Evaluation of Ground Failure Potential Due to Soil–Structure Interaction and Vertically Propagating Shear Waves
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 148, Issue 12
Abstract
Evaluation of ground failure potential in geotechnical practice is typically based on demand parameters that solely consider vertically propagating shear waves in the free-field. Soil–structure interaction (SSI) modifies demands beneath foundations, and observations from recent earthquakes, physical modeling studies, and numerical modeling simulations indicate that SSI contributes significantly to ground failure. We present a methodology that utilizes elastic solutions to define SSI-induced stresses imposed on the soil beneath shallow foundations during earthquake shaking. Input parameters include a free-field ground surface motion as well as static and dynamic base shear, moment, and axial stresses imposed on the soil by a shallow foundation. The resulting stresses in the soil are analyzed in terms of the deviatoric stress invariant and the mean effective stress, which represents the states of stress leading to shear failure more accurately than the traditional use of stresses on horizontal planes. The invariant-based cyclic stress ratio () is introduced to quantify demands, which is equivalent to the conventional CSR in the free-field. The ratio of the corresponding cyclic resistance parameter, , to is the factor of safety against ground failure at a point. Application of this methodology to results of centrifuge modeling of shallow foundations resting on low-plasticity fine-grained soils shows that the factor of safety computed from the proposed methodology at a location in the soil below the edge of the foundation correlates strongly to measured permanent settlements and rotations, whereas the free-field factor of safety underpredicts ground failure potential.
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Data Availability Statement
Experimental data are publicly available in DesignSafe (Rathje et al. 2017) as Buenker et al. (2019) for JZB01 and Buenker et al. (2020) for JZB02. Digital object identifiers for these data sets are available in the “References” section.
Acknowledgments
This material is based on work supported by the National Science Foundation under Award 1563638. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. Construction of each centrifuge model required extensive help and support provided by the CGM staff and others at UC Davis. We gratefully acknowledged their assistance. Special thanks to Mandro Eslami for invaluable contributions during the construction and testing of Model JZB01 and continued support during Model JZB02.
References
Afacan, K. B., S. Yniesta, A. Shafiee, J. P. Stewart, and S. J. Brandenberg. 2019. “Total stress analysis of soft clay ground response in centrifuge models.” J. Geotech. Geoenviron. Eng. 145 (10): 4019061. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002115.
Andersen, K., A. Kleven, and D. Heien. 1988. “Cyclic soil data for design of gravity structures.” J. Geotech. Eng. 114 (5): 517–539. https://doi.org/10.1061/(ASCE)0733-9410(1988)114:5(517).
Ashford, S. A., R. W. Boulanger, J. L. Donahue, and J. P. Stewart. 2011. Geotechnical quick report on the Kanto Plain Region during the March 11, 2011, Off Pacific Coast of Tohoku Earthquake, Japan. Tokyo: Geotechnical Extreme Events Reconnaissance Association.
Boulanger, R. W. 2003a. “High overburden stress effects in liquefaction analyses.” J. Geotech. Geoenviron. Eng. 129 (12): 1071–1082. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:12(1071).
Boulanger, R. W. 2003b. “Relating Kα to relative state parameter index.” J. Geotech. Geoenviron. Eng. 129 (8): 770–773. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:8(770).
Boulanger, R. W., and I. M. Idriss. 2007. “Evaluation of cyclic softening in silts and clays.” J. Geotech. Geoenviron. Eng. 133 (6): 641–652. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:6(641).
Boussinesq, M. J. 1885. Application des potentiels à l’étude de l’équilibre et du mouvement des solides élastiques: Principalement au calcul des déformations et des pressions que produisent, dans ces solides, des efforts quelconques exercés sur une petite partie de leur surface ou de leur intérieur: Mémoire suivi de notes étendues sur divers points de physique, mathematique et d’analyse. Paris: Gauthier-Villars.
Brandenberg, S. J. 2017. “iConsol. js: JavaScript implicit finite-difference code for nonlinear consolidation and secondary compression.” Int. J. Geomech. 17 (6): 4016149. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000843.
Bray, J. D., and R. B. Sancio. 2006. “Assessment of the liquefaction susceptibility of fine-grained soils.” J. Geotech. Geoenviron. Eng. 132 (9): 1165–1177. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:9(1165).
Bray, J. D., and J. P. Stewart. 2000. “Chap. 8 of “Damage patterns and foundation performance in Adapazari.” In Kocaeli, Turkey earthquake of August 17, 1999 reconnaissance report, edited by T. L. Youd, J. P. Bardet, and J. D. Bray, 163–189. Oakland, CA: Earthquake Engineering Research Institute.
Buenker, J. M. 2020. “Soil-foundation-structure interaction effects on the cyclic failure potential of silts and clays.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of California.
Buenker, J. M., S. J. Brandenberg, M. Eslami, D. Abundis, T. Buckreis, and J. P. Stewart. 2019. “Centrifuge testing on bentonite clay—Test UCLA JZB01.” In Soil-foundation-structure interaction effects on the cyclic failure potential of silts and clays. Alexandria, VA: National Science Foundation. https://doi.org/10.17603/ds2-e7s5-b025.
Buenker, J. M., S. J. Brandenberg, and J. P. Stewart. 2020. “Centrifuge testing on kaolinite clay—Test UCLA JZB02.” In Soil-foundation-structure interaction effects on the cyclic failure potential of silts and clays. Alexandria, VA: National Science Foundation. https://doi.org/10.17603/ds2-jpwh-nq72.
Buenker, J. M., S. J. Brandenberg, and J. P. Stewart. 2021. “Centrifuge testing of soil-structure interaction effects on cyclic failure potential of fine-grained soil.” Earthquake Spectra 37 (2): 1177–1198. https://doi.org/10.1177/8755293020981978.
Bullock, Z., Z. Karmimi, S. Dashti, K. Porter, A. B. Liel, and K. W. Franke. 2019. “A physics-informed semi-empirical probabilistic model for the settlement of shallow-founded structures on liquefied ground.” Gèotechnique 69 (5): 406–419. https://doi.org/10.1680/jgeot.17.P.174.
Cerruti, V. 1882. Ricerche intorno all’equilibrio dei corpi elastici isotropi. Rome: Reale Accademia dei Lincei.
Chu, D. B., J. P. Stewart, R. W. Boulanger, and P. S. Lin. 2008. “Cyclic softening of low-plasticity clay and its effect on seismic foundation performance.” J. Geotech. Geoenviron. Eng. 134 (11): 1595–1608. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:11(1595).
Cubrinovski, M., et al. 2011. “Geotechnical aspects of the 22 February 2011 Christchurch earthquake.” Bull. N. Z. Soc. Earthquake Eng. 44 (4): 205–226. https://doi.org/10.5459/bnzsee.44.4.205-226.
Dashti, S., J. D. Bray, J. M. Pestana, M. Riemer, and D. Wilson. 2010. “Mechanisms of seismically induced settlement of buildings with shallow foundations on liquefiable soil.” J. Geotech. Geoenviron. Eng. 136 (1): 151–164. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000179.
da Silva Marques, A. S. P., P. A. L. de Figueiredo Coelho, S. Haigh, and G. Madabhushi. 2014. “Centrifuge modeling of liquefaction effects on shallow foundations.” In Seismic evaluation and rehabilitation of structures—Geotechnical, geological, and earthquake engineering, edited by A. Ilki and M. Fardis, 425–440. Cham, Switzerland: Springer.
Eslami, M. 2017. “Experimental mapping of eslatoplastic surfaces for sand and cyclic failure of low-plasticity fine-grained soils.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of California.
Flamant, A. 1892. Sur la repartition des pressions dans un solide rectangulaire charge transver-salement. Paris: Comptes Rendus.
Goulois, A. M., R. V. Whitman, and K. Hoeg. 1985. “Effects of sustained shear stresses on the cyclic degradation of clay.” In Strength testing of marine sediments: Laboratory and in situ strength measurements, edited by R. C. Chaney and K. R. Demars, 336–351. Philadelphia: ASTM.
Hayden, C. P., J. D. Zupan, J. D. Bray, J. D. Allmond, and B. L. Kutter. 2015. “Centrifuge tests of adjacent mat-supported buildings affected by liquefaction.” J. Geotech. Geoenviron. Eng. 141 (3): 04014118. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001253.
Heidarzadeh, B., G. Mylonakis, and J. P. Stewart. 2015. “Stresses beneath dynamically applied vertical point loads.” In Proc., 6th Int. Conf. on Earthquake Geotechnical Engineering. Christchurch, NZ: International Society for Soil Mechanics and Geotechnical Engineering.
Heidarzadeh, B., J. P. Stewart, and G. Mylonakis. 2018. “Dynamic stresses in foundation soils beneath strip footings.” In Proc., Geotechnical Earthquake Engineering and Soil Dynamics V, edited by S. J. Brandenberg and M. T. Manzari, 351–360. Reston, VA: ASCE.
Jurgenson, L. 1934. “The application of theories of elasticity and plasticity to foundation problems.” J. Boston Soc. Civ. Eng. 21 (3): 206–241.
Ladd, C. C. 1991. “Stability evaluation during staged construction.” J. Geotech. Eng. 117 (4): 540–615. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:4(540).
Lefebvre, G., and P. Pfendler. 1996. “Strain rate and preshear effects in cyclic resistance of soft clay.” J. Geotech. Eng. 122 (1): 21–26. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:1(21).
Macedo, J., and J. D. Bray. 2018. “Key trends in liquefaction-induced building settlement.” J. Geotech. Geoenviron. Eng. 144 (11): 04018076. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001951.
Malhotra, P. K. 2002. “Cyclic-demand spectrum.” Earthquake Eng. Struct. Dyn. 31 (7): 1441–1457. https://doi.org/10.1002/eqe.171.
Matlock, H. 1970. “Correlations for design of laterally loaded piles in soft clay.” In Proc., 2nd Offshore Technology Conf., 577–594. Houston: Offshore Technology Conference. https://doi.org/10.4043/1204-ms.
Montgomery, J., R. W. Boulanger, and L. F. Harder Jr. 2014. “Examination of the K overburden correction factor on liquefaction resistance.” J. Geotech. Geoenviron. Eng. 140 (12): 04014066. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001172.
NIST. 2012. Soil structure interaction for building structures. Gaithersburg, MD: NIST.
Pais, A., and E. Kausel. 1988. “Approximate formulas for dynamic stiffnesses of rigid foundations.” Soil Dyn. Earthquake Eng. 7 (4): 213–227. https://doi.org/10.1016/S0267-7261(88)80005-8.
Rathje, E. M., et al. 2017. “DesignSafe: New cyberinfrastructure for natural hazards engineering.” Nat. Hazard. Rev. 18 (3): 06017001. https://doi.org/10.1061/(ASCE)NH.1527-6996.0000246.
Rollins, K. M., and H. B. Seed. 1990. “Influence of buildings on potential liquefaction damage.” J. Geotech. Geoenviron. Eng. 116 (2): 165–185. https://doi.org/10.1061/(ASCE)0733-9410(1990)116:2(165).
Saint-Venant, A. J. C. B. 1855. “Memoire sur la Torsion des Prismes.” Mem. Divers Savants 14 (233): 560.
Scott, R. F. 1963. Principles of soil mechanics. Reading, MA: Addison-Wesley.
Seed, H. B., and I. M. Idriss. 1971. “Simplified procedure for evaluating soil liquefaction potential.” J. Soil Mech. Found. Div. 97 (9): 1249–1273. https://doi.org/10.1061/JSFEAQ.0001662.
Sheahan, T. C., C. C. Ladd, and J. T. Germaine. 1996. “Rate-dependent undrained shear behavior of saturated clay.” J. Geotech. Geoenviron. Eng. 122 (2): 99–108. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:2(99).
Youd, L. T., et al. 2001. “Liquefaction resistance of soils: Summary report from the 1996 NCEER and 1998 NCEER/NSF workshops on evaluation of liquefaction resistance of soils.” J. Geotech. Geoenviron. Eng. 127 (10): 817–833. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:10(817).
Zupan, J. D., N. W. Trombetta, H. Puangnak, D. Paez, J. D. Bray, B. L. Kutter, T. C. Hutchinson, G. L. Fiegel, C. Bolisetti, and A. S. Whittaker. 2013. “Soil-structure interaction on the scale of a city block—Seismic performance in dense urban environments.” In Centrifuge data report test-5. Davis, CA: Univ. of California.
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Received: Aug 25, 2021
Accepted: May 26, 2022
Published online: Oct 12, 2022
Published in print: Dec 1, 2022
Discussion open until: Mar 12, 2023
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