FEM Simulations of Granular Matter Behaviour Under Triaxial Tests
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ORIGINAL PAPER
FEM Simulations of Granular Matter Behaviour Under Triaxial Tests Souhila Fergani . Khedidja Allag Ait Mokhtar . Lynda Djerbal . Patrick Pizette . Nor-Edine Abriak . Ammar Nechnech
Received: 28 October 2018 / Accepted: 26 August 2020 Springer Nature Switzerland AG 2020
Abstract This article presents the results of a numerical simulation carried out from a series of standard triaxial tests conducted on limestone sand from a quarry situated in Algiers (center of Algeria). The main objective of the investigation is to obtain from a numerical analysis a simple soil model to represent the behaviour of the studied material. The 2D Plaxis program is used in this study with the introduction of a model based on the work of Brinkgreve et al. (in: Benz T, Nordal S (eds) Numerical methods in geotechnical engineering, CRC Press, Boca Raton, 2010). Corrections were made to the formulas used, which are based on the relative density, in order to improve the quality of the results in terms of soil behaviour, mechanical strength and deformation. The comparison of the experimental and numerical
S. Fergani (&) L. Djerbal A. Nechnech LEEGO Laboratory, Faculty of the Civil Engineering, University of Sciences and Technology Houari Boumedienne (USTHB), Bab Ezzouar, Algeria e-mail: [email protected] K. Allag Ait Mokhtar E´tablissement d’enseignement supe´rieur prive´ reconnu par l’E´tat, E´cole Spe´ciale des Travaux Publics, du Baˆtiment et de l’Industrie, 28 avenue du Pre´sident Wilson, 94234 Cachan Cedex, Paris, France P. Pizette N.-E. Abriak IMT-Lille-Douai, Univ. Lille, ULR 4515, Laboratory of Civil Engineering and Geo-Environment (LGCgE), 59500 Lille, Douai, France
results for the Mohr–Coulomb model gives a considerable appreciation on the deformation and resistance. However, it fails to represent properly the stress–strain curve. The use of Duncan and Chang model (Hardening Soil Model-HSM) leads to an underestimation of the resistance characteristics (values of the friction angles) with an overall error of 7.98%. Our work consists of the application of two corrections to the HSM model. The first correction is based on the work of Brinkgreve et al. (2010), which focused on the common parameters between the HSM and the HSSM. An overestimation of the deformations was observed with an overall error of 155.96%. The second step consists of canceling the correction of the elastic ref ref modules (E50 , Eoed ) which reduces the error to 1.53%. Keywords Sand Triaxial test Numerical simulation Plaxis 2D Behaviour model Relative density Resume Cet article pre´sente les re´sultats d’une simulation nume´rique effectue´e a` partir d’une se´rie d’essais triaxiaux standards conduits sur un sable calcaire issu d’une carrie`re d’Alger (au centre d’Alge´rie). L’objectif premier de l’investigation est d’aboutir, a` partir d’une analyse nume´rique a` un mode`le de sol simple et repre´sentatif du comportement du mate´riau e´tudie´. Le code de calcul Plaxis 2D est utilise´
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