Dynamic Behaviors of Overconsolidated Clay under Cyclic Confining Pressure
Publication: International Journal of Geomechanics
Volume 22, Issue 11
Abstract
Cyclic triaxial tests are commonly used to evaluate the mechanical characteristics of subgrade soil under cyclic loads. Most cyclic triaxial tests were conducted on normally consolidated clays, however, some of the subgrade soils are overconsolidated clays. Moreover, both confining pressure and deviator stress are cyclically varying in the stress field induced by traffic loading. Recognizing that, the mechanical behaviors of overconsolidated clays under cyclic triaxial tests with cyclic confining pressure, are the main focus of the investigation. The impacts of both cyclic confining pressure and overconsolidation ratio (OCR) were investigated. Results show that as both OCR and cyclic confining pressure are increased, the accumulated axial strain decreases to a greater extent. Furthermore, the minimum excess pore water pressure decreases with an increase of OCR, while maximum excess pore water pressure remains approximately constant when the OCR exceeds 2.0. As the cyclic confining pressure is increased, so are the maximum and minimum excess pore water pressures. The variations in hysteresis loops with cyclic confining pressures are negligible, while the influence of OCR is greater. Nevertheless, as both OCR and cyclic confining pressure increase, the damping ratio decreases. Based on that, the variations in normalized damping ratio versus accumulated axial strain can be represented by an empirical formula. The proposed formula is not only suitable for normally consolidated clays, but also for overconsolidated clays in cyclic triaxial tests with cyclic confining pressure.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 51909259, and 52079135), and the Youth Innovation Promotion Association CAS (Grant No. 2021325).
Notation
The following symbols are used in this paper:
- a, b
- fitting parameters;
- Aloop
- area of the hysteresis loop, reflects the energy dissipated during one cycle (J/m3);
- CCP tests
- cyclic triaxial tests with constant confining pressure;
- CSR
- cyclic stress ratio;
- D1
- damping ratio at cycle 1;
- DN
- damping ratio at cycles N;
- N
- number of cycles;
- OCR
- overconsolidation ratio;
- pampl
- amplitude of the cyclic mean principle total stress (kPa);
- effective consolidated confining pressure (kPa);
- q
- cyclic deviator stress (kPa);
- qampl
- amplitude of the cyclic deviator stress (kPa);
- umax
- maximum excess pore water pressure (kPa);
- umin
- minimum excess pore water pressure (kPa);
- VCP tests
- cyclic triaxial tests with variable confining pressure;
- ɛp
- accumulated axial strain (%);
- ɛr
- resilient axial strain (%);
- η
- inclination of stress path; and
- amplitude of the cyclic confining pressure (kPa).
References
ASTM. 2017. Standard practice for classification of soils for engineering purposes (unified soil classification system). ASTM D2487. West Conshohocken, PA: ASTM.
Cai, Y., C. Gu, J. Wang, C. H. Juang, C. Xu, and X. Hu. 2013. “One-way cyclic triaxial behavior of saturated clay: Comparison between constant and variable confining pressure.” J. Geotech. Geoenviron. Eng. 139 (5): 797–809. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000760.
Chen, C., Z. Zhou, X. Zhang, and G. Xu. 2018. “Behavior of amorphous peaty soil under long-term cyclic loading.” Int. J. Geomech. 18 (9): 04018115. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001254.
Chen, W.-B., W.-Q. Feng, and J.-H. Yin. 2020a. “Effects of water content on resilient modulus of a granular material with high fines content.” Constr. Build. Mater. 236: 117542. https://doi.org/10.1016/j.conbuildmat.2019.117542.
Chen, W.-B., W.-Q. Feng, J.-H. Yin, J.-M. Chen, L. Borana, and R.-P. Chen. 2020b. “New model for predicting permanent strain of granular materials in embankment subjected to low cyclic loadings.” J. Geotech. Geoenviron. Eng. 146 (9): 04020084. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002334.
Fujiwara, H., and S. Ue. 1990. “Effect of preloading on post-construction consolidation settlement of soft clay subjected to repeated loading.” Soils Found. 30 (1): 76–86. https://doi.org/10.3208/sandf1972.30.76.
Fujiwara, H., T. Yamanouchi, K. Yasuhara, and S. Ue. 1985. “Consolidation of alluvial clay under repeated loading.” Soils Found. 25 (3): 19–30. https://doi.org/10.3208/sandf1972.25.3_19.
Gu, C., Z. Gu, Y. Cai, J. Wang, and D. Ling. 2017. “Dynamic modulus characteristics of saturated clays under variable confining pressure.” Can. Geotech. J. 54 (5): 729–735. https://doi.org/10.1139/cgj-2016-0441.
Gu, C., J. Wang, Y. Cai, L. Sun, P. Wang, and Q. Y. Dong. 2016. “Deformation characteristics of overconsolidated clay sheared under constant and variable confining pressure.” Soils Found. 56 (3): 427–439. https://doi.org/10.1016/j.sandf.2016.04.009.
Gu, C., J. Wang, Y. Cai, Z. Yang, and Y. Gao. 2012. “Undrained cyclic triaxial behavior of saturated clays under variable confining pressure.” Soil Dyn. Earthquake Eng. 40: 118–128. https://doi.org/10.1016/j.soildyn.2012.03.011.
Guo, L., J. Wang, Y. Cai, H. Liu, Y. Gao, and H. Sun. 2013. “Undrained deformation behavior of saturated soft clay under long-term cyclic loading.” Soil Dyn. Earthquake Eng. 50: 28–37. https://doi.org/10.1016/j.soildyn.2013.01.029.
Hu, X., Y. Zhang, L. Guo, J. Wang, Y. Cai, H. Fu, and Y. Cai. 2018. “Cyclic behavior of saturated soft clay under stress path with bidirectional shear stresses.” Soil Dyn. Earthquake Eng. 104: 319–328. https://doi.org/10.1016/j.soildyn.2017.10.016.
Huang, J., J. Chen, W. Ke, Y. Zhong, Y. Lu, and S. Yi. 2021. “Damping ratio evolution of saturated Ningbo clays under cyclic confining pressure.” Soil Dyn. Earthquake Eng. 143: 106581. https://doi.org/10.1016/j.soildyn.2021.106581.
Hyodo, M., A. F. L. Hyde, Y. Yamamoto, and T. Fujii. 1999. “Cyclic shear strength of undisturbed and remoulded marine clays.” Soils Found. 39 (2): 45–58. https://doi.org/10.3208/sandf.39.2_45.
Hyodo, M., Y. Yamamoto, and M. Sugiyama. 1994. “Undrained cyclic shear behaviour of normally consolidated clay subjected to initial static shear stress.” Soils Found. 34 (4): 1–11. https://doi.org/10.3208/sandf1972.34.4_1.
Lee, C.-J., and S.-F. Sheu. 2007. “The stiffness degradation and damping ratio evolution of Taipei Silty Clay under cyclic straining.” Soil Dyn. Earthquake Eng. 27: 730–740. https://doi.org/10.1016/j.soildyn.2006.12.008.
Lekarp, F., U. Isacsson, and A. Dawson. 2000. “State of the art. I: Resilient response of unbound aggregates.” J. Transp. Eng. 126 (1): 66–75. https://doi.org/10.1061/(ASCE)0733-947X(2000)126:1(66).
Ling, X., Q. Li, L. Wang, F. Zhang, L. An, and P. Xu. 2013. “Stiffness and damping radio evolution of frozen clays under long-term low-level repeated cyclic loading: Experimental evidence and evolution model.” Cold Reg. Sci. Technol. 86: 45–54. https://doi.org/10.1016/j.coldregions.2012.11.002.
Liu, F. C., S. P. Shang, and H. D. Wang. 2008. “Study of strain accumulation strengthened model for clay under cyclic loadings.” Rock Soil Mech. 29 (9): 2457–2462.
MWR (Ministry of Water Resources). 2019. Standard for geotechnical testing method. GB/T 50123. Beijing: MWR.
Paul, M., R. B. Sahu, and G. Banerjee. 2015. “Undrained pore pressure prediction in clayey soil under cyclic loading.” Int. J. Geomech. 15 (5): 04014082. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000431.
Powrie, W., L. A. Yang, and C. R. I. Clayton. 2007. “Stress changes in the ground below ballasted railway track during train passage.” Proc. Inst. Mech. Eng., Part F: J. Rail Rapid Transit 221 (2): 247–262. https://doi.org/10.1243/0954409JRRT95.
Qian, J.-G., Z.-B. Du, and Z.-Y. Yin. 2018. “Cyclic degradation and non-coaxiality of soft clay subjected to pure rotation of principal stress directions.” Acta Geotech. 13 (4): 943–959. https://doi.org/10.1007/s11440-017-0567-8.
Qian, J., S. Li, J. Zhang, J. Jiang, and Q. Wang. 2019. “Effects of OCR on monotonic and cyclic behavior of reconstituted Shanghai silty clay.” Soil Dyn. Earthquake Eng. 118: 111–119. https://doi.org/10.1016/j.soildyn.2018.12.010.
Qian, J., J. Zhang, Y. Wang, and X. Ma. 2015. “An equivalent finite element method for trafficload-induced settlement of pavement on the soft clay subgrade.” In Proc., 14th Int. Conf. of Int. Association for Computer Methods and Recent Advances in Geomechanics, 1835–1840. London: Taylor & Francis Group.
Rondon, H. A., T. Wichtmann, T. Triantafyllidis, and A. Lizcano. 2009. “Comparison of cyclic triaxial behavior of unbound granular material under constant and variable confining pressure.” J. Transp. Eng. 135 (7): 467–478. https://doi.org/10.1061/(ASCE)TE.1943-5436.0000009.
Sakai, A., L. Samang, and N. Miura. 2003. “Partially-drained cyclic behavior and its application to the settlement of a low embankment road on silty-clay.” Soils Found. 43 (1): 33–46. https://doi.org/10.3208/sandf.43.33.
Simomsen, E., and U. Isacsson. 2001. “Soil behavior during freezing and thawing using variable and constant confining pressure triaxial tests.” Can. Geotech. J. 38: 863–875. https://doi.org/10.1139/t01-007.
Sun, L., Y.-q. Cai, C. Gu, J. Wang, and L. Guo. 2015a. “Cyclic deformation behaviour of natural K0—Consolidated soft clay under different stress paths.” J. Cent. South Univ. 22: 4828–4836. https://doi.org/10.1007/s11771-015-3034-4.
Sun, L., C. Gu, and P. Wang. 2015b. “Effects of cyclic confining pressure on the deformation characteristics of natural soft clay.” Soil Dyn. Earthquake Eng. 78: 99–109. https://doi.org/10.1016/j.soildyn.2015.07.010.
Sun, Q., Q. Y. Dong, Y. Q. Cai, and J. Wang. 2020. “Modeling permanent strains of granular soil under cyclic loading with variable confining pressure.” Acta Geotech. 15: 1409–1421. https://doi.org/10.1007/s11440-019-00868-w.
Tang, Y.-Q., Z.-D. Cui, X. Zhang, and S.-K. Zhao. 2008. “Dynamic response and pore pressure model of the saturated soft clay around the tunnel under vibration loading of Shanghai subway.” Eng. Geol. 98 (3−4): 126–132. https://doi.org/10.1016/j.enggeo.2008.01.014.
Wang, Y., S. Zhang, S. Yin, X. Liu, and X. Zhang. 2020. “Accumulated plastic strain behavior of granite residual soil under cycle loading.” Int. J. Geomech. 20 (11): 04020205. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001850.
Wichtmann, T., A. Niemunis, and T. Triantafyllidis. 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. https://doi.org/10.1016/j.soildyn.2006.05.002.
Xiao, J., C. H. Juang, K. Wei, and S. Xu. 2014. “Effects of principal stress rotation on the cumulative deformation of normally consolidated soft clay under subway traffic loading.” J. Geotech. Geoenviron. Eng. 140 (4): 04013046. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001069.
Xu, Z., L. Pan, C. Gu, J. Wang, and Y. Cai. 2020. “Deformation behavior of anisotropically overconsolidated clay under one-way cyclic loading.” Soil Dyn. Earthquake Eng. 129: 105943. https://doi.org/10.1016/j.soildyn.2019.105943.
Yasuhara, K., S. Murakami, N. Toyota, and A. F. L. Hyde. 2001. “Settlements in fine-grained soils under cyclic loading.” Soils Found. 41 (6): 25–36. https://doi.org/10.3208/sandf.41.6_25.
Yasuhara, K., T. Yamanouchi, and K. Hirao. 1982. “Cyclic strength and deformation of normally consolidated clay.” Soils Found. 22 (3): 77–91. https://doi.org/10.3208/sandf1972.22.3_77.
Information & Authors
Information
Published In
Copyright
© 2022 American Society of Civil Engineers.
History
Received: May 15, 2021
Accepted: Jun 5, 2022
Published online: Aug 26, 2022
Published in print: Nov 1, 2022
Discussion open until: Jan 26, 2023
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.
Cited by
- Per Lindh, Polina Lemenkova, Shear bond and compressive strength of clay stabilised with lime/cement jet grouting and deep mixing: A case of Norvik, Nynäshamn, Nonlinear Engineering, 10.1515/nleng-2022-0269, 11, 1, (693-710), (2022).