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Naji, M. |
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Motta, Antonella |
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Aletan, Dirar |
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Mohamed, Tarek |
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Ertürk, Emre |
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Taccardi, Nicola |
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Kononenko, Denys |
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Petrov, R. H. | Madrid |
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Alshaaer, Mazen | Brussels |
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Bih, L. |
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Casati, R. |
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Muller, Hermance |
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Kočí, Jan | Prague |
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Šuljagić, Marija |
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Kalteremidou, Kalliopi-Artemi | Brussels |
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Azam, Siraj |
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Ospanova, Alyiya |
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Blanpain, Bart |
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Ali, M. A. |
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Popa, V. |
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Rančić, M. |
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Ollier, Nadège |
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Azevedo, Nuno Monteiro |
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Landes, Michael |
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Rignanese, Gian-Marco |
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Pereira, Jm
École des Ponts ParisTech
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (13/13 displayed)
- 2023Effects of microstructure on THM behaviour of geomaterialscitations
- 2023Effect of supercritical carbonation on porous structure and mechanical strength of cementitious materials modified with bacterial nanocellulosecitations
- 2023Water retention curve of clayey sands determined from pore structure by using various methodscitations
- 2023Pore changes in an illitic clay during one-dimensional compressioncitations
- 2022Cement with bacterial nanocellulose cured at reservoir temperature: Mechanical performance in the context of CO2 geological storagecitations
- 2021Impact of an SRA (hexylene glycol) on irreversible drying shrinkage and pore solution properties of cement pastescitations
- 2020Contactless probing of polycrystalline methane hydrate at pore scale suggests weaker tensile properties than thoughtcitations
- 2020CO2 geological storage: Microstructure and mechanical behavior of cement modified with a biopolymer after carbonationcitations
- 2018Fabric characterisation in transitional soilscitations
- 2017Numerical study of one-dimensional compression of granular materials. II. Elastic moduli, stresses, and microstructure.citations
- 2017Poromechanics VI: Proceedings of the Sixth Biot Conference on Poromechanics
- 2017Investigation into macroscopic and microscopic behaviors of wet granular soils using discrete element method and X-ray computed tomography
- 2015Internal states, stress-strain behavior and elasticity in oedometrically compressed model granular materials
Places of action
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article
Numerical study of one-dimensional compression of granular materials. II. Elastic moduli, stresses, and microstructure.
Abstract
The elastic moduli of a transversely isotropic model granular material, made of slightly polydisperse elastic-frictional spherical beads, in equilibrium along a one-dimensional (oedometric) compression path, as described in the companion paper [M. H. Khalili et al., Phys. Rev. E 95, 032907 (2017)]10.1103/PhysRevE.95.032907, are investigated by numerical simulations. The relations of the five independent moduli to stresses, density, coordination number, fabric and force anisotropies are studied for different internal material states along the oedometric loading path. It is observed that elastic moduli, as in isotropic packs, are primarily determined by the coordination number, with anomalously small shear moduli in poorly coordinated systems, whatever their density. Such states also exhibit faster increasing moduli in compression, and larger off-diagonal moduli and Poisson ratios. Anisotropy affects the longitudinal moduli C_{11} in the axial direction and C_{22} in the transverse directions, and the shear modulus in the transverse plane C_{44}, more than the shear modulus in a plane containing the axial direction C_{55}. The results are compared to available experiments on anisotropic bead packs, revealing, despite likely differences in internal states, a very similar range of stiffness level (linked to coordination), and semiquantitative agreement as regards the influence of anisotropy. Effective medium theory (the Voigt approach) provides quite inaccurate predictions of the moduli. It also significantly underestimates ratios C_{11}/C_{22} (varying between 1 and 2.2) and C_{55}/C_{44} (varying from 1 to 1.6), which characterize elastic anisotropy, except in relatively weakly anisotropic states. The bulk modulus for isotropic compression and the compliance corresponding to stress increments proportional to the previous stress values are the only elastic coefficients to be correctly estimated by available predictive relations. We discuss the influences of fabric and force anisotropies onto elastic anisotropy, showing in particular that the former dominates in sample series that are directly assembled in anisotropic configurations and keep a roughly constant lateral to axial stress ratio under compression.