A penny-shaped cohesive crack model for material damage

Theoretical and Applied Fracture Mechanics

Volumn 42, Issue 3, 2004, Pages 303-316

  Wang, G ^a   Li, S F ^a  

^a Berkeley   (United States)

Author keywords

Cohesive crack model; Damage; Fracture; Homogenization; Micromechanics; Plasticity

Indexed keywords

COMPOSITE MICROMECHANICS; DEGRADATION; FAILURE (MECHANICAL); MATERIALS SCIENCE; MATHEMATICAL MODELS; POISSON RATIO; VOLUME FRACTION;

CRACK MODELS; MATERIAL DAMAGE PROCESSES; MICRO-CRACKS; PENNY-SHAPED COHESIVE CRACKS;

CRACKS;

CRACK PROPAGATION; DAMAGE; HOMOGENIZATION; PLASTICITY;

EID: 10244234141     PISSN: 01678442     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tafmec.2004.09.005     Document Type: Article

References (31)

1. G.I. Barenblatt The formation of equilibrium cracks during brittle fracture Journal of Applied Mathematics & Mechanics 23 1959 622-636
2. G.I. Barenblatt Mathematical Theory of Equilibrium Cracks in Brittle Fracture Advances in Applied Mechanics vol. 7 1962 Academic Press 55-129
3. B. Budiansky J.R. Rice Conservation laws and energy release rates Journal of Applied Mechanics 26 1973 201-203
4. B. Budiansky R.J. O'Connell Elastic moduli of a cracked solid International Journal of Solids and Structures 12 1976 81-97
5. W.R. Chen L.M. Keer Fatigue crack growth in mixed mode loading ASME Journal of Engineering Materials and Technology 113 1991 222-227
6. W.R. Chen L.M. Keer Mixed-mode fatigue crack propagation of penny-shaped cracks ASME Journal of Engineering Materials and Technology 115 1993 365-372
7. D.S. Dugdale Yielding of steel sheets containing slits Journal of Mechanics and Physics of Solids 8 1960 100-104
8. J.D. Duva J.W. Hutchinson Constitutive potentials for dilutely voided nonlinear materials Mechanics of Materials 3 1984 41-54
9. N. Fleck Brittle fracture due to an array of microcracks Proceedings of Royal Society of London Series A 432 1991 55-76
10. M. Gologanu J.B. Leblond J. Devaux Recent extensions of Gurson's model for porous ductile metals P. Suquet (Ed.) Continuum Micromechanics 1995 Springer-Verlag 61-130
11. A.L. Gurson, Plastic flow and fracture behavior of ductile materials incorporating void nucleation, growth and interaction, Ph.D. Thesis, Brown University, RI, 1975
12. A.L. Gurson Continuum theory of ductile rupture by void nucleation and growth: Part I. Yield criteria and flow rules for porous ductile materials Journal of Engineering Materials and Technology 99 1977 2-15
13. R. Hill Theory of mechanical properties of fiber-strengthened materials-III: Self-consistent model Journal of the Mechanics and Physics of Solids 13 1965 189-198
14. R. Hill A self-consistent mechanics of composite materials Journal of the Mechanics and Physics of Solids 13 1965 213-222
15. J.W. Hutchinson Crack tip shielding by micro-cracking in brittle solids Acta Metallurgica 35 1987 1605-1619
16. M. Kachanov Elastic solids with many cracks and related problems J.W. Hutchinson T. Wu (Eds.) Advances in Applied Mechanics vol. 32 1994 Academic Press New York 259-445
17. L.M. Keer, T. Mura, Stationary crack and continuous distributions of dislocations, in: Proceedings of The First International Conference on Fracture, vol. 1, The Japanese Society for Strength and Fracture of Materials, 1965, pp. 99-115
18. A.P. Kfouri Crack separation energy-rates for the DBCS model under biaxial modes of loading Journal of Mechanics and Physics of Solids 27 1979 135-150
19. D. Krajcinovic Damage Mechanics 1996 Elsevier Amsterdam-New York
20. F.A. McClintock A criterion for ductile fracture by the growth of holes ASME Journal of Applied Mechanics 35 1968 363-371
21. S.F. Li G. Wang On damage theory of a cohesive medium International Journal of Engineering Science 42 2004 861-885
22. T. Mura Micromechanics of Defects in Solids 1987 Martinus Nijhoff Publishers Dordrecht
23. S. Nemat-Nasser M. Hori Micromechanics: Overall Properties of Heterogeneous Materials 2nd ed. 1999 Elsevier Amsterdam-Lausanne-New York-Oxford
24. T. Pardoen J.W. Hutchinson An extended model for void growth and coalescence Journal of the Mechanics and Physics of Solids 48 2000 2467-2512
25. J.R. Rice A path independent integral and the approximate analysis of strain concentration by notches and cracks ASME Journal of Applied Mechanics 35 1968 379-386
26. J.R. Rice Mathematical analysis in the mechanics of fracture H. Liebowitz (Ed.) Fracture: An Advanced Treatise vol. 2 1968 Academic Press 191-311
27. V. Tvergaard Influence of voids on shear band instabilities under plane strain conditions International Journal of Fracture 17 1981 389-407
28. V. Tvergaard On localization in ductile materials containing voids International Journal of Fracture 18 1982 237-251
29. V. Tvergaard, Material failure by void growth to coalescence, in: J.W. Hutchinson, T.Y. Wu (Eds.), Advances in Applied Mechanics, vol. 27, Academic Press, New York, 1990, pp. 83-151
30. V. Tvergaard A. Needleman Analysis of the cop-cone fracture in a round tensile bar Acta Metallurgica 32 1984 157-169
31. M.P. Wnuk Mathematical modeling of nonlinear phenomena in fracture mechanics M.P. Wnuk Nonlinear Fracture Mechanics 1990 Springer-Verlag Wien-New York 359-451