Abstract
A system of equations for effective elastic moduli of 2-D cracked solids is presented by combining the energy balance equation proposed by Shen and Yi (2000) with the integral equations which control the problem of an infinite solid with a finite number of cracks in a sub-region. Then, using Kachanov's method (Kachanov, 1987) for the solutions of the integral equations, 2-D effective bulk and shear moduli for solids with randomly distributed cracks are evaluated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Bristow, J. R. (1960) Cracks and the static and dynamic elastic constants of annealed and heavily conventional-worked metals. British J. Appl. Phys. 11, 81-85.
Budiansky, B and O'Connel, R.J. (1976) Elastic moduli of a cracked solid. Int. J. Solids Strac. 12, 81-97.
Eshelby, J.D. (1957) The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc. R. Soc. Lond. Series A241, 376-396.
Hashin, Z. (1988) The differential scheme and its application to cracked materials. J. Mech. Phys. Solids. 36, 719-734.
Kachanov, M. (1987) Elastic solids with many cracks: a simple method of analysis. Int. J. Solids Struc., 23, 23-43.
Kachanov, M. (1992) Effective elastic properties of cracked solids: critical review of some basic concepts, Appl. Mech. Rev., 45, 304-335.
Kachanov, M. (1994) Elastic solids with many cracks and related problems. Adv. Appl. Mech., 30, 259-445.
Shen L. and Yi S. (2000) New solutions for effective elastic moduli of cracked solids. Int. J. Solids Struc. 37, 3525-3534.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Shen, L., Yi, S. Approximate Evaluation for Effective Elastic Moduli of Cracked Solids. International Journal of Fracture 106, 15–20 (2000). https://doi.org/10.1023/A:1022618000584
Issue Date:
DOI: https://doi.org/10.1023/A:1022618000584