Discrete numerical investigation of the ratcheting phenomenon in granular materials

Francesco Calvetti; Claudio di Prisco

doi:10.1016/j.crme.2010.09.006

Discrete numerical investigation of the ratcheting phenomenon in granular materials
[Analyse numérique discrète du phénomène de cliquet dans les matériaux granulaires]

Francesco Calvetti ¹ ; Claudio di Prisco ¹

¹ Dipartimento di Ingegneria Strutturale, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy

Comptes Rendus. Mécanique, Volume 338 (2010) no. 10-11, pp. 604-614.

Résumé
Abstract

Plusieurs travaux géotechniques, tels que les remblais des chemins de fer et des routes, les fondations offshore et celles des machines vibrantes, sont affectées par l'accumulation progressive des déformations irréversibles. Cela représente la réorganisation progressive des particules sous chargement cyclique, ce qui est communément appelé dans la littérature comme effet de cliquet. Ce phénomène est bien connu mais tout difficile à quantifier a travers d'un modèle constitutif approprié. Dans cet article, ce phénomène sera abordé en employant la méthode des éléments discrets pour décrire l'évolution de la structure induite par les perturbations cycliques mécaniques. Plusieurs essais numériques sont effectués afin d'évaluer l'influence du niveau de chargement et de la densité relative sur la réponse mécanique. Les analyses numériques sont destinées à fournir une base expérimentale pour concevoir une approche simplifiée basée sur la plasticité généralisée. En particulier par des sondages incrémentaux l'évolution du potentiel plastique et des paramètres d'écrouissage seront étudiés.

Several relevant geotechnical works, such as railway and road embankments, offshore foundations and vibrating machine foundations, are affected by the progressive accumulation of irreversible settlements. These latter represent the macroscopic evidence of the progressive rearrangement of particles under cycling loading, which is commonly referred to, in the literature, as ratcheting. This phenomenon is well known, but it is quite difficult to describe it by means of an appropriate constitutive model. As a consequence, the evaluation of durability of the aforementioned structures remains an open problem. In this article, the phenomenon will be approached by employing a Distinct Element model capable of describing the evolution of the microstructure induced by cyclic mechanical perturbations. Several analyses are performed in order to stress the influence of both the stress level and loading history on the mechanical response of a numerical model of a sand specimen. The numerical analyses are intended to provide an experimental background for conceiving a simplified macro approach based on generalised plasticity theory. In particular by means of probe test the plastic potential and the hardening parameters will be defined as a function of the current stress state and loading history.

Publié le : 2010-10-01

DOI : 10.1016/j.crme.2010.09.006

Keywords: Granular materials, Incremental behaviour, Distinct elements, Cyclic loading, Ratcheting
Mot clés : Matériaux granulaires, Comportement incrémentale, Éléments discrets, Chargement cyclique, Cliquet

Affiliations des auteurs :

Francesco Calvetti ¹ ; Claudio di Prisco ¹

¹ Dipartimento di Ingegneria Strutturale, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy

@article{CRMECA_2010__338_10-11_604_0,
     author = {Francesco Calvetti and Claudio di Prisco},
     title = {Discrete numerical investigation of the ratcheting phenomenon in granular materials},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {604--614},
     publisher = {Elsevier},
     volume = {338},
     number = {10-11},
     year = {2010},
     doi = {10.1016/j.crme.2010.09.006},
     language = {en},
}

TY  - JOUR
AU  - Francesco Calvetti
AU  - Claudio di Prisco
TI  - Discrete numerical investigation of the ratcheting phenomenon in granular materials
JO  - Comptes Rendus. Mécanique
PY  - 2010
SP  - 604
EP  - 614
VL  - 338
IS  - 10-11
PB  - Elsevier
DO  - 10.1016/j.crme.2010.09.006
LA  - en
ID  - CRMECA_2010__338_10-11_604_0
ER  -

%0 Journal Article
%A Francesco Calvetti
%A Claudio di Prisco
%T Discrete numerical investigation of the ratcheting phenomenon in granular materials
%J Comptes Rendus. Mécanique
%D 2010
%P 604-614
%V 338
%N 10-11
%I Elsevier
%R 10.1016/j.crme.2010.09.006
%G en
%F CRMECA_2010__338_10-11_604_0

Francesco Calvetti; Claudio di Prisco. Discrete numerical investigation of the ratcheting phenomenon in granular materials. Comptes Rendus. Mécanique, Volume 338 (2010) no. 10-11, pp. 604-614. doi : 10.1016/j.crme.2010.09.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.09.006/

Bibliographie
Cité par

[1] P. Royis; T. Doanh Theoretical analysis of strain response envelopes using incrementally non-linear constitutive equations, Int. J. Num. Anal. Meth. Geomech., Volume 22 (1998), pp. 97-132

[2] F. Calvetti; G. Viggiani; C. Tamagnini A numerical investigation of the incremental behaviour of granular soils, Rivista Italiana di Geotecnica, Volume 37 (2003) no. 3, pp. 11-29

[3] J.P. Bardet; J. Proubet Application of micromechanics to incrementally nonlinear constitutive equations for granular media (J. Biarez; R. Gourvès, eds.), Powders & Grains 1989, Balkema, Rotterdam, 1989, pp. 265-273

[4] J.P. Bardet Numerical simulations of the incremental responses of idealized granular materials, Int. J. Plast., Volume 10 (1991) no. 8, pp. 879-908

[5] M. Pastor; O.C. Zienkiewicz; A.H.C. Chan Generalized plasticity and the modelling of soil behaviour, Int. J. Num. Anal. Meth. Geomech., Volume 14 (1990), pp. 151-190

[6] C. Tamagnini; F. Calvetti; G. Viggiani An assessment of plasticity theories for modeling the incrementally nonlinear behaviour of granular soils, J. Engrg. Math., Volume 52 (2005) no. 1–3, pp. 265-291

[7] F. Calvetti Micromechanical inspection of constitutive modelling (C. Viggiani, ed.), Constitutive Modelling and Analysis of Boundary Value Problems in Geotechnical Engineering, Hevelius, Benevento, 2003, pp. 187-216

[8] F. Calvetti; C. Tamagnini; G. Viggiani Micro-mechanics of the incremental response of virgin and preloaded granular soils to deviatoric stress probing (P.A. Vermeer; W. Ehlers; H.J. Herrmann; E. Ramm, eds.), Continuous and Discontinuous Modelling of Cohesive-Frictional Materials, Taylor & Francis, 2004, pp. 121-133

[9] G. Castro Liquefaction and cyclic mobility of saturated sands, J. Geotech. Engrg., ASCE, Volume 101 (1975) no. 6, pp. 551-569

[10] F. Alonso-Marroquin; H.J. Herrmann Ratcheting of granular materials, Phys. Rev. Lett., Volume 92 (2004) no. 5, pp. 543011-543014

[11] R. Garcia-Rojo; F. Alonso-Marroquin; H.J. Herrmann Characterization of the material response in granular ratcheting, Phys. Rev. E – Statist. Nonlinear Soft Matter Phys., Volume 72 (2005) no. 4, pp. 1-12

[12] F. Alonso-Marroquín; H.B. Muhlhaus; H.J. Herrmann Micromechanical investigation of granular ratcheting using a discrete model of polygonal particles, Particuology, Volume 6 (2008) no. 6, pp. 390-403

[13] P.A. Cundall; O.D.L. Strack A discrete numerical model for granular assemblies, Géotechnique, Volume 29 (1979) no. 1, pp. 47-65

[14] F. Calvetti Discrete modelling of granular materials and geotechnical problems, Eur. J. Environ. Civil Engrg., Volume 12 (1998) no. 7–8, pp. 951-965

[15] G. Baldi, R. Bellotti, V. Ghionna, M. Jamiolkowski, E. Pasqualini, V. Crippa, P. Morabito, S. Pedroni, C. Fretti, D. Ostricati, Laboratory validation of in situ tests, in: AGI Golden Jubilee Volume for XI ICSMFE, 1985.

[16] A.E. Skinner A note on the influence of interparticle friction on the shearing strength of a random assembly of spherical particles, Géotechnique, Volume 19 (1969), pp. 150-157

[17] A.S.J. Suiker; N.A. Fleck Frictional collapse of granular assemblies, J. Appl. Mech., ASME, Volume 71 (2004), pp. 350-358

[18] F. Calvetti; R. Nova Micromechanical approach to slope stability analysis (F. Darve; I. Vardoulakis, eds.), Degradations and Instabilities in Geomaterials, Springer, 2004, pp. 235-254

[19] F. Gabrieli; S. Cola; F. Calvetti Use of an up-scaled dem model for analysing the behaviour of a shallow foundation on a model slope, Geomechanics and Geoengineering, Volume 4 (2009) no. 2, pp. 109-122

[20] F. Calvetti Micromechanical investigation of the visco-plastic behaviour of granular materials (G.N. Pande; S. Pietrusczczak; N.F. Schweiger, eds.), NUMOG, vol. VII, Balkema, Rotterdam, 1999, pp. 59-64

Cité par Sources :

Commentaires - Politique