Self‐Consistent Model for Transversely Isotropic Cracked Solid
Publication: Journal of Engineering Mechanics
Volume 113, Issue 7
Abstract
The self‐consistent energy method is used to develop a model for determining the effective moduli of a transversely isotropic cracked solid. To apply the technique, the three‐dimensional crack distributions within the solid must be known. Results are presented for a series of transversely isotropic cracked solids using crack distributions in which all orientations are represented. This type of distribution is typical of crack distributions in cement paste and mortar. The sensitivity of the model to variations in crack size and orientation is discussed. The crack‐induced variations in moduli depend primarily on a parameter representing the volume density of the cracks and on the degree of anisotropy.
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References
1.
Attiogbe, E. K., and Darwin, D. (1985). “Submicroscopic cracking of cement paste and mortar in compression.” Structural Engineering and Engineering Materials SM Report No. 16, Univ. of Kansas Center for Research, Inc., Lawrence, Kan.
2.
Attiogbe, E. K., and Darwin, D. (1986). “Correction of window size distortion of crack distributions on plane sections.” J. Microscopy, 144(1), 71–82.
3.
Attiogbe, E. K., and Darwin, D. (1987). “Conversion of Surface crack distributions to spatial distributions.” J. of Microscopy, in press.
4.
Budiansky, B. (1965). “On the elastic moduli of some heterogeneous materials.” J. Mech. and Physics of Solids, 13(2), 223–226.
5.
Budiansky, B., and O'Connell, R. J. (1976). “Elastic moduli of a cracked solid.” Intl. J. Solids and Struct., 12(2), 81–97.
6.
Hill, R. (1965). “A self‐consistent mechanics of composite materials.” J. Mech. and Physics of Solids, 13(2), 213–222.
7.
Hoenig, A. (1978). “The behavior of a flat elliptical crack in an anisotropic elastic body.” Int. J. Solids and Struct., 14(11) 925–934.
8.
Hoenig, A. (1979). “Elastic moduli of a non‐randomly cracked body.” Int. J. Solids and Struct., 15(2), 137–154.
9.
Hoenig, A. (1982). “Near‐tip behavior of a crack in a plane anisotropic elastic body.” Eng. Fracture Mech., 16(3), 393–403.
10.
Horii, H., and Nemat‐Nasser, S. (1983). “Overall moduli of solids with microcracks: load‐induced anisotropy.” J. Mech. and Physics of Solids, 31(2), 155–171.
11.
Laws, N. (1974). “The over‐all thermoelastic moduli of transversely isotropic composites according to the self‐consistent method.” Int. J. Engrg. Sci., 12(1), 79–87.
12.
O'Connell, R. J., and Budiansky, B. (1974). “Seismic velocities in dry and saturated cracked solids.” J. Geophys, Res., 79(35), 5412–5425.
13.
Sih, G. C., Paris, P. C., and Irwin, G. R. (1965). “On cracks in rectilinearly anisotropic bodies.” Intl. J. Fracture Mech., 1(3), 189–202.
14.
Weibel, E. R. (1980). Stereological methods, 2, Academic Press, London, England.
15.
Wu, E. M. (1968). “Fracture mechanics of anisotropic plates.” Composite materials workshop, S. W. Tsai, J. C. Halpin, and N. J. Pagano, Eds., TECHNOMIC Publ. Co., Stanford, Conn., 20–43.
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Copyright © 1987 ASCE.
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Published online: Jul 1, 1987
Published in print: Jul 1987
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