The self-consistent scheme is used to model the state of an elastic material with a very high density of nearly connected cracks. Then fracture mechanics is used to pose the problem of the complete and final failure of the material under uniaxial and eqibiaxial tension. These failure states are taken to be those of the extreme case of brittle fracture. A specific form for the resulting extreme brittle failure criterion is given.
Issue Section:
Technical Papers
1.
Kachanov
, M.
, 1992
, “Effective Elastic Properties of Cracked Solids: Critical Review of Some Basic Concepts
,” Appl. Mech. Rev.
, 45
, pp. 304
–335
.2.
Kanninen, M. F., and Popelar, C. H., 1985, Advanced Fracture Mechanics, Oxford University Press, Oxford.
3.
Budiansky
, B.
, and O’Connell
, R. J.
, 1976
, “Elastic Moduli of a Cracked Solid
,” Int. J. Solids Struct.
, 12
, pp. 81
–97
.4.
Laws
, N.
, and Brockenbrough
, J. R.
, 1987
, “The Effect of Microcrack Systems on Loss of Stiffness of Brittle Solids
,” Int. J. Solids Struct.
, 23
, pp. 1247
–1268
.5.
Gottesman, T., Hashin, Z., and Brull, M. A., 1980, “Effective Elastic Moduli of Cracked Fiber Composite Materials,” Advances in Composite Materials, Proc. ICCM 3, Bunsell et al., eds., Pergamon, Oxford, pp. 749–758.
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by ASME
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