Abstract
In this paper, an infinite sheet with a crack is studied using continuum damage mechanics technique. The formulation is based on the hypothesis of incremental complementary energy equivalence model for damage evaluation. Damage distributions in the region of a macrocrack tip are calculated for an elastic-perfectly plastic material. The size of the damage zone is also derived via the Dugdale model with damage which considers the interactions between the macrocracks and microcracks. To assess the results, comparisons are made between proposed damage model, Dugdale plastic model and finite element solutions. Good agreement is observed.
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References
J.H. Giovanola and I. Finnie, SM Archives 9 (1984) 197–225 and 227–247.
C.L. Chow and T.J. Lu, International Journal of Fracture 53 (1992) 43–75.
L.M. Kachanov, Izvestiya Akadamii Nauk USSR Otd. Tekh. 8 (1958) 26–31.
J.L. Chaboche, Revue France. Mechanique 50–51 (1974).
J. Wang, Engineering Fracture Mechanics 41 (1992) 437–441.
J. Lemaitre and J.L. Chaboche, Proceedings of IUTAM, Symposium on Mechanics of Viscoelastic Media and Bodies (1975) 291–301.
W.A. Trampczynski, D.R. Hayhurst and F.A. Leckie, Journal of the Mechanics and Physics of Solids 29 (1981) 353–374.
W.H. Tai and B.X. Yang, Engineering Fracture Mechanics 25 (1986) 377–384.
J. Lemaitre, Journal of Engineering Materials and Technology 107 (1985) 83–89.
D.S. Dugdale, Journal of the Mechanics and Physics of Solids 8 (1960) 100–104.
J. Janson, Engineering Fracture Mechanics 9 (1977) 890–899.
S. Wu, Y. Mai and B. Cotterell, International Journal of Fracture 57 (1992) 253–267.
B. Budiansky and J.W. Hutchinson, ASME Journal of Applied Mechanics 45 (1978) 267–275.
J.R. Rice, in Proceedings of International Conference on Fracture, Sendai, Japan, Vol. I (1965) 283–308.
W.H. Tai, Engineering Fracture Mechanics 37 (1990) 853–880.
A. Luo, Y. Mou and R.P.S. Han, International Journal of Fracture (1993) in press.
R.P.S. Han and Y. Mou, 14th CANCAM, Kingston, Ontario (1993).
J. Lemaitre and J.L. Chaboche, Journal of Mecanique Appliquee, 2 (1978) 317–365.
C.L. Chow and J. Wang, International Journal of Fracture 33 (1987) 3–16.
J.P. Cordebois and F. Sidoroff, J. Mec. Theor. Appl. Numero. Special (1980) 45–60.
D.P. Rooke and F.J. Bradshaw, Proceedings of the 2nd International Conference of Fracture, Brighton, U.K. (1969) 45–57.
H.M. Westergaard, ASME Journal of Applied Mechanics 6 (1939) A49-A53.
G.R. Irwin, ASME Journal of Applied Mechanics 24 (1957) 361–364.
B. Budiansky and R.J. O'Connell, International Journal of Solids and Structures 12 (1976) 81–97.
D.E. Grady and M.E. Kipp, International Journal of Rock Mechanics, Mineral Science and Geomechanics Abstracts 17 (1980) 147–157.
J.C. Jeager and N.G.W. Cook, Fundamentals of Rock Mechanics, Chapman & Hall, New York (1969).
M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions, Dover Publications Inc., New York (1972).
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Mou, Y., Han, R.P. Damage zones based on Dugdale model for materials. Int J Fract 68, 245–259 (1994). https://doi.org/10.1007/BF00013070
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DOI: https://doi.org/10.1007/BF00013070