Displacements of Multiblock Geotechnical Structures Subjected to Seismic Excitation
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 133, Issue 11
Abstract
A method is presented for calculations of irreversible displacements of multiblock structures subjected to seismic excitation. Use is made of the kinematic approach of limit analysis. To make the analysis tractable a hodograph representing distribution of accelerations in the structure is introduced. Distinction is made between soils conforming to the associative and nonassociative flow rules, and the importance of this distinction is demonstrated. The yield acceleration calculated for slopes comprised of soils conforming to the nonassociative flow rule is lower than that for a soil with the same strength parameters, but its deformation governed by the associative flow rule. Consequently, the displacements predicted for the former are larger. An example of a slope is demonstrated, but the method presented is applicable to other structures, such as retaining walls and embankments.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This material is based upon work supported by the National Science Foundation under Grant No. NSFCMMI-0724022. This support is greatly appreciated.
References
Chang, C.-J., Chen, W. F., and Yao, J. P. (1984). “Seismic displacements in slopes by limit analysis.” J. Geotech. Engrg., 110(7), 860–874.
Chen, W. F. (1975). Soil plasticity and limit analysis, Elsevier, Rotterdam, The Netherlands.
Davis, E. H. (1968). “Theories of plasticity and the failure of soil masses.” Soil mechanics: Selected topics, I. K. Lee, ed., Butterworth, London, 341–380.
Drescher, A., and Detournay, E. (1993). “Limit load in translational failure mechanisms for associative and nonassociative materials.” Geotechnique, 43(3), 443–456.
Drucker, D. C., Prager, W., and Greenberg, H. J. (1952). “Extended limit design theorems for continuous media.” Q. Appl. Math., 9, 381–389.
Goodman, R. E., and Seed, H. B. (1966). “Earthquake-induced displacements in sand embankments.” J. Soil Mech. and Found. Div., 92(2), 125–146.
Green, R. A., and Michalowski, R. L. (2006). “Shear band formation behind retaining structures subjected to seismic excitation.” Foundations of Civil and Environ. Eng., 7, 157–169.
Michalowski, R., and Mróz, Z. (1978). “Associated and nonassociated sliding rules in contact friction problems.” Arch. Mech. Stosow., 30(3), 259–276.
Michalowski, R. L. (1989). “Three-dimensional analysis of locally loaded slopes.” Geotechnique, 39(1), 27–38.
Michalowski, R. L. (1998). “Soil reinforcement for seismic design of geotechnical structures.” Comput. Geotech., 23(1–2), 1–17.
Michalowski, R. L., and Shi, L. (1995). “Bearing capacity of footings over two-layer foundation soils.” J. Geotech. Engrg., 121(5), 421–428.
Michalowski, R. L., and You, L. (2000). “Displacements of reinforced slopes subjected to seismic loads.” J. Geotech. Eng., 126(8), 685–694.
Newmark, N. M. (1965). “Effects of earthquakes on dams and embankments.” Geotechnique, 15, 139–160.
Radenkovic, D. (1962). “Théorie des charges limites extension a la mécanique des sols.” Proc., Séminaire de Plasticité, École Polytechnique, Paris, France, 1961, 129–141.
Seed, H. B., and Goodman, R. E. (1964). “Earthquake stability of slopes of cohesionless soils.” J. Soil Mech. and Found. Div., 90(6), 43–73.
Siddharthan, R. V., Ganeshwara, V., Kutter, B. L., El-Desouky, M., and Whitman, R. V. (2004). “Seismic deformation of bar mat mechanically stabilized earth walls. II: A multiblock model.” J. Geotech. Engrg., 130(1), 26–35.
You, L., and Michalowski, R. L. (1999). “Displacement charts for slopes subjected to seismic loads.” Comput. Geotech., 25(1), 45–55.
Information & Authors
Information
Published In
Copyright
© 2007 ASCE.
History
Received: May 16, 2006
Accepted: Feb 6, 2007
Published online: Nov 1, 2007
Published in print: Nov 2007
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.