TECHNICAL PAPERS
Jul 1, 1987

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.

Get full access to this article

View all available purchase options and get full access to this article.

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.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 113Issue 7July 1987
Pages: 984 - 999

History

Published online: Jul 1, 1987
Published in print: Jul 1987

Permissions

Request permissions for this article.

Authors

Affiliations

Emmanuel K. Attiogbe, A. M. ASCE
Res. Engr., Univ. of Kansas Ctr. for Res., Lawrence, KS 66045; formerly Postdoctoral Fellow, Univ. of Manitoba, Winnipeg, Manitoba, Canada R3T, 2N2
David Darwin, M. ASCE
Prof. of Civ. Engrg. and Dir., Struct. Engrg. and Materials Lab., Univ. of Kansas, Lawrence, KS 66045

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share