Numerical Methods in Engineering 10 (1976), 25–37.
4. Bittencourt, T.N., Wawrzynek, P.A., Ingraffea, A.R., Sousa, J.L., Quasi-automatic simulation of crack propagation for 2D LEFM problems. Engineering Fracture Mechanics 55:2 (1996), 321–334.
5. Cavalcante Neto, J.B., Simulação self-adaptativa baseada em enumeração espacial recursiva de modelos bidimensionais de elementos finitos. Msc. Thesis, 1994, Pontifícia Universidade Católica do Rio de Janeiro.
6. Chew, L.P., Constrained Delaunay triangulation. Algorithmic 4 (1989), 97–108.
7. De Florani, L., Puppo, E., An on-line algorithm for constrained Delaunay triangulation. Computer Vision, Graphics, and Image Processing 54 (1992), 290–300.
8. Henshell, R.D., Shaw, K.G., Crack tip elements are unnecessary. International Journal for Numerical Methods in Engineering 9 (1975), 495–509.
9. Lo, S.H., Delaunay triangulation of non-convex planar domains. International Journal for Numerical Methods in Engineering 28 (1989), 2695–2707.
10. Martha, L.F., Menezes, I.F.M., Lages, E.M., Parente, E. Jr., Pitangueira, R.L., An OOP class organization for materially nonlinear FE analysis. Proceedings of XVII CILAMCE, Venice, Italy, 1996, 229–232.
11. Potyondy, D.O., Wawrzynek, P.A., Ingraffea, A.R., An algorithm to generate quadrilateral or triangular element surface meshes in arbitrary domains with applications to crack propagation. International Journal for Numerical Methods in Engineering 38 (1995), 2677–2701.
12. Samet, H., The quadtree and related hierarchical data structures. ACM Computer Surveys 16:2 (1984), 187–260.
13. Shaw, R.D., Pitchen, R.G., Modifications to the Suhara-Fukuda method of network generation. International Journal for Numerical Methods in Engineering 12 (1978), 93–99.
14. Wawrzynek, P.A., Ingraffea, A.R., Interactive finite element analysis of fracture processes: an integrated approach. Theor. & Appl. Frac. Mech. 8 (1987), 137–150.
15. Zienkiewicz, O.C., Zhu, J.Z., A simple error estimator and adaptive procedure for practical engineering analysis. International Journal for Numerical Methods in Engineering 24 (1987), 337–357.