Technical Papers
Sep 10, 2024

Application of the Cyclic Strain Accumulation Method on Shallow Foundations under Eccentric Cyclic Loading in Sand

Publication: International Journal of Geomechanics
Volume 24, Issue 11

Abstract

The cyclic loading of foundation structures in sand leads to an accumulation of plastic deformations in the structures. For shallow foundations of high and slender structures such as wind energy converters (WECs), an accumulation of the plastic rotations is expected under cyclic eccentric loading that is imposed by wind loads, which could be crucial for the proof of serviceability. A practical approach to predict the behavior of shallow foundations under high-cycle eccentric loading is under research. In this paper, a numerical approach, the cyclic strain accumulation method (CSAM), which has been validated for cyclically loaded monopiles, is adopted for shallow foundations under eccentric cyclic loading. Modifications to the CSAM are described, which are necessary to apply it to shallow foundations. The results that are gained with the modified method are compared with a medium-scale model test, in which the deformations of a footing with a diameter of 2.0 m under eccentric one-way cyclic loading were investigated. It can be concluded that the CSAM can make realistic predictions and shows satisfying agreement with the measured cyclic behavior. Although more experiments are needed to finally validate the method, the CSAM could be a promising numerical approach to account for the cyclic behavior of shallow foundations under eccentric cyclic loading in sand.

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Data Availability Statement

All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.

Notation

The following symbols are used in this paper:
b1 and b2
regression parameters to account for the cyclic deformation of noncohesive soil;
N
number of cycles;
VN
cyclic amplifier VN=Nb1Xcb2;
Xc
characteristic stress ratio;
X(0) and X(1)
cyclic stress ratios (Fig. 5);
Δεij,N=1
increase in Cartesian strain component due to static monotonic loading that represents the cyclic load (Fig. 5); and
εij(0) and εij(1)
Cartesian strain components obtained from the start and the end of static reloading (Fig. 5).

References

Achmus, M., Y.-S. Kuo, and K. Abdel-Rahman. 2009. “Behavior of monopile foundations under cyclic lateral load.” Comput. Geotech. 36 (5): 725–735. https://doi.org/10.1016/j.compgeo.2008.12.003.
Cao, S., K. Abdel-Rahman, and M. Achmus. 2023. “A new method for the analysis of foundation behavior in sand under drained high-cycle loading.” Int. J. Numer. Anal. Methods Geomech. 47: 1876–1893. https://doi.org/10.1002/nag.3542.
Cao, S., and M. Achmus. 2023. “Bearing behaviour of shallow foundations for wind energy converters on sandy soils under cyclic eccentric loads.” Int. J. Geotech. Eng. 17 (1): 26–39. https://doi.org/10.1080/19386362.2022.2154922.
Dafalias, Y. F., and M. T. Manzari. 2004. “Simple plasticity sand model accounting for fabric change effects.” J. Eng. Mech. 130 (6): 622–634. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:6(622).
DIBt (Deutsches Institut für Bautechnik). 2015. “Richtlinie für Windenergieanlagen: 2015-03. Einwirkungen und Standsicherheitsnachweise für Turm und Gründung. Korrigierte Fassung 2015.” [In German.]. Reihe B, Heft 8 DiBt Berlin, Germany.
DIN (Deutsches Institut für Normung). 2019. Structures for wind turbines and platforms–Part 4: Soil and foundation elements (2019-01). DIN 18088-4. Berlin, Germany: DIN.
DNVGL (Det Norske Veritas Germanischer Lloyd). 2016. Support structures for wind turbines (2016-04). DNVGL-ST-0126. Bærum, Norwegen: DNVGL.
Doherty, J. P., and D. Muir Wood. 2013. “An extended Mohr–Coulomb (EMC) model for predicting the settlement of shallow foundations on sand.” Géotechnique 63 (8): 661–673. https://doi.org/10.1680/geot.12.P.008.
Duque, J., M. Yang, W. Fuentes, D. Mašín, and M. Taiebat. 2021. “Characteristic limitations of advanced plasticity and hypoplasticity models for cyclic loading of sands.” Acta Geotech. 17: 2235–2257. https://doi.org/10.1007/s11440-021-01418-z.
Fathipour, H., M. Payan, R. J. Chenari, and B. Fatahi. 2022. “General failure envelope of eccentrically and obliquely loaded strip footings resting on an inherently anisotropic granular medium.” Comput. Geotech. 146: 104734. https://doi.org/10.1016/j.compgeo.2022.104734.
Francken, L., and C. Clauwaert. 1987. “Characterization and structural assessment of bound materials for flexible road structures.” In Proc., 6th Int. Conf., on Asphalt Pavements, 130–144. Ann Arbor, MI: University of Michigan.
GL (Germanischer Lloyd). 2012. Guideline for the certification of offshore wind turbines (2012-12). Hamburg, Germany: GL.
Helm, J., J. Laue, and T. Triantafyllidis. 2000. Investigations at RUB on the deformation behavior of soils under cyclic loading. [In German.] Schriftenreihe des Instituts für Grundbau und Bodenmechanik der Ruhr-Universität Bochum. Bochum, Germany: Workshop Boden unter fast zyklischer Belastung. Heft Nr. 32.
Hettler, A. 1981. Displacements of rigid and elastic foundations in sand under monotonic and cyclic loading. [In German.] Heft 90. Karlsruhe, Germany: Institut für Bodenmechanik und Felsmechanik, Universität Fridericiana in Karlsruhe.
Huurman, M. 1996. “Development of traffic induced permanent strains in concrete block pavements.” Heron 41 (1): 29–52.
HyTowering Research Report. 2022. “HyTowering—Optimierung der Bemessung hybrider Türme und Entwicklung eines geeigneten Monitoringkonzepts zur Schadensdetektion und –quantifizierung [In German.].” Hannover, Germany: Projektträger Jülich.
Krabbenhoft, K. 2017. Optum computational engineering G2, materials. Copenhagen, Denmark: OptumG2.
Maghferati, S. P., R. J. Chenari, S. H. Lajevardi, M. Payan, and S. M. Mirhosseini. 2023. “Seismic combined bearing capacity of strip footings on partially saturated soils using lower bound theorem of finite element limit analysis and second-order cone programming.” Comput. Geotech. 157: 105327. https://doi.org/10.1016/j.compgeo.2023.105327.
Niemunis, A., and I. Herle. 1997. “Hypoplastic model for cohesionless soils with elastic strain range.” Mech. Cohesive-frict. Mater. 2 (4): 279–299. https://doi.org/10.1002/(SICI)1099-1484(199710)2:4%3C279::AID-CFM29%3E3.0.CO;2-8.
Niemunis, A., T. Wichtmann, and T. Triantafyllidis. 2005. “A high-cycle accumulation model for sand.” Comput. Geotech. 32 (4): 245–263. https://doi.org/10.1016/j.compgeo.2005.03.002.
Silver, M. L., and H. B. Seed. 1971. “Volume changes in sands during cyclic loading.” J. Soil Mech. Found. Div. 9: 1171–1182.
Simonin, L. E., G. T. Houlsby, and B. W. Byrne. 2022. “Hysand: A new constitutive model for sand under cyclic loading.” In Vol. 3 of Proc., 16th Int. Conf., of Challenges and Innovations in Geomechanics, IACMAG, edited by M. Barla, A. Di Donna, D. Sterpi, and A. Insana, 142–149. Cham, Switzerland: Springer.
SIMULIA. 2022. ABAQUS user’s manual. Providence, RI: SIMULIA.
Vermeer, P. A., and R. De Borst. 1984. “Non-associated plasticity for soils, concrete and rock.” HERON 29 (3): 1–63.
Wichtmann, T. 2005. “Explicit accumulation model for non-cohesive soils under cyclic loading.” Dissertation, Schriftenreihe des Institutes für Grundbau und Bodenmechanik der Ruhr-Universität Bochum, Heft 38.
Wichtmann, T., and T. Triantafyllidis. 2017. “Strain accumulation due to packages of cycles with varying amplitude and/or average stress—On the bundling of cycles and the loss of the cyclic preloading memory.” Soil Dyn. Earthquake Eng. 101: 250–263. https://doi.org/10.1016/j.soildyn.2017.07.012.
Zachert, H., T. Triantafyllidis, and H. Wienbroer. 2011. “Experimental investigations on the deformations accumulation of a shallow foundation model for offshore wind turbines.” [In German.] Bautechnik 88 (11): 782–792. https://doi.org/10.1002/bate.201101515.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 24Issue 11November 2024

History

Received: Dec 5, 2023
Accepted: Jun 10, 2024
Published online: Sep 10, 2024
Published in print: Nov 1, 2024
Discussion open until: Feb 10, 2025

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Institute for Geotechnical Engineering, Leibniz University of Hannover, Hannover 30167, Germany. ORCID: https://orcid.org/0000-0002-8234-5947. Email: [email protected]
Institute for Geotechnical Engineering, Leibniz University of Hannover, Hannover 30167, Germany (corresponding author). ORCID: https://orcid.org/0000-0002-8385-7258. Email: [email protected]
Institute for Geotechnical Engineering, Leibniz University of Hannover, Hannover 30167, Germany. ORCID: https://orcid.org/0000-0003-3285-9445. Email: [email protected]

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