Elastic Stiffness of Flat Anchor Region at Cracked Geological Interface
Publication: Journal of Engineering Mechanics
Volume 115, Issue 1
Abstract
The present paper examines the problem of a flat circular anchoring region that is embedded at an elastic medium‐rigid surface interface. The compliance of the anchor is enhanced by the presence of a debonded region. The paper develops a mathematical analysis of the ensuing elastostatic contact problem. A numerical scheme coupled with a bounding technique is used to develop a set of bounds for the elastic stiffness of the anchor region. The numerical results presented in the paper illustrate the manner in which the elastic stiffness of the anchor is influenced by the extent of the cracked region and Poisson's ratio of the elastic medium.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Ballarini, R., Shah, S. P., and Keer, L. M. (1986), “Failure characteristics of short anchor bolts embedded in a brittle material.” Proc. Royal Soc. (London), Series A, 404, 35–54.
2.
Coates, D. F., and Yu, Y. S. (1970). “Three‐dimensional stress distributions around a cylindrical hole and anchor.” Proc. 2nd Congress, Int. Soc. Rock Mech., Beograd, Yugoslavia, Vol. 3, 175–182.
3.
Erdelyi, A., et al. (1954). Tables of integral transforms. Vols. I and II, McGraw‐Hill, New York, N.Y.
4.
Gladwell, G. M. L. (1980) Contact problems in the classical theory of elasticity. Sijthoff and Noordhoff, The Netherlands.
5.
Hobst, L., and Zajic, J. (1983). Anchoring systems in rock and soil, Developments in geotechnical engineering. Vol. 33, Elsevier Scientific Publ. Co., Amsterdam, The Netherlands.
6.
Jaeger, C. (1972). Rock mechanics and engineering. Cambridge University Press, London, U.K.
7.
Littlejohn, G. S. (1970). “Soil anchors.” Ground engineering, Proc. ICE Conf., London, U.K., 33–44.
8.
Love, A. E. H. (1927). A treatise on the mathematical theory of elasticity. Cambridge University Press, London, U.K.
9.
Luk, V. K., and Keer, L. M. (1980). “Stress analysis of a deep rigid axially loaded cylindrical anchor in an elastic medium.” Int. J. Numer. Anal. Methods Geomech., 4, 215–232.
10.
Rowe, R. K., and Davis, E. H. (1982). The behavior of anchor plates in clay.” Geotechnique, 32, 9–23.
11.
Selvadurai, A. P. S. (1976). “The load deflexion characteristics of a deep rigid anchor in an elastic medium.” Geotechnique, 26, 602–612.
12.
Selvadurai, A. P. S. (1978). “The time‐dependent response of a deep rigid anchor in a viscoelastic medium.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 15, 11–19.
13.
Selvadurai, A. P. S. (1980). “The eccentric loading of a rigid circular foundation embedded in an isotropic elastic medium.” Int. J. Numer. Anal. Methods Geomech., 4, 121–129.
14.
Selvadurai, A. P. S. (1984). “Elastostatic bounds for the stiffness of an elliptical disc inclusion embedded at a transversely isotropic bi‐material interface.” J. Appl. Math. Phys., ZAMP, 35, 13–23.
15.
Selvadurai, A. P. S. (1986). “On an integral equation governing an internally indented penny‐shaped carck.” Mech. Res. Commun., 12, 347–351.
16.
Selvadurai, A. P. S., and Rajapakse, R. K. N. D. (1985). “On the load transfer from a rigid cylindrical inclusion into an elastic halfspace.” Int. J. Solids Struct., 21, 1213–1229.
17.
Selvadurai, A. P. S., and Singh, B. M. (1984). “On the expansion of a penny‐shaped crack by a rigid circular disc inclusion.” Int. J. Fracture, 25, 69–77.
18.
Selvadurai, A. P. S., Singh, B. M., and Au, M. C. (1989). “Boussinesq's problem for a debonded boundary.” J. Appl. Math. Phys. ZAMP (in press).
19.
Sneddon, I. N. (1966). Mixed boundary value problems in potential theory. North Holland, Amsterdam, The Netherlands.
20.
Sneddon, I. N. (1975). Application of integral transforms in the theory of elasticity, CISM Courses and Lectures No. 220, Springer‐Verlag, Wien, Austria.
21.
Stephansson, O., ed. (1984). Rock bolting, theory and application in mining and underground construction. A. A. Balkema, Rotterdam, The Netherlands.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 115 • Issue 1 • January 1989
Pages: 18 - 32
Copyright
Copyright © 1989 ASCE.
History
Published online: Jan 1, 1989
Published in print: Jan 1989
Authors
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.