A computational procedure for simulation of crack advance in arbitrary two-dimensional domains

Computational Mechanics

Volumn 20, Issue 1-2, 1997, Pages 133-138

  Rashid, M M ^a  

^a University of California Davis   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038396607     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050229     Document Type: Article

References (24)

1. Aoki, S.; Kishimoto, K.; Kondo, H.; Sakata, M. (1978) Elastodynamic analysis of crack by finite element method using singular element. Int. J. Fract. 14, 59-68
2. Belytschko, T.; Lu, Y. Y.; Gu, L. (1994) Element-free Galerkin methods. Int. J. Num. Meth. Eng. 37, 229-256
3. Belytschko, T.; Lu, Y. Y.; Gu, L.; Tabbara, M. (1995) Element-free Galerkin methods for static and dynamic fracture. Int. J. Solids Struct. 32, 2547-2570
4. Belytschko, T.; Fish, J.; Bayliss, A. (1990) The spectral overlay on finite elements for problems with high gradients. Computer Meth. Appl. Mech. Eng. 81, 71-89
5. Dong, S. B. (1983) Global-local finite element methods, In: Noor, A. K.; Pilkey, W. D. (eds.): State-of-the-Art Surveys on Finite Element Technology, chapter 14, ASME, New York
6. Fish, J.; Markolefas, S. (1993) Adaptive s-method for linear elastostatics. Computer Meth. Appl. Mech. Eng. 104, 363-396
7. Fish, J. (1992) The s-version of the finite element method. Comp Struct. 43, 539-547
8. Hughes, T. J. R. (1987) The Finite Element Method: Linear Static and Dynamic Analysis. Prentice-Hall, Englewood Cliffs, New Jersey, USA
9. Keegstra, P. N. R.; Head, J. L.; Turner, C. E. (1978) A two-dimensional dynamic linear-elastic finite-element program for the analysis of unstable crack propagation and arrest. In: Luxmoore, A. R.; Owen, D. R. J. (eds.): Numerical Methods in Fracture Mechanics, University College, Swansea, pp. 634-647
10. Kobayashi, A. S.; Mall, S.; Urabe, Y.; Emery, A. F. (1978) A numerical dynamic fracture analysis of three wedge-loaded DCB specimens, In: Luxmoore, A. R.; Owen, D. R. J. (eds.): Numerical Methods in Fracture Mechanics, University College, Swansea, pp. 673-684
11. Lee, C. K.; Lo, S. H. (1992) An automatic adaptive refinement finite element procedure for 2D elastostatic analysis. Int. J. Num. Meth. Eng. 35, 2189-2210
12. Liebowitz, H.; Sandhu, J. S.; Lee, J. D.; Menandro, F. C. M. (1995) Computational fracture mechanics: research and application. Eng. Fract. Mech. 50, 653-670
13. Malluck, J. F.; King, W. W. (1978) Fast fracture simulated by finite-element analysis which accounts for crack-tip energy dissipation. In: Luxmoore, A. R.; Owen D. R. J. (eds.): Numerical Methods in Fracture Mechanics, University College, Swansea, pp. 648-659
14. Min, J. B.; Bass, J. M.; Spradley, L. W. (1994) Adaptive finite element methods for two-dimensional problems in computational fracture mechanics. Comp. Struct. 50, 433-445
15. Murakami, Y. (1987): Stress Intensity Factors Handbook (vol. 1), Pergamon, Oxford
16. Newman, J. C. (1971): An improved method of collocation for the stress analysis of cracked plates with various shaped boundaries. NASA Report TN D-6376
17. Nishioka, T.; Stonesifer, R. B.; Atluri, S. N. (1981): An evaluation of several moving singularity finite element procedures for analysis of fast fracture. Eng. Fract Mech. 15, 205-218
18. Noor, A. K. (1986): Global-local methodologies and their application to nonlinear analysis. Finite Elements Anal. Design 2, 333-346
19. Potyondy, D. O.; Wawrzynek, P. A.; Ingraffea, A. R. (1995): An algorithm to generate quadrilateral or triangular element surface meshes in arbitrary domains with application to crack propagation, Int. J. Num. Meth. Eng. 38, 2677-2701
20. Rashid, M. M. (1997a) A new theory for free-surface formation in solid continua. Int. J. Solids Struct. (to appear)
21. Rashid, M. M. (1997b) The arbitrary local mesh replacement method: an alternative to remeshing for crack propagation analysis. Computer Meth. Appl. Mech. Eng. (to appear)
22. c95 - Proc. Int. Conf. Computational Engng. Sci. (vol. 2), Springer-Verlag, Berlin, pp. 1709-1714
23. Thesken, J. C.; Gudmundson, P. (1991) Application of a moving variable order singular element to dynamic fracture mechanics. Int. J. Fract. 52, 47-65
24. Yagawa, G.; Sakai, Y.; Ando, Y. Analysis of a rapidly propagating crack using finite elements. In: Hahn, G. T.; Kanninen, M. F. (eds.): Fast Fracture and Crack Arrest, ASTM STP 627, pp. 109-22