On the virtual crack extension method for calculation of the rates of energy release rate

Engineering Fracture Mechanics

Volumn 59, Issue 4, 1998, Pages 521-542

  Hwang, C G ^a   Wawrzynek, P A ^a   Tayebi, A K ^a   Ingraffea, A R ^a  

^a Department of Population Medicine and Diagnostic Sciences   (United States)

Author keywords

Crack stability; Multiple crack systems; Rates of energy release rate; Virtual crack extension method

Indexed keywords

CRACK PROPAGATION; PERTURBATION TECHNIQUES; THERMAL LOAD;

CRACK EXTENSION METHODS;

FRACTURE MECHANICS;

EID: 0032010466     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0013-7944(97)00103-3     Document Type: Article

References (21)

1. Bazant, Z. P., Scaling theories for quasibrittle fracture: recent advances and new directions. In Fracture Mechanics of Concrete Structures, Proceedings FRAMCOS-2, ed. H. Wittmann. AEDIFICATIO Publishers, D-79014 Freiburg, 1995, pp. 515-534.
2. Lin, S. C. and Abel, J. F., Variational approach for a new direct-integration form of the virtual crack extension method. International Journal of Fracture, 1988, 38, 217-235.
3. deLorenzi, H. G., On the energy release rate and the J-integral for 3-D crack configurations. International Journal of Fracture, 1982, 19, 183-193.
4. deLorenzi, H. G., Energy release rate calculations by the finite element method. Engineering Fracture Mechanics, 1985, 21, 129-143.
5. Haber, R. B. and Koh, H. M., Explicit expressions for energy release rates using virtual crack extensions. International Journal for Numerical Methods in Engineering, 1985, 21, 301-315.
6. Barbero, E. J. and Reddy, J. N., The Jacobian derivative method for three dimensional fracture mechanics. Communications in Applied Numerical Methods, 1990, 6, 507-518.
7. Ishikawa, H., A finite element analysis of stress intensity factors for combined tensile and shear loading by only a virtual crack extension. International Journal of Fracture, 1980, 16, 243-246.
8. Ishikawa, H., Kitagawa, H. and Okamura, H., J-integral of a mixed mode crack and its application. In 3rd International Conference on Mechanical Behavior of Materials. Cambridge, England, 1979, pp. 447-455.
9. Stern, M., Becker, E. B. and Dunham, R. S., A contour integral computation of mixed-mode stress intensity factors. International Journal of Fracture, 1976, 12, 359-368.
10. Yau, J. F., Wang, S. S. and Corten, H. T., A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity. Journal of Applied Mechanics, 1980, 47, 335-341.
11. Wawrzynek, P. A. and Ingraffea, A. R., Interactive finite element analysis of fracture processes: an integrated approach. Theoretical and Applied Fracture Mechanics, 1987, 8, 137-150.
12. Wawrzynek, P. A. and Ingraffea, A. R., An edge-based data structure for two dimensional finite element analysis. Engineering with Computers, 1987, 3, 13-20.
13. Bittencourt, T., Llorca, J. and Ingraffea, A. R., Simulation of arbitrary cohesive crack propagation. Fracture Mechanics of Concrete Structures, 1992, 1, 339-350.
14. Tada, H., Paris, P. and Irwin, G., The Stress Analysis of Cracks Handbooks. Del Research Corporation, Hellertown, PA, 1973 .
15. Bonnet, M., Shape differentiation and boundary integral equations: application to energy methods in fracture mechanics. Boundary Element Method XVI, Southampton, 13-15 July 1994, Computational Mechanics Publications, pp. 373-380.
16. Bazant, Z. P. and Ohtsubo, H., Stability conditions for propagation of a system of cracks in a brittle solid. Mechanics Research Communications, 1977, 4(5), 353-366.
17. Bazant, Z. P. and Wahab, A. B., Instability and spacing of cooling or shrinkage cracks. Journal of the Engineering Mechanics Division, Proc. ASCE, 1979, 105(EM5), 1979.
18. Bazant, Z. P., Ohtsubo, H. and Aho, K., Stability and post-critical growth of a system of cooling or shrinkage cracks. International Journal of Fracture, 1979, 15(5), 443-456.
19. Nemat-Nasser, S., Stability of a system of interacting cracks. Letters in Applied Engineering and Science, 1978, 16, 277-285.
20. Nemat-Nasser, S., Keer, L. M. and Parihar, K. S., Unstable growth of thermally induced interacting cracks in brittle solids. International Journal of Solids and Structures, 1978, 14, 409-430.
21. Sumi, Y., Nemat-Nasser, S. and Keer, L. M., A new combined analytical and finite-element solution method for stability analysis of the growth of interacting tension crack in brittle solids. International Journal of Engineering Science, 1980, 18, 211-224.