Abstract
The behavior of granular materials during loading depends on the level of stresses. When confining pressure increases, the peak shear strength, the residual shear strength and the stiffness gradually decrease; besides, the volumetric behavior is shown to be influenced by the stress level. In this paper, such effects, due to changes in stress levels, have been incorporated into a modified von Wolffersdorff hypoplastic model. For this purpose, reference void ratios and exponent α and β, the parameters of the original hypoplastic model are modified using experimental data. The performance of the proposed model is demonstrated by using simulated triaxial tests on Hostun sand with cell pressures up to 15 MPa. The study shows the ability of the improved model to highlight the behavior characteristics of granular materials in dilatancy and (peak) resistance under high stress better than the original model.
Similar content being viewed by others
References
Amrane M, Messast S (2018) Modeling the behavior of geotechnical constructions under cyclic loading with a numerical approach based on. J Lemaitre Model Indian Geotech J 48:520. https://doi.org/10.1007/s40098-017-0275-1
Anaraki KE (2008) Hypoplasticity investigated parameter determination and numerical simulation. M.S. Thesis, Delft University of Technology, Delft.
Bauer E (1996) Calibration of a comprehensive hypoplastic model for granular materials. Soils Found 36(1):13–26
Colliat-Dangus JL, Desrues J, Foray P (1988) Triaxial testing of granular soil under elevated cell pressure. In: Advanced triaxial testing of soil and rock, ASTM STP 977:290–310
Engin H, Jostad H, Rohe A (2014) On the modelling of grain crushing in hypoplasticity. In: International conference on numerical methods in geotechnical engineering, NUMGE, Delft, The Netherlands.
Gudehus G (1996) A comprehensive constitutive equation for granular materials. Soils Found 36(1):1–12
Gudehus G, Amorosi A, Gens A, Herle I, Kolymbas D, Masin D, Muir Wood D, Nova R, Niemunis A, Pastor M, Tamagnini C, Viggiani G (2008) The soilmodels.info project. Int J Numer Anal Methods Geomechan 32(12):1571–1572.
Habib P, Luong MP (1974) Comportement mécanique des sols sous forts recouvrements. 3e Congrés International de Mécanique des Roches, Denver Colorado, USA
Herle I, Gudehus G (1999) Determination of parameters of a hypoplastic constitutive model from properties of grain assemblies. Mech Cohes Frict Mater 4:461–486
Hu W, Yin Z, Dano C, Hicher PY (2011) A constitutive model for granular materials considering grain breakage. Sci China Technol Sci 54(8):2188–2196
Kan ME, Taiebat HA (2014) A bounding surface plasticity model for highly crushable granular materials. Soils Found. https://doi.org/10.1016/j.sandf.2014.11.012
Kolymbas D (1999) Introduction to hypoplasticity Advances in geotechnical engineering and tunnelling, 1st edn. A.A, Balkema, Rorredam
Kolymbas D (1985) A generalized hypoelastic constitutive law. In: Proceeding of international conference on soil mechanics and foundation engineering.
Lade PV, Yamamuro JA, Bopp PA (1996) Significance of particle crushing in granular materials. J Geotech Eng 122(4):309–316
Lanier J, Caillerie D, Chambon R, Viggiani G, Bésuelle P, Desrues J (2004) A general formulation of hypoplasticity. Int J Numer Anal Meth Geomech 28:1461–1478
Le L (1968) Contribution à l'étude des propriéfés mécaniques des sols sous fortes pressions. Thèse de Docteur- lngénieur lMG.
Luong M, Touati A (1983) Sols grenus sous fortes contraintes. Rev Fr Géotech 24:51–63
Matsuoka H, Nakai T (1977) Stress-strain relationship of soil based on the SMP. In: Proceedings of specialty session 9, 9th international conference on soil mechanics and foundation engineering (ICSMFE), pp 153–162.
Mašin D (2019) Modelling of soil behaviour with hypoplasticity, Springer Series in Geomechanics and Geoengineering, © Springer Nature Switzerland AG, https://doi.org/10.1007/978-3-030-03976-9_1.
Nakata Y, Hyodo M, Hyde A (2001) Microscopic particle crushing of sand subjected to high pressure one dimensional compression. Soils Found 41(1):69–83
Phuong NTV et al (2018) Hypoplastic model for crushable sand. Soils Found. https://doi.org/10.1016/j.sandf.2018.02.022
Russell AR, Khalili N (2004) A bounding surface plasticity model for sands exhibiting particle crushing. Can Geotech J 41(6):1179–1192
von Wolffersdorff PA (1996) A hypoplastic relation for granular materials with a predefined limit state surface. Mech Cohes Frict Mater 1(3):251–271
Wei W, Jia L, Xuetao W 2017. A basic hypoplastic constitutive model for sand. Acta Geotech. https://doi.org/10.1007/s11440-017-0550-4
Yamamuro JA, Bopp PA, Lade PV (1996) One-dimensional compression of sands at high pressures. J Geotech Eng 122(2):147–154
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Moussa, A., Salah, M. & Rafik, D. Improvement of a Hypoplastic Model for Granular Materials Under High-Confining Pressures. Geotech Geol Eng 38, 3761–3771 (2020). https://doi.org/10.1007/s10706-020-01256-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10706-020-01256-y