Technical Papers
Nov 18, 2022

Numerical and Physical Modeling of the Effect of the Cone Apex Angle on the Penetration Resistance in Coarse-Grained Soils

Publication: International Journal of Geomechanics
Volume 23, Issue 2

Abstract

The tip shape of penetrometers and piles has an important influence on the soil resistance mobilized during penetration. Blunt or flat tips typically generate greater penetration resistances, which can lead to refusal during in-situ testing and pile driving in the field. Results are presented from numerical and experimental investigations on probes with conical tips of varying apex angles to quantify the effect of the apex angle on the mobilized penetration resistance and associated failure mechanisms. Discrete element modeling (DEM) simulations were performed in unconfined and confined (i.e., stress-controlled) specimens to model shallow and deep penetration conditions, respectively. Centrifuge penetration tests were performed by quasi-statically advancing an instrumented probe to a depth-to-probe-diameter ratio of 16.7. The numerical and experimental results indicate that at shallow depths, the sharper tips mobilize smaller penetration resistances. In deep penetration conditions, the changes in penetration resistance with tip apex angle are less pronounced. Based on the results of the two investigations and values reported in the literature, a relationship characterizing the functional form between tip apex angle and normalized penetration resistance is proposed. A mesoscale analysis of the DEM simulation shows differences in the failure mechanisms induced by sharp and blunt tips: the zone where large particle displacements and stress changes occur is large and located below the tip for penetration with blunt tips, whereas the zone is smaller and located both laterally and below the tip for sharp tips.

Get full access to this article

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

Acknowledgments

This material is based upon work supported by the National Science Foundation (NSF) under Award No. 1942369 and by the Engineering Research Center Program of the NSF under Cooperative Agreement No. EEC-1449501. The centrifuge tests were conducted at the UC Davis CGM, which is supported under Grant No. CMMI-1520581. Any opinions, findings, and conclusions expressed in this material are those of the author(s) and do not necessarily reflect those of the NSF.

References

Ai, J., J.-F. Chen, J. M. Rotter, and J. Y. Ooi. 2011. “Assessment of rolling resistance models in discrete element simulations.” Powder Technol. 206 (3): 269–282. https://doi.org/10.1016/j.powtec.2010.09.030.
Arroyo, M., J. Butlanska, A. Gens, F. Calvetti, and M. Jamiolkowski. 2011. “Cone penetration tests in a virtual calibration chamber.” Géotechnique 61 (6): 525–531. https://doi.org/10.1680/geot.9.P.067.
Bergmann, P. J., and D. S. Berry. 2021. “How head shape and substrate particle size affect fossorial locomotion in lizards.” J. Exp. Biol. 224. https://doi.org/10.1242/jeb.242244.
Bolton, M. D., M. W. Gui, J. Garnier, J. F. Corte, G. Bagge, J. Laue, and R. Renzi. 1999. “Centrifuge cone penetration tests in sand.” Géotechnique 49 (4): 543–552. https://doi.org/10.1680/geot.1999.49.4.543.
Butlanska, J., M. Arroyo, A. Gens, and C. O’Sullivan. 2014. “Multi-scale analysis of cone penetration test (CPT) in a virtual calibration chamber.” Can. Geotech. J. 51 (1): 51–66. https://doi.org/10.1139/cgj-2012-0476.
Cerkvenik, U., B. van de Straat, S. W. S. Gussekloo, and J. L. van Leeuwen. 2017. “Mechanisms of ovipositor insertion and steering of a parasitic wasp.” Proc. Natl. Acad. Sci. USA 114 (37): E7822–E7831. https://doi.org/10.1073/pnas.1706162114.
Chen, Y., A. Khosravi, A. Martinez, and J. DeJong. 2021. “Modeling the self-penetration process of a bio-inspired probe in granular soils.” Bioinspiration Biomimetics 16 (4): 046012. https://doi.org/10.1088/1748-3190/abf46e.
Ciantia, M. O., M. Arroyo, J. Butlanska, and A. Gens. 2016. “DEM modelling of cone penetration tests in a double-porosity crushable granular material.” Comput. Geotech. 73: 109–127. https://doi.org/10.1016/j.compgeo.2015.12.001.
Ciantia, M., C. O’Sullivan, and R. J. Jardine. 2019. “Pile penetration in crushable soils: Insights from micromechanical modelling.” In Proc., 17th European Conf. on Soil Mechanics and Geotechnical Engineering. London: International Society for Soil Mechanics and Geotechnical Engineering.
Clausen, C. J. F., P. M. Aas, and K. Karlsrud. 2005. “Bearing capacity of driven piles in sand, the NGI approach.” In Proc., Int. Symp. on Frontiers in Offshore Geotechnics, edited by M. Cassidy and S. Gourvenec, 677–681. London: Taylor & Francis.
Coetzee, C. J. 2019. “Particle upscaling: Calibration and validation of the discrete element method.” Powder Technol. 344: 487–503. https://doi.org/10.1016/j.powtec.2018.12.022.
Cundall, P. A., and O. D. L. Strack. 1979. “A discrete numerical model for granular assemblies.” Géotechnique 29 (1): 47–65. https://doi.org/10.1680/geot.1979.29.1.47.
Dastider, A. G., S. Chatterjee, and P. Basu. 2021. “Advancement in estimation of undrained shear strength through fall cone tests.” J. Geotech. Geoenviron. Eng. 147 (7): 04021047. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002535.
Durgunoglu, H. T., and J. K. Mitchell. 1973. Static penetration resistance of soils. NASA Rep. 14. Washington, DC: NASA.
Fioravante, V. 2002. “On the shaft friction modelling of non-displacement piles in sand.” Soils Found. 42 (2): 23–33. https://doi.org/10.3208/sandf.42.2_23.
Garnier, J., C. Gaudin, S. M. Springman, P. J. Culligan, D. Goodings, D. Konig, B. Kutter, R. Phillips, M. F. Randolph, and L. Thorel. 2007. “Catalogue of scaling laws and similitude questions in geotechnical centrifuge modelling.” Int. J. Phys. Model. Geotech. 7 (3): 1–23.
Garnier, J., and D. Konig. 1998. “Scale effects in piles and nail loading tests in sand.” In Vol. 1 of Proc. Int. Conf. Centrifuge 98, 205–210. Rotterdam: Balkema.
Gui, M. W., M. D. Bolton, J. Garnier, J. F. Corte, G. Bagge, J. Laue, and R. Renzi. 1998. “Guidelines for cone penetration tests in sand.” In Vol. 1 of Proc., Int. Conf. on Centrifuge Modelling (Centrifuge ‘98), 155–160. Rotterdam: A.A. Balkema.
Hansbo, S. 1957. “New approach to the determination of the shear strength of clay by the fall-cone test.” In Vol. 14 of Proc., Royal Swedish Geotechnical Institute, 1–48. Stockholm, Sweden: Swedish Geotechnical Institute.
Houlsby, G. T. 1982. “Theoretical analysis of the fall cone test.” Géotechnique 32 (2): 111–118. https://doi.org/10.1680/geot.1982.32.2.111.
Janbu, N. 1976. “Static bearing capacity of friction piles.” In Vol. 1.2 of Proc., 6th European Conf. Soil Mechanics and Foundation Engineering, 479–488. New York, NY: Springer.
Janda, A., and J. Ooi. 2016. “DEM modeling of cone penetration and unconfined compression in cohesive solids.” Powd. Tech. 293 (May): 60–68. https://doi.org/10.1016/j.powtec.2015.05.034.
Jardine, R., F. Chow, R. Overy, and J. Standing. 2005. ICP design method for driven piles in sands and clays. London: Thomas Telford, ICE Publishing.
Khosravi, A., A. Martinez, and J. T. DeJong. 2020. “Discrete element model (DEM) simulations of cone penetration test (CPT) measurements and soil classification.” Can. Geotech. J. 57 (9): 1369–1387. https://doi.org/10.1139/cgj-2019-0512.
Kim, J. H., Y. W. Choo, D. J. Kim, and D. G. Kim. 2016. “Miniature cone tip resistance on sand in a centrifuge.” J. Geotech. Geoenviron. Eng. 142 (3): 04015090.
Kong, X. Q., and C. W. Wu. 2009. “Measurement and prediction of insertion force for the mosquito fascicle penetrating into human skin.” J. Bionic Eng. 6 (2): 143–152. https://doi.org/10.1016/S1672-6529(08)60111-0.
Koumoto, T., and G. T. Houlsby. 2001. “Theory and practice of the fall cone test.” Géotechnique 51 (8): 701–712. https://doi.org/10.1680/geot.2001.51.8.701.
Kuei, K. C., J. T. DeJong, and A. Martinez. 2020. “Particle size effects on the strength and fabric of granular media.” In Geo-Congress 2020: Modeling, Geomaterials, and Site Characterization, Geotechnical Special Publication 317, edited by J. P. Hambleton, R. Makhnenko, and A. S. Budge, 349–358. Reston, VA: ASCE.
Lehane, B. M., J. Schneider, and X. Xu. 2005. “The UWA-05 method for prediction of axial capacity of driven piles in sand.” In Proc., Int. Symp. on Frontiers in Offshore Geotechnics, 683–689. London: Taylor & Francis.
Lin, J., and W. Wei. 2012. “Numerical study of miniature penetrometer in granular material by discrete element method.” Philos. Mag. 92 (28–30): 3474–3482. https://doi.org/10.1080/14786435.2012.706373.
Ling, J., L. Jiang, K. Chen, C. Pan, Y. Li, W. Yuan, and L. Liang. 2016. “Insertion and pull behavior of worker honeybee stinger.” J. Bionic Eng. 13 (2): 303–311. https://doi.org/10.1016/S1672-6529(16)60303-7.
Lobo-Guerrero, S., and L. E. Vallejo. 2007. “Influence of pile shape and pile interaction on the crushable behavior of granular materials around driven piles: DEM analyses.” Granular Matter 9 (3–4): 241–250. https://doi.org/10.1007/s10035-007-0037-3.
Martinez, A., S. Palumbo, and B. D. Todd. 2019. “Bio-inspiration for anisotropic load transfer at soil-structure interfaces.” J. Geotech. Geoenviron. Eng. 145 (10): 04019074. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002138.
Martinez, A., et al. 2021. “Bio-inspired geotechnical engineering: Principles, current work, opportunities and challenges.” Geotechnique 72 (8): 687–705. https://doi.org/http://doi.org/10.1680/jgeot.20.P.170.
McDowell, G. R., O. Falagush, and H. S. Yu. 2012. “A particle refinement method for simulating DEM of cone penetration testing in granular materials.” Géotech. Lett. 2 (3): 141–147. https://doi.org/10.1680/geolett.12.00036.
Mishra, A. K., F. Tramacere, R. Guarino, N. M. Pugno, and B. Mazzolai. 2018. “A study on plant root apex morphology as a model for soft robots moving in soil.” PLoS One 13 (6): e0197411. https://doi.org/10.1371/journal.pone.0197411.
O'Hara, K. B., and A. Martinez. 2022. “Shaft and base capacity of snakeskin-inspired piles from centrifuge pile load tests.” In Proc. GeoCongress 2022, 170–180. Reston, VA: ASCE.
O’Hara, K. B., and A. Martinez. Forthcoming. “Load transfer directionality of snakeskin-inspired piles during installation and pullout in sands.” J. Geotech. Geoenviron. Eng.
O’Sullivan, C. 2011. Particulate discrete element modelling: A geomechanics perspective. Boca Raton, FL: CRC Press.
Puech, A., and P. Foray. 2002. “Refined model for interpreting shallow penetration CPTs in sands.” In Proc., Offshore Technology Conf. Richardson, TX: Offshore Technology Conference (OTC).
Robertson, P. K. 2016. “Cone penetration test (CPT)-based soil behaviour type (SBT) classification system—An update.” Can. Geotech. J. 53 (12): 1910–1927. https://doi.org/10.1139/cgj-2016-0044.
Roessler, T., and A. Katterfeld. 2018. “Scaling of the angle of repose test and its influence on the calibration of DEM parameters using upscaled particles.” Powder Technol. 330: 58–66. https://doi.org/10.1016/j.powtec.2018.01.044.
Salgado, R., S. I. Woo, and D. Kim. 2011. Development of load and resistance factor design for ultimate and serviceability limit states of transportation structure foundations. FHWA/IN/JTRP-2011/03, SPR-3108. Washington, DC: Federal Highway Administration.
Taylor, R. N. 1995. Geotechnical centrifuge technology. London: Chapman and Hall.
Tovar-Valencia, R. D., A. Galvis-Castro, R. Salgado, and M. Prezzi. 2021. “Effect of base geometry on the resistance of model piles in sand.” J. Geotech. Geoenviron. Eng. 147 (3): 04020180. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002472.
Vesic, A. S. 1977. Design of pile foundations. Synthesis of Highway Practice 42. Washington, DC: Transportation Research Board.
Wensrich, C. M., and A. Katterfeld. 2012. “Rolling friction as a technique for modelling particle shape in DEM.” Powder Technol. 217: 409–417. https://doi.org/10.1016/j.powtec.2011.10.057.
Wood, D. M. 1985. “Some fall-cone tests.” Géotechnique 35 (1): 64–68. https://doi.org/10.1680/geot.1985.35.1.64.
Wu, Y., and H. Yamamoto. 2014. “Numerical analysis of the effect of pile tip shape on soil behavior around pile.” Geotech. Eng. 45 (2): 78–89.
Zeng, Z., and Y. Chen. 2016. “Simulation of soil–micropenetrometer interaction using the discrete element method (DEM).” Trans. ASABE 59 (5): 1157–1163. https://doi.org/10.13031/trans.59.11726.

Information & Authors

Information

Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 23Issue 2February 2023

History

Received: Mar 30, 2022
Accepted: Aug 7, 2022
Published online: Nov 18, 2022
Published in print: Feb 1, 2023
Discussion open until: Apr 18, 2023

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

O. M. Hunt, A.M.ASCE [email protected]
HDR Engineering, 2379 Gateway Oaks Dr., Sacramento, CA 95833. Email: [email protected]
K. B. O’Hara, S.M.ASCE [email protected]
Dept. of Civil and Environmental Engineering, Univ. of California Davis, 2001 Ghausi Hall, Davis, CA 95616. Email: [email protected]
Y. Chen, S.M.ASCE [email protected]
Dept. of Civil and Environmental Engineering, Unit. of California Davis, 2001 Ghausi Hall, Davis, CA 95616. Email: [email protected]; [email protected]
Dept. of Civil and Environmental Engineering, Univ. of California Davis, 2001 Ghausi Hall, Davis, CA 95616 (corresponding author). ORCID: https://orcid.org/0000-0003-4649-925X. 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