Technical Papers
Feb 27, 2021

Numerical Implementation of a Stress-Anisotropy Model for Bearing Capacity Analysis of Circular Footings in Clays Prone to Destructuration

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 147, Issue 5

Abstract

Research indicates the presence of in situ structure of soil skeleton in several natural deposits of clay. However, the effect of such in situ structure and its evolution during loading are rarely accounted for in solution of boundary value problems in geomechanics. This paper explores the effects of inherent soil structure and its degradation on bearing capacity of circular footings in structured clays. An advanced constitutive model that accounts for stress-induced anisotropy, soil structure, and their evolutions with loading is implemented within a finite element analysis (FEA) framework. FEA results demonstrate a significant increase in the bearing capacity of structured clay as compared to that in reconstituted clay. Nonetheless, such an enhancement in limit bearing capacity is subdued by destructuration of soil below the footing. A bearing capacity factor accounting for soil destructuration is proposed for inclusion in the limit bearing capacity calculation of circular footings on structured clay. Successful numerical predictions of results from an instrumented field load test on a footing resting on structured clay further substantiates the importance of considering soil destructuration in bearing capacity analysis.

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Data Availability Statement

Some or all of the data and models generated or used during the study are available from the corresponding author through reasonable request.

References

ABAQUS. 2013. Analysis user’s manual, version 2013. Providence, RI: Dassault Systemes Simulia.
Adachi, T., F. Oka, T. Hirata, T. Hashimoto, J. Nagaya, M. Mimura, and T. B. Pradhan. 1995. “Stress-strain behavior and yielding characteristics of Eastern Osaka clay.” Soils Found. 35 (3): 1–13. https://doi.org/10.3208/sandf.35.1.
ASTM. 2020. Standard test method for consolidated undrained triaxial compression test for cohesive soils. West Conshohocken, PA: ASTM.
Baudet, B., and S. Stallebrass. 2004. “A constitutive model for structured clays.” Géotechnique 54 (4): 269–278. https://doi.org/10.1680/geot.2004.54.4.269.
Borja, R. I., and S. R. Lee. 1990. “Cam-clay plasticity, Part 1: Implicit integration of elasto-plastic constitutive relations.” Comput. Method Appl. Mech. Eng. 78 (1): 49–72. https://doi.org/10.1016/0045-7825(90)90152-C.
Budiman, J. S., S. Sture, and H. Y. Ko. 1992. “Constitutive behavior of stress-induced anisotropic cohesive soil.” J. Geotech. Eng. 118 (9): 1348–1359. https://doi.org/10.1061/(ASCE)0733-9410(1992)118:9(1348).
Burland, J. B. 1990. “On the compressibility and shear strength of natural clays.” Géotechnique 40 (3): 329–378. https://doi.org/10.1680/geot.1990.40.3.329.
Casagrande, A., and N. Carillo. 1944. “Shear failure of anisotropic materials.” J. Boston Soc. Civ. Eng. 31 (4): 74–87.
Dafalias, Y. F. 1986. “An anisotropic critical state soil plasticity model.” Mech. Res. Commun. 13 (6): 341–347. https://doi.org/10.1016/0093-6413(86)90047-9.
Dafalias, Y. F., M. T. Manzari, and M. A. Akaishi. 2002. “Simple anisotropic clay plasticity model.” Mech. Res. Commun. 29 (4): 241–245. https://doi.org/10.1016/S0093-6413(02)00252-5.
Dafalias, Y. F., M. T. Manzari, and A. G. Papadimitriou. 2006. “SANICLAY: Simple anisotropic clay plasticity model.” Int. J. Numer. Anal. Method Geomech. 30 (12): 1231–1257. https://doi.org/10.1002/nag.524.
Freitas, T. B., D. M. Potts, and L. Zdravkovic. 2015. “Numerical study on the response of two footings at Bothkennar research site.” Géotechnique 65 (3): 155–168. https://doi.org/10.1680/geot.13.P.074.
Gens, A., and R. Nova. 1993. “Conceptual bases for a constitutive model for bounded soils and weak rocks.” In Vol. 1of Proc., Int. Symp. on Geotechnical Engineering of Hard Soils Soft Rocks, 485–494. Berlin: Leibniz Association.
Gens, A., and D. M. Potts. 1988. “Critical state models in computational geomechanics.” Eng. Comput. 5 (3): 178–197. https://doi.org/10.1108/eb023736.
Gourvenec, S. M., and D. S. K. Mana. 2011. “Undrained vertical bearing capacity factors for shallow foundations.” Géotechnique Lett. 1 (4): 101–108. https://doi.org/10.1680/geolett.11.00026.
Gourvenec, S. M., C. Vulpe, and T. G. Murthy. 2014. “A method for predicting the consolidated undrained bearing capacity of shallow foundations.” Géotechnique 64 (3): 215–225. https://doi.org/10.1680/geot.13.P.101.
Hight, D. W., A. J. Bond, and J. D. Legge. 1992. “Characterization of the Bothkennar clay: An overview.” Géotechnique 42 (2): 303–347. https://doi.org/10.1680/geot.1992.42.2.303.
Jain, S., and A. Nanda. 2009. “Constitutive modeling of san Francisco bay mud.” Int. J. Geotech. Eng. 3 (4): 527–533. https://doi.org/10.3328/IJGE.2009.03.04.527-533.
Jardine, R. J., B. M. Lehane, P. R. Smith, and P. A. Gildea. 1995. “Vertical loading experiments on rigid pad foundations at Bothkennar.” Géotechnique 45 (4): 573–597. https://doi.org/10.1680/geot.1995.45.4.573.
Karstunen, M., H. Krenn, S. J. Wheeler, M. Koskinen, and R. Zentar. 2005. “Effect of anisotropy and destructuration on the behavior of Murro test embankment.” Int. J. Geomech. 5 (2): 87–97. https://doi.org/10.1061/(ASCE)1532-3641(2005)5:2(87).
Kavvadas, M., and A. Amorosi. 2000. “A constitutive model for structured soils.” Géotechnique 50 (3): 263–273. https://doi.org/10.1680/geot.2000.50.3.263.
Kim, T., and Y. H. Jung. 2015. “Detecting structural collapse of structured natural clays using singular value decomposition of the strain response envelope.” Soils Found. 55 (5): 963–973. https://doi.org/10.1016/j.sandf.2015.09.003.
Kirkgard, M. M., and P. V. Lade. 1991. “Anisotropy of normally consolidated San Francisco bay mud.” Geotech. Test. J. 14 (3): 231–246. https://doi.org/10.1520/GTJ10568J.
Leroueil, S., F. Tavenas, F. Brucy, P. La Rochelle, and M. Roy. 1979. “Behavior of destructured natural clays.” J. Geotech. Eng. Div. 105 (6): 759–778. https://doi.org/10.1016/0148-9062(79)90037-8.
Leroueil, S., and P. R. Vaughn. 1990. “The general and congruent effects of structure in natural soils and weak rocks.” Géotechnique 40 (3): 467–488. https://doi.org/10.1680/geot.1990.40.3.467.
Lerouiel, S. 2002. “Well known aspects of soil behavior so often neglected.” In Proc., 16th Annual Vancouver Geotechnical Society Symp., 2–17. Richmond, BC, Canada: BiTech Publishers.
Ling, H. I., D. Yue, V. N. Kaliakin, and N. J. Themelis. 2002. “Anisotropic elastoplastic bounding surface model for cohesive soils.” J. Eng. Mech. 128 (7): 748–758. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:7(748).
Liu, M. D., and J. P. Carter. 2002. “A structured Cam Clay model.” Can. Geotech. J. 39 (6): 1313–1332. https://doi.org/10.1139/t02-069.
Liu, M. D., and J. P. Carter. 2003. “Volumetric deformation of natural clays.” Int. J. Geomech. 3 (2): 236–252. https://doi.org/10.1061/(ASCE)1532-3641(2003)3:2(236).
Liyanapathirana, D. S., and J. P. Carter. 2005. “Undrained bearing capacity of shallow foundations on structured soils.” In Proc., Int. Symp. on Frontiers in Offshore Geotechnics, 451–457. Boca Raton, FL: CRC Press.
Liyanapathirana, D. S., J. P. Carter, and D. W. Airey. 2005. “Numerical modeling of nonhomogeneous behavior of structured soils during triaxial tests.” Int. J. Geomech. 5 (1): 10–23. https://doi.org/10.1061/(ASCE)1532-3641(2005)5:1(10).
Liyanapathirana, D. S., J. P. Carter, and D. W. Airey. 2009. “Drained bearing response of shallow foundations on structured soils.” Comput. Geotech. 36 (Apr): 493–502. https://doi.org/10.1016/j.compgeo.2008.04.004.
Loukidis, D. 2006. “Advanced constitutive modeling of sands and applications to foundation engineering.” Ph.D. thesis, Lyles School of Civil Engineering, Purdue Univ.
Loukidis, D., T. Chakraborty, and R. Salgado. 2008. “Bearing capacity of strip footings on purely frictional soil under eccentric and inclined loads.” Can. Geotech. J. 45 (6): 768–787. https://doi.org/10.1139/T08-015.
Loukidis, D., and R. Salgado. 2009. “Modeling sand response using two-surface plasticity.” Comput. Geotech. 36 (1–2): 166–186. https://doi.org/10.1016/j.compgeo.2008.02.009.
Mayne, P. W. 1985. “Stress anisotropy effects on clay strength.” J. Geotech. Eng. 111 (3): 356–366. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:3(356).
Mitchell, J. K. 1976. Fundamentals of soil behavior. New York: Wiley.
Muir Wood, D. 1990. Soil behavior and critical state soil mechanics. Cambridge, UK: Cambridge University Press.
Nash, D. F. T., J. J. M. Powell, and I. M. Lloyd. 1992. “Initial investigations of the soft clay test-bed site at Bothkennar.” Géotechnique 42 (2): 163–181. https://doi.org/10.1680/geot.1992.42.2.163.
Ortiz, M., and J. C. Simo. 1986. “An analysis of a new class of integration algorithms for elastoplastic constitutive relations.” Int. J. Numer. Method Eng. 23 (3): 353–366. https://doi.org/10.1002/nme.1620230303.
Potts, D. M., and L. Zdravković. 1999. Finite element analysis in geotechnical engineering: Theory. London: Thomas Telford.
Potts, D. M., and L. Zdravković. 2001. Finite element analysis in geotechnical engineering: Application. London: Thomas Telford.
Randolph, M. F., M. B. Jamiolkowski, and L. Zdravkovic. 2004. Load carrying capacity of foundations, 207–240. London: Thomas Telford.
Roscoe, K., and J. B. Burland. 1968. “On the generalized stress-strain behavior of wet clay.” In Engineering plasticity, 535–609. Cambridge, UK: Cambridge University Press.
Rouainia, M., and D. Muir Wood. 2000. “A kinematic hardening constitutive model for natural clays with loss of structure.” Géotechnique 50 (2): 153–164. https://doi.org/10.1680/geot.2000.50.2.153.
Salgado, R. 2008. The engineering of foundations. New York: McGraw-Hill.
Salgado, R., A. V. Lyamin, S. W. Sloan, and H. S. Yu. 2004. “Two-and three-dimensional bearing capacity of foundations in clay.” Géotechnique 54 (5): 297–306. https://doi.org/10.1680/geot.2004.54.5.297.
Schneider, M. A., S. A. Stanier, D. J. White, and M. F. Randolph. 2018. “Shallow penetrometer tests: Theoretical and experimental modelling of penetration and dissipation stages.” Can. Geotech. J. 57 (4): 568–579. https://doi.org/10.1139/cgj-2018-0656.
Shibuya, S., D. Li, T. Noda, and H. Nakano. 2003. “Mechanical behavior of structured clay and its simulation.” In Proc., 1st Japan-U.S. Workshop on Testing, Modeling, and Simulation, 286–306. Reston, VA: ASCE.
Simo, J. C., and T. J. Hughes. 1987. “General return mapping algorithms for rate-independent plasticity.” In Constitutive laws for engineering materials, edited by C. S. Desai. New York: Elsevier.
Sloan, S. W. 1987. “Substepping schemes for the numerical integration of elastoplastic stress–strain relations.” Int. J. Numer. Method Eng. 24 (5): 893–911. https://doi.org/10.1002/nme.1620240505.
Sloan, S. W., A. J. Abbo, and D. Sheng. 2001. “Refined explicit integration of elastoplastic models with automatic error control.” Eng. Comput. 18 (1–2): 121–194. https://doi.org/10.1108/02644400110365842.
Smith, P. R., R. J. Jardine, and D. W. Hight. 1992. “The yielding of Bothkennar clay.” Géotechnique 42 (2): 257–274. https://doi.org/10.1680/geot.1992.42.2.257.
Spry, M. J., F. H. Kulhawy, and M. D. Grigoriu. 1988. Reliability based foundation design for transmission line structures: Geotechnical site characterization strategy. Palo Alto, CA: Electric Power Research Institute.
Taiebat, M., Y. F. Dafalias, and R. Peek. 2010. “A destructuration theory and its application to SANICLAY model.” Int. J. Numer. Anal. Method Geomech. 34 (10): 1009–1040. https://doi.org/10.1002/nag.841.
Taiebat, M., A. M. Kaynia, and Y. F. Dafalias. 2011. “Application of an anisotropic constitutive model for structured clay to seismic slope stability.” J. Geotech. Geoenviron. Eng. 137 (5): 492–504. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000458.
Wang, S., W. Wu, C. Peng, X. He, and D. Cui. 2018. “Numerical integration and FE implementation of a hypoplastic constitutive model.” Acta Geotech. 13 (6): 1265–1281. https://doi.org/10.1007/s11440-018-0684-z.
Wheeler, S. J., M. Cudny, H. P. Neher, and C. Wiltafsky. 2003a. “Some developments in constitutive modelling of soft clays.” In Proc., Int. Workshop on Geotechnics of Soft Soils—Theory and Practice, 17–19. Essen, Germany: Verlag Glückauf.
Wheeler, S. J., A. Näätänen, M. Karstunen, and M. Lojander. 2003b. “An anisotropic elastoplastic model for soft clays.” Can. Geotech. J. 40 (2): 403–418. https://doi.org/10.1139/t02-119.
Wissmann, J. W., and C. Hauck. 1983. “Efficient elastic-plastic finite element analysis with higher order stress point algorithms.” Comput. Struct. 17 (1): 89–95. https://doi.org/10.1016/0045-7949(83)90033-0.
Yildiz, A., M. Karstunen, and H. Krenn. 2009. “Effect of anisotropy and destructuration on behavior of Haarajoki test embankment.” Int. J. Geomech. 9 (4): 153–168. https://doi.org/10.1061/(ASCE)1532-3641(2009)9:4(153).
Yin, Z. Y., C. S. Chang, M. Karstunen, and P. Y. Hicher. 2010. “An anisotropic elastic–viscoplastic model for soft clays.” Int. J. Solids Struct. 47 (5): 665–677. https://doi.org/10.1016/j.ijsolstr.2009.11.004.
Zdravkovic, L., D. M. Potts, and C. Jackson. 2003. “Numerical study of the effect of preloading on undrained bearing capacity.” Int. J. Geomech. 3 (1): 1–10. https://doi.org/10.1061/(ASCE)1532-3641(2003)3:1(1).
Zdravković, L., D. M. Potts, and D. W. Hight. 2002. “The effect of strength anisotropy on the behavior of embankments on soft ground.” Géotechnique 52 (6): 447–457. https://doi.org/10.1680/geot.2002.52.6.447.
Zhao, J., D. Sheng, M. Rouainia, and S. W. Sloan. 2005. “Explicit stress integration of complex soil models.” Int. J. Numer. Anal. Method Geomech. 29 (12): 1209–1229. https://doi.org/10.1002/nag.456.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 147Issue 5May 2021

History

Received: Dec 3, 2019
Accepted: Nov 5, 2020
Published online: Feb 27, 2021
Published in print: May 1, 2021
Discussion open until: Jul 27, 2021

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Abhishek Ghosh Dastider, S.M.ASCE [email protected]
Doctoral Student, Dept. of Civil Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India. Email: [email protected]
Prasenjit Basu, M.ASCE [email protected]
Associate Professor, Dept. of Civil Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India (corresponding author). Email: [email protected]
Assistant Professor, Dept. of Civil Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400 076, India. ORCID: https://orcid.org/0000-0003-4268-6058. Email: [email protected]

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