Residual Strains in Calcareous Sand due to Irregular Cyclic Loading
Publication: Journal of Geotechnical Engineering
Volume 117, Issue 2
Abstract
This paper describes a procedure for predicting the residual strains developed in calcareous sand under irregular cyclic triaxial loading conditions. The rates of accumulation of volumetric and shear strains are treated separately, with the volumetric strain response being used as the basis for characterizing the effects of cyclic loading. The residual volumetric strain developed as a result of repeated loading is related to the mean and the amplitude of the cyclic deviator stress. Thus, by using empirical correlations between the applied deviator stresses, the number of cycles, and the measured residual strains, the effect of cyclic loading under one set of cyclic loading conditions can be expressed in terms of an equivalent number of cycles under a different set of cyclic loading conditions. By using this equivalent number of cycles for the cyclic loading stresses, the residual strains developed as a result of further loading are then determined, so that the residual strains developed at any stage during irregular cyclic loading can be evaluated.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bjerrum, L. (1973). “Geotechnical problems involved in foundations of structures in the North Sea.” Geotechnique, London, England, 23(3), 319–358.
2.
Bouckolvalas, G., Whitman, R. V., and Marr, W. A. (1984). “Permanent displacement of sand with cyclic loading.” J. Geotech. Engrg., ASCE, 110(11), 1906–1623.
3.
Carter, J. P., Booker, J. R., and Wroth, C. P. (1982). “A critical state soil model for cyclic loading.” Soil mechanics—Transient and cyclic loads, G. N. Pande and O. C. Zienkiewicz, eds., John Wiley and Sons, New York, N.Y.
4.
Chang, C. S., and Whitman, R. V. (1988). “Drained permanent deformation of sand due to cyclic loading.” J. Geotech. Engrg., ASCE, 114(10), 1164–1180.
5.
Hedberg, J. (1977). “Cyclic stress strain behavior of sand in offshore environment,” thesis presented to the Massachusetts Institute of Technology, at Cambridge, Mass., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
6.
Kaggwa, W. S. (1988). “Cyclic behaviour of carbonate sediments,” thesis presented to the University of Sydney, at Sydney, Australia, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
7.
Kaggwa, W. S., and Booker, J. R. (1990). “Analysis of cyclic behaviour of calcareous sand.” Research Report No. 612, School of Civ. and Mining Engrg., Univ. of Sydney, Sydney, Australia.
8.
Lee, K. L., and Chan, K. (1972). “Number of equivalent significant cycles in strong motion earthquakes.” Proc. 3rd Int. Conf. on Micro‐zonation, Seattle, Wash., Vol. 2, 609–627.
9.
Marr, W. A., Urzua, A., and Bouckovalas, G. (1982). “A numerical model to predict permanent displacement from cyclic loading of foundations.” Proc. 3rd BOSS Conference, Cambridge, Mass., Vol. 1, 297–312.
10.
Martin, G. R., Finn, W. D. L., and Seed, H. B. (1975). “Fundamentals of liquefaction under cyclic loading.” J. of Geotech. Engrg. Div., ASCE, 101(5), 423–438.
11.
Miner, A. M. (1945). “Cumulative damage in fatigue.” Trans. of the American Soc. of Mech. Engrg., 67, A159‐A164.
12.
Mroz, Z., and Norris, V. A. (1982). “Elastoplastic and viscoplastic constitutive models for soils with application to cyclic loading.” Soil mechanics—Transient and cyclic loads, G. N. Pande, and O. C. Zienkiewicz, eds., John Wiley and Sons, New York, N.Y.
13.
Seed, H. B., Idriss, I. M., Makdisi, F., and Banerjee, N. (1975). “Representation of irregular stress time histories by equivalent uniform stress series in liquefaction analyses.” Report No. EERC 75‐29, Univ. of California, Berkeley, Calif.
14.
Timmerman, D. H., and Wu, T. H. (1969). “Behavior of dry sands under cyclic loading.” J. Soil Mech. and Found. Engrg. Div., ASCE, 95(4), 1097–1112.
15.
Urzua, A. (1980). “Analysis of permanent displacements from cyclic loading of foundations,” thesis presented to the Massachusetts Institute of Technology, at Cambridge, Mass., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Information & Authors
Information
Published In
Journal of Geotechnical Engineering
Volume 117 • Issue 2 • February 1991
Pages: 201 - 218
Copyright
Copyright © 1991 ASCE.
History
Published online: Feb 1, 1991
Published in print: Feb 1, 1991
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.