Technical Papers
Apr 3, 2024

Uncertainty Quantification of Soil–Structure Interface Properties with an Enhanced Hypoplastic Interface Model

Publication: International Journal of Geomechanics
Volume 24, Issue 6

Abstract

Numerous studies have been carried out to characterize uncertainties of soil properties, and lots of multivariate databases have been compiled to make the characterization of uncertainties more realistic. However, when it comes to complex situations, that is, for complex critical state constitutive models and soil–structure interface properties, the uncertainty quantification becomes a challenge. This paper aims to quantify the uncertainties of the soil–structure interface properties from laboratory tests. A framework of uncertainty quantification based on a simplified two-dimensional Monte Carlo simulation is first proposed. To validate the performance of the framework, an enhanced hypoplastic interface model considering particle breakage is then proposed and employed in the uncertainty quantification framework. The CMA-ES algorithm is then used to calibrate the uncertainties based on the framework and the hypoplastic soil–structure interface model. The results showed the proposed framework with the enhanced model can capture the uncertainties of the soil–structure interface properties. In the studied experiments, 30 out of 42 experimental curves were found to be well calibrated based on the Kolmogorov–Smirnov normality test. Furthermore, to obtain acceptable results, based on the calibration-validation process, the effect of the selection of experiments on the calibration performance is discussed. Some suggestions on how to choose experiments to calibrate the soil–structure interface properties are summarized, which should be helpful in practice.

Get full access to this article

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

Acknowledgments

This research was financially supported by the Research Grants Council (RGC) of Hong Kong Special Administrative Region Government (HKSARG) of China (Grant No. 15217220, N_PolyU534/20).

References

Arnold, M., and I. Herle. 2006. “Hypoplastic description of the frictional behaviour of contacts.” In Numerical methods in geotechnical engineering, 101–106. London: Taylor & Francis Group.
Brumund, W. F., and G. A. Leonards. 1973. “Experimental study of static and dynamic friction between sand and typical construction materials.” J. Test. Eval. 1 (2): 162–165. https://doi.org/10.1520/JTE10893J.
Carbonari, S., M. Morici, F. Dezi, and G. Leoni. 2018. “A lumped parameter model for time-domain inertial soil–structure interaction analysis of structures on pile foundations.” Earthquake Eng. Struct. Dyn. 47 (11): 2147–2171. https://doi.org/10.1002/eqe.v47.11.
Ching, J., and K.-K. Phoon. 2014. “Transformations and correlations among some clay parameters – the global database.” Can. Geotech. J. 51 (6): 663–685. https://doi.org/10.1139/cgj-2013-0262.
Chung, Y., I. Char, H. Guo, J. Schneider, and W. Neiswanger. 2021. “Uncertainty toolbox: an open-source library for assessing, visualizing, and improving uncertainty quantification.” Preprint, Accessed May 21, 2023. http://arxiv.org/abs/2109.10254.
DeJong, J. T., and Z. J. Westgate. 2009. “Role of initial state, material properties, and confinement condition on local and global soil–structure interface behavior.” J. Geotech. Geoenviron. Eng. 135 (11): 1646–1660. https://doi.org/10.1061/(ASCE)1090-0241(2009)135:11(1646).
Desai, C. S., and Y. Z. Ma. 1992. “Modeling of joints and interfaces using the disturbed-state concept.” Int. J. Numer. Anal. Methods Geomech. 16 (9): 623–653. https://doi.org/10.1002/nag.v16:9.
Desai, C. S., S. K. Pradhan, and D. Cohen. 2005. “Cyclic testing and constitutive modeling of saturated sand–concrete interfaces using the disturbed state concept.” Int. J. Geomech. 5 (4): 286–294. https://doi.org/10.1061/(ASCE)1532-3641(2005)5:4(286).
D’Ignazio, M., K.-K. Phoon, S. A. Tan, and T. T. Länsivaara. 2016. “Correlations for undrained shear strength of finnish soft clays.” Can. Geotech. J. 53 (10): 1628–1645. https://doi.org/10.1139/cgj-2016-0037.
Einav, I. 2007. “Breakage mechanics–Part I: Theory.” J. Mech. Phys. Solids 55 (6): 1274–1297. https://doi.org/10.1016/j.jmps.2006.11.003.
Fakharian, K., and E. Evgin. 2000. “Elasto-plastic modelling of stress-path-dependent behaviour of interfaces.” Int. J. Numer. Anal. Methods Geomech. 24 (2): 183–199. https://doi.org/10.1002/(ISSN)1096-9853.
Fender, J., F. Duddeck, and M. Zimmermann. 2014. “On the calibration of simplified vehicle crash models.” Struct. Multidiscip. Optim. 49 (3): 455–469. https://doi.org/10.1007/s00158-013-0977-7.
Frost, J. D., J. T. DeJong, and M. Recalde. 2002. “Shear failure behavior of granular-continuum interfaces.” Eng. Fract. Mech. 69 (17): 2029–2048. https://doi.org/10.1016/S0013-7944(02)00075-9.
Gneiting, T., F. Balabdaoui, and A. E. Raftery. 2007. “Probabilistic forecasts, calibration and sharpness.” J. R. Stat. Soc. B 69 (2): 243–268. https://doi.org/10.1111/j.1467-9868.2007.00587.x.
Hansen, N. 2016. “The CMA evolution strategy: A tutorial.” Preprint, Accessed May 15, 2023. http://arxiv.org/abs/1604.00772.
Hansen, N. 2023. “CMA-ES/pycma: r3.3.0.” Accessed January 26, 2023. https://doi.org/10.5281/zenodo.7573532.
Hansen, N., and A. Ostermeier. 1996. “Adapting arbitrary normal mutation distributions in evolution strategies: The covariance matrix adaptation.” In Proc., IEEE Int. Conf. on Evolutionary Computation, 312–317. Piscataway, NJ: IEEE Press.
Higdon, D., C. Nakhleh, J. Gattiker, and B. Williams. 2008. “A Bayesian calibration approach to the thermal problem.” Comput. Methods Appl. Mech. Eng. 197 (29–32): 2431–2441. https://doi.org/10.1016/j.cma.2007.05.031.
Hofer, E., M. Kloos, B. Krzykacz-Hausmann, J. Peschke, and M. Woltereck. 2002. “An approximate epistemic uncertainty analysis approach in the presence of epistemic and aleatory uncertainties.” Reliab. Eng. Syst. Saf. 77 (3): 229–238. https://doi.org/10.1016/S0951-8320(02)00056-X.
Hu, L. M., and J. L. Pu. 2003. “Application of damage model for soil–structure interface.” Comput. Geotech. 30 (2): 165–183. https://doi.org/10.1016/S0266-352X(02)00059-9.
Hu, L. M., and J. L. Pu. 2004. “Testing and modeling of soil–structure interface.” J. Geotech. Geoenviron. Eng. 130 (8): 851–860. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:8(851).
Hu, W., Z. Yin, C. Dano, and P.-Y. Hicher. 2011. “A constitutive model for granular materials considering grain breakage.” Sci. China Technol. Sci. 54 (8): 2188–2196. https://doi.org/10.1007/s11431-011-4491-0.
Jin, Y.-F., Z.-Y. Yin, Z.-X. Wu, and A. Daouadji. 2018a. “Numerical modeling of pile penetration in silica sands considering the effect of grain breakage.” Finite Elem. Anal. Des. 144: 15–29. https://doi.org/10.1016/j.finel.2018.02.003.
Jin, Y.-F., Z.-Y. Yin, Z.-X. Wu, and W.-H. Zhou. 2018b. “Identifying parameters of easily crushable sand and application to offshore pile driving.” Ocean Eng. 154: 416–429. https://doi.org/10.1016/j.oceaneng.2018.01.023.
Jung, B. C., H. Yoon, H. Oh, G. Lee, M. Yoo, B. D. Youn, and Y. C. Huh. 2016. “Hierarchical model calibration for designing piezoelectric energy harvester in the presence of variability in material properties and geometry.” Struct. Multidiscip. Optim. 53 (1): 161–173. https://doi.org/10.1007/s00158-015-1310-4.
Kennedy, M. C., and A. O’Hagan. 2001. “Bayesian calibration of computer models.” J. R. Stat. Soc. B 63 (3): 425–464. https://doi.org/10.1111/1467-9868.00294.
Kishida, H., and M. Uesugi. 1987. “Tests of the interface between sand and steel in the simple shear apparatus.” Géotechnique 37 (1): 45–52.
Kleinberg, J., S. Mullainathan, and M. Raghavan. 2016. “Inherent trade-offs in the fair determination of risk scores.” Preprint, Accessed May 21, 2023. http://arxiv.org/abs/1609.05807.
Kolmogorov, A. 1933. “Sulla determinazione empirica di una lgge di distribuzione.” Giorn. Inst. Ital. Attuari 4: 83–91.
Kolymbas, D. 1991. “Computer-aided design of constitutive laws.” Int. J. Numer. Anal. Methods Geomech. 15 (8): 593–604. https://doi.org/10.1002/nag.v15:8.
Koval, G., F. Chevoir, J. N. Roux, J. Sulem, and A. Corfdir. 2011. “Interface roughness effect on slow cyclic annular shear of granular materials.” Granular Matter 13 (5): 525–540. https://doi.org/10.1007/s10035-011-0267-2.
Kullback, S., and R. A. Leibler. 1951. “On information and sufficiency.” Ann. Math. Stat. 22 (1): 79–86. https://doi.org/10.1214/aoms/1177729694.
Lashkari, A. 2013. “Prediction of the shaft resistance of nondisplacement piles in sand.” Int. J. Numer. Anal. Methods Geomech. 37 (8): 904–931. https://doi.org/10.1002/nag.v37.8.
Li, X.-S., and Y. Wang. 1998. “Linear representation of steady-state line for sand.” J. Geotech. Geoenviron. Eng. 124 (12): 1215–1217. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:12(1215).
Liu, F., M. Bayarri, J. Berger, R. Paulo, and J. Sacks. 2008. “A bayesian analysis of the thermal challenge problem.” Comput. Methods Appl. Mech. Eng. 197 (29–32): 2457–2466. https://doi.org/10.1016/j.cma.2007.05.032.
Liu, Y.-J., G. Li, Z.-Y. Yin, C. Dano, P.-Y. Hicher, X.-H. Xia, and J.-H. Wang. 2014. “Influence of grading on the undrained behavior of granular materials.” C.R. Mec. 342 (2): 85–95. https://doi.org/10.1016/j.crme.2013.11.001.
Mašín, D. 2015. “The influence of experimental and sampling uncertainties on the probability of unsatisfactory performance in geotechnical applications.” Géotechnique 65 (11): 897–910.
Mortara, G. 2001. “An elastoplastic model for sand-structure interface behaviour under monotonic and cyclic loading.” Ph.D. thesis, Dept. of Structural, Geotechnical and Building Engineering, Politecnico di Torino.
Muir Wood, D., and K. Maeda. 2008. “Changing grading of soil: Effect on critical states.” Acta Geotechnica 3 (1): 3–14. https://doi.org/10.1007/s11440-007-0041-0.
Papaioannou, I., and D. Straub. 2017. “Learning soil parameters and updating geotechnical reliability estimates under spatial variability–theory and application to shallow foundations.” Georisk 11 (1): 116–128.
Park, C., J.-H. Choi, and R. T. Haftka. 2016. “Teaching a verification and validation course using simulations and experiments with paper helicopters.” J. Verif. Validation Uncertainty Quantif. 1 (3).
Phoon, K.-K. 2020. “The story of statistics in geotechnical engineering.” Georisk: Assess. Manage. Risk Eng. Syst. 14 (1): 3–25.
Phoon, K.-K., and F. H. Kulhawy. 1999. “Characterization of geotechnical variability.” Canadian Geotechnical Journal 36 (4): 612–624. https://doi.org/10.1139/t99-038.
Pra-Ai, S. 2013. “Behaviour of soil–structure interfaces subjected to large number of cycles. Application to piles.” Ph.D. thesis, Doctoral School Engineering – Materials, Mechanics, Environment, Energy, Processes, Production (I-MEP2) Univ. de Grenoble.
Psarropoulos, P. N., Y. Tsompanakis, and M. Katsirakis. 2022. “Dynamic soil–structure interaction between retaining walls, retaining soil and retained structures.” Bull. Earthquake Eng. 20 (7): 3593–3617. https://doi.org/10.1007/s10518-021-01288-6.
Richart, F. E., J. R. Hall, and R. D. Woods. 1970. Vibrations of soils and foundations. Upper Saddle River, NJ: Prentice Hall.
Roscoe, K. H., A. Schofield, and A. P. Wroth. 1958. “On the yielding of soils.” Geotechnique 8 (1): 22–53. https://doi.org/10.1680/geot.1958.8.1.22.
Sayed, M. A., O.-S. Kwon, D. Park, and Q. Van Nguyen. 2019. “Multi-platform soil–structure interaction simulation of Daikai subway tunnel during the 1995 Kobe earthquake.” Soil Dyn. Earthquake Eng. 125: 105643. https://doi.org/10.1016/j.soildyn.2019.04.017.
Seo, H. J., and L. Pelecanos. 2018. “Finite element analysis of soil–structure interaction in soil anchor pull-out tests.” In Numerical methods in geotechnical engineering IX, 1439–1444. Boca Raton, FL: CRC Press.
Singh, V. P., and G. SivakumarBabu. 2010. “2d numerical simulations of soil nail walls.” Geotech. Geol. Eng. 28 (4): 299–309. https://doi.org/10.1007/s10706-009-9292-x.
Skau, K. S., H. P. Jostad, G. Eiksund, and H. Sturm. 2019. “Modelling of soil–structure-interaction for flexible caissons for offshore wind turbines.” Ocean Engng 171: 273–285. https://doi.org/10.1016/j.oceaneng.2018.10.035.
Smirnoff, N. 1939. “On the estimation of the discrepancy between empirical curves of distribution for two independent samples.” Bull. Math. Univ. Moscou 2 (2): 16.
Stutz, H., and D. Masin. 2017. “Hypoplastic interface models for fine-grained soils.” Int. J. Numer. Anal. Methods Geomech. 41 (2): 284–303. https://doi.org/10.1002/nag.v41.2.
Stutz, H., D. Masin, and F. Wuttke. 2016. “Enhancement of a hypoplastic model for granular soil–structure interface behaviour.” Acta Geotech. 11 (6): 1249–1261. https://doi.org/10.1007/s11440-016-0440-1.
Tang, W. H. 1984. “Principles of probabilistic characterization of soil properties.” In Geotechnical safety and reliability, 39–39. Reston, VA: ASCE.
Uesugi, M., and H. Kishida. 1986. “Influential factors of friction between steel and dry sands.” Soils Found. 26 (2): 33–46. https://doi.org/10.3208/sandf1972.26.2_33.
Wang, S., W. Wu, Z.-Y. Yin, C. Peng, and X. He. 2018. “Modelling the time-dependent behaviour of granular material with hypoplasticity.” Int. J. Numer. Anal. Methods Geomech. 42 (12): 1331–1345. https://doi.org/10.1002/nag.v42.12.
Warner, J. E., W. Aquino, and M. D. Grigoriu. 2015. “Stochastic reduced order models for inverse problems under uncertainty.” Comput. Methods Appl. Mech. Eng. 285: 488–514. https://doi.org/10.1016/j.cma.2014.11.021.
Wu, W., and E. Bauer. 1994. “A simple hypoplastic constitutive model for sand.” Int. J. Numer. Anal. Methods Geomech. 18 (12): 833–862. https://doi.org/10.1002/nag.v18:12.
Wu, Z.-X., Z.-Y. Yin, Y.-F. Jin, and X.-Y. Geng. 2019. “A straightforward procedure of parameters determination for sand: A bridge from critical state based constitutive modelling to finite element analysis.” Eur. J. Environ. Civ. Eng. 23 (12): 1444–1466. https://doi.org/10.1080/19648189.2017.1353442.
Yang, J., and Z.-Y. Yin. 2021a. “Soil-structure interface modeling with the nonlinear incremental approach.” Int. J. Numer. Anal. Methods Geomech. 45 (10): 1381–1404. https://doi.org/10.1002/nag.v45.10.
Yang, J., and Z.-Y. Yin. 2021b. “Soil-structure interface modeling with the nonlinear incremental approach.” Int. J. Numer. Anal. Methods Geomech. 45 (10): 1381–1404. https://doi.org/10.1002/nag.v45.10.
Yasufuku, N., and H. Ochiai. 2005. “Sand-steel interface friction related to soil crushability.” In Geotechnical special publication, 627–641. Reston, VA: ASCE.
Yin, Z.-Y., C. S. Chang, and P.-Y. Hicher. 2010. “Micromechanical modelling for effect of inherent anisotropy on cyclic behaviour of sand.” Int. J. Solids Struct. 47 (14–15): 1933–1951. https://doi.org/10.1016/j.ijsolstr.2010.03.028.
Yin, Z.-Y., Y.-F. Jin, S.-L. Shen, and H.-W. Huang. 2017. “An efficient optimization method for identifying parameters of soft structured clay by an enhanced genetic algorithm and elastic–viscoplastic model.” Acta Geotech. 12 (4): 849–867. https://doi.org/10.1007/s11440-016-0486-0.
Yin, Z. Y., Z. X. Wu, and P. Y. Hicher. 2018. “Modeling monotonic and cyclic behavior of granular materials by exponential constitutive function.” J. Eng. Mech. 144 (4): 04018014. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001437.
Youn, B. D., B. C. Jung, Z. Xi, S. B. Kim, and W. Lee. 2011. “A hierarchical framework for statistical model calibration in engineering product development.” Comput. Methods Appl. Mech. Eng. 200 (13–16): 1421–1431. https://doi.org/10.1016/j.cma.2010.12.012.
Zhan, Z., Y. Fu, R.-J. Yang, and Y. Peng. 2011. “An automatic model calibration method for occupant restraint systems.” Struct. Multidiscip. Optim. 44 (6): 815–822. https://doi.org/10.1007/s00158-011-0671-6.
Zhang, L., L. M. Zhang, and W. Tang. 2009. “Uncertainties of field pullout resistance of soil nails.” J. Geotech. Geoenviron. Eng. 135 (7): 966–972. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000014.
Zhang, L., Y. Zheng, and J. Wang. 2003. “Errors in calculating hydrodynamic pressures for stability analysis of soil slopes subject to rainfall.” In Proc. 9th Int. Conf. on Applications of Statistics and Probability in Civil Engineering., 1431–1438. Fairfax, VA: IOS Press.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 24Issue 6June 2024

History

Received: May 25, 2023
Accepted: Dec 26, 2023
Published online: Apr 3, 2024
Published in print: Jun 1, 2024
Discussion open until: Sep 3, 2024

Permissions

Request permissions for this article.

Authors

Affiliations

Hai-Lin Wang [email protected]
Ph.D. Candidate, Dept. of Civil and Environmental Engineering, The Hong Kong Polytechnic Univ., Hong Kong 999077, China; Dept. of Geotechnical Engineering, College of Civil Engineering, Tongji Univ., Shanghai 200092, China. Email: [email protected]
Professor, College of Civil and Transportation Engineering, Shenzhen Univ., Shenzhen 518060, China. Email: [email protected]
Zhen-Yu Yin [email protected]
Professor, Dept. of Civil and Environmental Engineering, The Hong Kong Polytechnic Univ., Hong Kong 999077, China (corresponding author). Email: [email protected]
Xiao-Qiang Gu [email protected]
Professor, Dept. of Geotechnical Engineering, College of Civil Engineering, Tongji Univ., Shanghai 200092, China. Email: [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.

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