An Element Free Galerkin analysis of steady dynamic growth of a mode i crack in elastic-plastic materials

International Journal of Solids and Structures

Volumn 36, Issue 7, 1999, Pages 1045-1079

  Xu, Yu ^a   Saigal, Sunil ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

ELASTOPLASTICITY; FINITE ELEMENT METHOD; GALERKIN METHODS; STRAIN HARDENING; STRAIN RATE; VISCOSITY;

ELASTIC PLASTIC MATERIALS; ELEMENT FREE GALERKIN METHOD;

CRACK PROPAGATION;

EID: 0033098675     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00337-5     Document Type: Article

References (24)

1. Achenbach J. D., Kanninen M. F., Popelar C. H. Journal of the Mechanics and Physics of Solids. 29:1981;211-225.
2. Achenbach J. D., Dunayevsky V. Journal of the Mechanics and Physics of Solids. 29:1981;283-303.
3. Akin J. E. International Journal of Numerical Methods in Engineering. 10:1976;1249-1259.
4. Belytschko T., Lu Y. Y., Gu L. International Journal of Numerical Methods in Engineering. 37:1994;229-256.
5. Brickstad B. Journal of the Mechanics and Physics of Solids. 31:1983;307-327.
6. Dean R. H., Hutchinson J. W. In. 405:1980;700.
7. Drugan W. J., Rice J. R., Sham T. L. Journal of the Mechanics and Physics of Solids. 30:1982;447-473.
8. Freund, F. B. (1976) The analysis of elastodynamic crack tip fields. In Mechanics Today, ed. S. Nemat-Nasser, 3, 55-91. Pergamon Press, Oxford.
9. Freund F. B., Hutchinson J. W. Journal of the Mechanics and Physics of Solids. 33:1985;169-191.
10. Freund F. B., Hutchinson J. W., Lam P. S. Engng. Frac. Mech. 23:1986;119-129.
11. Gao Y. C., Nemat-Nasser S. Dynamic fields near a crack tip growing in an elastic-perfectly plastic solid. 2:1983;47-60.
12. Lam, P. S. and Freund, L. B. (1983) Elastic-plastic finite element analysis of steady state dynamic crack growth in plane strain tension. Brown University, MRL E-149.
13. Lam P. S., Freund L. B. Journal of the Mechanics and Physics of Solids. 33:1985;153-167.
14. Leighton J. T., Champion C. R., Freund L. B. Journal of the Mechanics and Physics of Solids. 35:1987;541-563.
15. Lo K. K. Journal of the Mechanics and Physics of Solids. 31:1983;287-305.
16. Mataga, P. A. (1986) High strain-rate crack growth. Ph.D. thesis, Harvard University.
17. Mataga P. A., Freund L. B., Hutchinson J. W. J. Phys. Chem. Solids. 48:1987;985-1005.
18. Ostlund S. International Journal of Fracture. 44:1990;283-299.
19. Parks, D. M., Lam, P. S. and McMeeking, R. M. (1981) Some effects of inelastic constitutive model on crack tip fields in steady quasi-static growth. In Advances in Fracture Research, ed. D. Francois, 5, 2607-2614. Pergamon Press.
20. Shenoy V. B., Krishna K. R. Journal of Engineering Materials and Technology. 116:1994;465-470.
21. Slepyan, L. I. (1976) Crack dynamics in an elastic-plastic body. Mekhanika Tverdogo Tela 11.
22. Xu, Y. (1996) The element free Galerkin formulation for steady crack growth. Ph.D. thesis, Carnegie Mellon University.
23. Xu, Y. and Saigal, S. (1997a) An element free Galerkin formulation for stable crack growth in an elastic solid. Computer Methods in Applied Mechanics and Engineering, to be published.
24. Xu, Y. and Saigal, S. (1997b) An element free Galerkin study of steady quasi-static crack growth in plane strain tension in elastic-plastic materials. Computational Mechanics, to be published.