Technical Papers
Dec 2, 2013

Long-Term Foundation Response to Repetitive Loading

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 140, Issue 4

Abstract

Repetitive loading can induce volumetric and shear strain accumulation in soils and affect the long-term performance of engineered and natural geosystems. A hybrid numerical scheme based on the FEM is implemented to analyze problems where a very large number of cycles is involved. The numerical approach combines a classical mechanical constitutive model to simulate the static load and the first load cycle and empirical accumulation functions to track the accumulation of deformations during repetitive loading. The hybrid model captures fundamental characteristics of soil behavior under repetitive loading, such as threshold strains, terminal density, and ratcheting response; it also predicts volumetric and shear strains as a function of the static stress obliquity, the number of load cycles, and the plastic strain during the first load cycle. The proposed numerical scheme is used to analyze shallow foundations subjected to repetitive loads. Results show the evolution of vertical settlement, horizontal displacement, footing rotation, and stress redistribution within the soil mass as the number of load cycles increases. Displacements and rotation are more pronounced as the static factor of safety decreases and the cyclic load amplitude increases.

Get full access to this article

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

Acknowledgments

Support for this research was provided by the Fulbright U.S.-Chile Equal Opportunities Scholarship Program, the U.S. Department of Energy, and the Goizueta Foundation. Francisco Santamarina edited the manuscript.

References

ABAQUS 6.10 [Computer software]. Providence, RI, Dassault Systèmes Simulia.
Albrecht, B. A., and Benson, C. H. (2001). “Effect of desiccation on compacted natural clays.” J. Geotech. Geoenviron. Eng., 67–75.
Alonso-Marroquin, F., and Herrmann, H. J. (2004). “Ratcheting of granular materials.” Phys. Rev. Lett., 92(5), 054301.
Barksdale, R. D. (1972). “Laboratory evaluation of rutting in basecourse materials.” Proc., 3rd Int. Conf. on Structural Design of Asphalt Pavements, International Society for Asphalt Pavements, Lino Lakes, MN, 161–174.
Bouckovalas, G., Whitman, R. V., and Marr, W. A. (1984). “Permanent displacement of sand with cyclic loading.” J. Geotech. Engrg., 1606–1623.
Brown, S. F. (1974). “Repeated load testing of a granular material.” J. Geotech. Engrg. Div., 100(7), 825–841.
Byrne, B. W., and Houlsby, G. T. (2006). “Assessing novel foundation options for offshore wind turbines.” Proc., World Maritime Technology Conf., International Council on Combustion Engines, Frankfurt, Germany, 〈http://www.lonestarbit.com/mining/Offshore_wind_foundation.pdf〉.
Campanella, R. G., and Mitchell, J. K. (1968). “Influence of temperature variations on soil behavior.” J. Soil Mech. and Found. Div., 94(3), 709–734.
Chang, C. S., and Whitman, R. V. (1988). “Drained permanent deformation of sand due to cyclic loading.” J. Geotech. Engrg., 1164–1180.
Dafalias, Y. F., and Herrmann, L. R. (1986). “Bounding surface plasticity. II: Application to isotropic cohesive soils.” J. Eng. Mech., 1263–1291.
Diyaljee, V. A., and Raymond, G. P. (1982). “Repetitive load deformation of cohesionless soil.” J. Geotech. Engrg. Div., 108(10), 1215–1229.
Dobry, R., and Swiger, W. F. (1979). “Threshold strain and cyclic behavior of cohesionless soils.” Proc., 3rd ASCE/EMDE Specialty Conf., ASCE, Reston, VA, 521-525.
François, S., Karg, C., Haegeman, W., and Degrande, G. (2010). “A numerical model for foundation settlements due to deformation accumulation in granular soils under repeated small amplitude dynamic loading.” Int. J. Numer. Anal. Methods Geomech., 34(3), 273–296.
Gajo, A., and Muir Wood, D. (1999). “Severn-Trent sand: A kinematic-hardening constitutive model: The q-p formulation.” Geotechnique, 49(5), 595–614.
Garcia-Rojo, R., and Herrmann, H. J. (2005). “Shakedown of unbound granular material.” Granul. Matter, 7(2–3), 109–118.
Gidel, G., Hornych, P., Chauvin, J. J., Breysse, D., and Denis, A. (2001). “A new approach for investigating the permanent deformation behaviour of unbound granular material using the repeated load triaxial apparatus.” Bulletin of the Laboratory of Bridges and Roads, 233(4), 5–21.
Kaggwa, W. S., Booker, J. R., and Carter, J. P. (1991). “Residual strains in calcareous sand due to irregular cyclic loading.” J. Geotech. Engrg., 201–218.
Lackenby, J. (2006). “Triaxial behaviour of the ballast and the role of confining pressure under cyclic loading.” Ph.D. thesis, Univ. of Wollongong, Wollongong, NSW, Australia.
Lekarp, F., and Dawson, A. (1998). “Modelling permanent deformation behaviour of unbound granular materials.” Construct. Build. Mater., 12(1), 9–18.
Lentz, R. W., and Baladi, G. Y. (1980). “Simplified procedure to characterize permanent strain in sand subjected to cyclic loading.” Proc., Int. Symp. on Soils under Cyclic and Transient Loading, Balkema, Rotterdam, Netherlands, 89–95.
Lentz, R. W., and Baladi, G. Y. (1981). “Constitutive equation for permanent strain of sand subjected to cyclic loading.” Transp. Res. Rec., 810, 50–54.
Marr, W. A., and Christian, J. T. (1981). “Permanent displacements due to cyclic wave loading.” J. Geotech. Engrg. Div., 107(8), 1129–1149.
Mróz, Z. (1967). “On the description of anisotropic workhardening.” J. Mech. Phys. Solids, 15(3), 163–175.
Muir Wood, D. (1990). Soil behaviour and critical state soil mechanics, Cambridge University Press, Cambridge, U.K.
Musso, G., Romero Morales, E., Gens, A., and Castellanos, E. (2003). “The role of structure in the chemically induced deformations of FEBEX bentonite.” Appl. Clay Sci., 23(1–4), 229–237.
Narsilio, G. A., and Santamarina, J. C. (2008). “Terminal densities.” Geotechnique, 58(8), 669–674.
Niemunis, A., Wichtmann, T., and Triantafyllidis, T. (2004). “Explicit accumulation model for cyclic loading.” Proc., Int. Conf. on Cyclic Behaviour of Soils and Liquefaction Phenomena, Taylor & Francis, London, 65–76.
Niemunis, A., Wichtmann, T., and Triantafyllidis, T. (2005). “A high-cycle accumulation model for sand.” Comput. Geotech., 32(4), 245–263.
Qi, J., Vermeer, P. A., and Cheng, G. (2006). “A review of the influence of freeze-thaw cycles on soil geotechnical properties.” Permafrost Periglacial Processes, 17(3), 245–252.
Rondón, H. A., Wichtmann, T., Triantafyllidis, T., and Lizcano, A. (2009). “Comparison of cyclic triaxial behavior of unbound granular material under constant and variable confining pressure.” J. Transp. Eng., 467–478.
Santamarina, J. C., Klein, K. A., and Fam, M. A. (2001). Soils and Waves, Wiley, New York.
Sawicki, A., and Swidzinski, W. (1989). “Mechanics of a sandy subsoil subjected to cyclic loadings.” Int. J. Numer. Anal. Methods Geomech., 13(5), 511–529.
Sawicki, A., and Swidzinski, W. (1995). “Cyclic compaction of soils, grains and powders.” Powder Technol., 85(2), 97–104.
Suiker, A. S. J., and de Borst, R. (2003). “A numerical model for the cyclic deterioration of railway tracks.” Int. J. Numer. Methods Eng., 57(4), 441–470.
Suiker, A. S. J., Selig, E. T., and Frenkel, R. (2005). “Static and cyclic triaxial testing of ballast and subballast.” J. Geotech. Geoenviron. Eng., 771–782.
Sweere, G. T. H. (1990). “Unbound granular bases for roads.” Ph.D. thesis, Delft Univ. of Technology, Delft, Netherlands.
Towhata, I., Kuntiwattanaku, P., Seko, I., and Ohishi, K. (1993). “Volume change of clays induced by heating as observed in consolidation tests.” Soils Found., 33(4), 170–183.
Tripathy, S., and Subba Rao, K. S. (2009). “Cyclic swell-shrink behaviour of a compacted expansive soil.” Geotech. Geol. Eng., 27(1), 89–103.
Tseng, K.-H., and Lytton, R. L. (1989). “Prediction of permanent deformation in flexible pavement materials.” Implication of Aggregates in the Design, Construction, and Performance of Flexible Pavements, STP 1016, ASTM, West Conshohocken, PA, 154–154.
Vucetic, M., and Dobry, R. (1991). “Effect of soil plasticity on cyclic response.” J. Geotech. Engrg., 89–107.
Wichtmann, T. (2005). “Explicit accumulation model for non-cohesive soils under cyclic loading.” Ph.D. thesis, Ruhr Univ. Bochum, Bochum, Germany.
Wichtmann, T., Niemunis, A., and Triantafyllidis, T. (2006). “Experimental evidence of a unique flow rule of non-cohesive soils under high-cyclic loading.” Acta Geotech., 1(1), 59–73.
Wichtmann, T., Niemunis, A., and Triantafyllidis, T. (2007). “On the influence of the polarization and the shape of the strain loop on strain accumulation in sand under high-cyclic loading.” Soil. Dyn. Earthquake Eng., 27(1), 14–28.
Wichtmann, T., Niemunis, A., and Triantafyllidis, T. (2010a). “Strain accumulation in sand due to drained cyclic loading: On the effect of monotonic and cyclic preloading (Miner’s rule).” Soil. Dyn. Earthquake Eng., 30(8), 736–745.
Wichtmann, T., Rondon, H. A., Niemunis, A., Triantafyllidis, T., and Lizcano, A. (2010b). “Prediction of permanent deformations in pavements using a high-cycle accumulation model.” J. Geotech. Geoenviron. Eng., 728–740.
Yamada, Y., and Ishihara, K. (1982). “Yielding of loose sand in three-dimensional stress conditions.” Soils Found., 22(3), 15–31.
Youd, T. L. (1972). “Compaction of sands by repeated shear straining.” J. Soil Mech. and Found. Div., 98(7), 709–725.
Zhang, H. W., Heeres, O. M., Borst, R. d., and Schrefler, B. A. (2001). “Implicit integration of a generalized plasticity constitutive model for partially saturated soil.” Eng. Computat., 18(1/2), 314–336.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 140Issue 4April 2014

History

Received: Feb 19, 2013
Accepted: Oct 7, 2013
Published online: Dec 2, 2013
Published in print: Apr 1, 2014
Discussion open until: May 2, 2014

Permissions

Request permissions for this article.

Authors

Affiliations

Cesar Pasten, A.M.ASCE [email protected]
Assistant Professor, Dept. of Civil Engineering, Univ. of Chile, Santiago, 8370449, Chile (corresponding author). E-mail: [email protected]
Hosung Shin [email protected]
Assistant Professor, School of Civil and Environmental Engineering, Univ. of Ulsan, Ulsan 680-749, Republic of Korea. E-mail: [email protected]
J. Carlos Santamarina [email protected]
Professor, School of Civil and Environmental Engineering, Georgia Inst. of Technology, Atlanta, GA 30332. E-mail: [email protected]

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