Strength anisotropy of granular material consisting of perfectly round particles

Wang, Rui; Fu, Pengcheng; Tong, Zhaoxia; Zhang, Jian‐Min; Dafalias, Yannis F.

doi:10.1002/nag.2699

Strength anisotropy of granular material consisting of perfectly round particles

Journal Article · Thu May 11 00:00:00 EDT 2017 · International Journal for Numerical and Analytical Methods in Geomechanics

DOI:https://doi.org/10.1002/nag.2699· OSTI ID:1401902

^[1]; ^[2]; Tong, Zhaoxia ^[3]; Zhang, Jian‐Min ^[1]; Dafalias, Yannis F. ^[4]

Department of Hydraulic Engineering Tsinghua University Beijing 100084 China
Atmospheric, Earth, and Energy Division Lawrence Livermore National Laboratory Livermore CA 94551 U.S.A.
School of Transportation Science and Engineering Beihang University Beijing 100191 China
Department of Civil and Environmental Engineering University of California Davis CA 95616 U.S.A., Department of Mechanics, School of Applied Mathematical and Physical Sciences National Technical University of Athens Zographou Campus Athens Greece

Abstract

The strength anisotropy of granular materials deposited under gravity has mostly been attributed to elongated particles' tendency to align long axes along the bedding plane direction. However, recent experiments on near‐spherical glass beads, for which preferred particle alignment is inapplicable, have exhibited surprisingly strong strength anisotropy. This study tests the hypothesis that certain amount of fabric anisotropy caused by the anisotropic stress during deposition under gravity can be locked in a circular‐particle deposit. Such locked‐in fabric anisotropy can withstand isotropic consolidation and leads to significant strength anisotropy. 2D discrete element method simulations of direct shear tests on circular‐particle deposits are conducted in this study, allowing for the monitoring of both stress and fabric. Simulations on both monodispersed and polydispersed circular‐particle samples generated under downward gravitational acceleration exhibit clear anisotropy in shear strength, thereby proving the hypothesis. When using contact normal‐based and void‐based fabric tensors to quantify fabric anisotropy in the material, we find that the intensity of anisotropy is discernible but low prior to shearing and is dependent on the consolidation process and the dispersity of the sample. The fact that samples with very low anisotropy intensity measurements still exhibit fairly strong strength anisotropy suggests that current typical contact normal‐based and void‐based second‐order fabric tensor formulations may not be very effective in reflecting the anisotropic peak shear strength of granular materials. Copyright © 2017 John Wiley & Sons, Ltd.

View Accepted Manuscript (Publisher)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1401902

Journal Information:: International Journal for Numerical and Analytical Methods in Geomechanics, Journal Name: International Journal for Numerical and Analytical Methods in Geomechanics Journal Issue: 17 Vol. 41; ISSN 0363-9061

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: United Kingdom

Language:: English

References (38)

Discrete element method analysis of non-coaxial flow under rotational shear: DEM ANALYSIS OF NON-COAXIAL FLOW UNDER ROTATIONAL SHEAR Tong, Zhaoxia; Fu, Pengcheng; Dafalias, Yannis F. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 38, Issue 14 https://doi.org/10.1002/nag.2290	journal	April 2014
Assessment of test data for selection of 3-D failure criterion for sand Lade, Poul V. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 30, Issue 4 https://doi.org/10.1002/nag.471	journal	January 2006
Study of anisotropic shear strength of granular materials using DEM simulation Fu, Pengcheng; Dafalias, Yannis F. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 35, Issue 10 https://doi.org/10.1002/nag.945	journal	July 2010
Fabric evolution within shear bands of granular materials and its relation to critical state theory Fu, Pengcheng; Dafalias, Yannis F. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 35, Issue 18 https://doi.org/10.1002/nag.988	journal	November 2010
Polyarc discrete element for efficiently simulating arbitrarily shaped 2D particles: POLYARC DEM FOR EFFICIENTLY SIMULATING ARBITRARILY SHAPED 2D PARTICLES Fu, Pengcheng; Walton, Otis R.; Harvey, John T. International Journal for Numerical Methods in Engineering, Vol. 89, Issue 5 https://doi.org/10.1002/nme.3254	journal	August 2011
On yielding of oriented solids Boehler, J. P.; Sawczuk, A. Acta Mechanica, Vol. 27, Issue 1-4 https://doi.org/10.1007/BF01180085	journal	March 1977
Experimental investigation of shear strength of sands with inherent fabric anisotropy Tong, Zhaoxia; Fu, Pengcheng; Zhou, Shaopeng Acta Geotechnica, Vol. 9, Issue 2 https://doi.org/10.1007/s11440-014-0303-6	journal	February 2014
A laboratory study of anisotropic geomaterials incorporating recent micromechanical understanding Yang, L. -T.; Li, X.; Yu, H. -S. Acta Geotechnica, Vol. 11, Issue 5 https://doi.org/10.1007/s11440-015-0423-7	journal	December 2015
Stress and strain in granular assemblies Bagi, Katalin Mechanics of Materials, Vol. 22, Issue 3 https://doi.org/10.1016/0167-6636(95)00044-5	journal	March 1996
The asymmetry of stress in granular media Bardet, J. P.; Vardoulakis, I. International Journal of Solids and Structures, Vol. 38, Issue 2 https://doi.org/10.1016/S0020-7683(00)00021-4	journal	January 2001
Characterization of anisotropy in porous media by means of linear intercept measurements Inglis, D.; Pietruszczak, S. International Journal of Solids and Structures, Vol. 40, Issue 5 https://doi.org/10.1016/S0020-7683(02)00595-4	journal	March 2003
Structured deformation in granular materials Kuhn, Matthew R. Mechanics of Materials, Vol. 31, Issue 6 https://doi.org/10.1016/S0167-6636(99)00010-1	journal	June 1999
Formulation of anisotropic failure criteria incorporating a microstructure tensor Pietruszczak, S.; Mroz, Z. Computers and Geotechnics, Vol. 26, Issue 2 https://doi.org/10.1016/S0266-352X(99)00034-8	journal	March 2000
Construction of an averaged stress tensor for a granular medium Fortin, J.; Millet, O.; de Saxcé, G. European Journal of Mechanics - A/Solids, Vol. 22, Issue 4 https://doi.org/10.1016/S0997-7538(03)00054-8	journal	July 2003
Quantifying void fabric using a scan-line approach Ghedia, R.; O’Sullivan, C. Computers and Geotechnics, Vol. 41 https://doi.org/10.1016/j.compgeo.2011.10.008	journal	April 2012
Micro–macro transition for anisotropic, frictional granular packings Luding, Stefan International Journal of Solids and Structures, Vol. 41, Issue 21 https://doi.org/10.1016/j.ijsolstr.2004.05.048	journal	October 2004
Analysis of structure and strain at the meso-scale in 2D granular materials Nguyen, Ngoc-Son; Magoariec, Hélène; Cambou, Bernard International Journal of Solids and Structures, Vol. 46, Issue 17 https://doi.org/10.1016/j.ijsolstr.2009.04.019	journal	August 2009
Relationship between void- and contact normal-based fabric tensors for 2D idealized granular materials Fu, Pengcheng; Dafalias, Yannis F. International Journal of Solids and Structures, Vol. 63 https://doi.org/10.1016/j.ijsolstr.2015.02.041	journal	June 2015
Kinematic and static assumptions for homogenization in micromechanics of granular materials Kruyt, N. P.; Rothenburg, L. Mechanics of Materials, Vol. 36, Issue 12 https://doi.org/10.1016/j.mechmat.2002.12.001	journal	December 2004
Anisotropy in granular materials at different scales Cambou, B.; Dubujet, Ph.; Nouguier-Lehon, C. Mechanics of Materials, Vol. 36, Issue 12 https://doi.org/10.1016/j.mechmat.2002.12.002	journal	December 2004
DEM investigation on the effect of sample preparation on the shear behavior of granular soil Dai, Beibing; Yang, Jun; Zhou, Cuiying Particuology, Vol. 25 https://doi.org/10.1016/j.partic.2015.03.010	journal	April 2016
Shear banding in torsion shear tests on cross-anisotropic deposits of fine Nevada sand Lade, Poul V.; Van Dyck, Eugene; Rodriguez, Nina M. Soils and Foundations, Vol. 54, Issue 6 https://doi.org/10.1016/j.sandf.2014.11.004	journal	December 2014
Influence of Particle Shape and Surface Friction Variability on Response of Rod-Shaped Particulate Media O’Sullivan, Catherine; Bray, Jonathan D.; Riemer, Michael F. Journal of Engineering Mechanics, Vol. 128, Issue 11 https://doi.org/10.1061/(ASCE)0733-9399(2002)128:11(1182)	journal	November 2002
Examination of the Response of Regularly Packed Specimens of Spherical Particles Using Physical Tests and Discrete Element Simulations O’Sullivan, Catherine; Bray, Jonathan D.; Riemer, Michael Journal of Engineering Mechanics, Vol. 130, Issue 10 https://doi.org/10.1061/(ASCE)0733-9399(2004)130:10(1140)	journal	October 2004
Micro-Macro Quantification of the Internal Structure of Granular Materials Li, Xia; Li, Xiang-Song Journal of Engineering Mechanics, Vol. 135, Issue 7 https://doi.org/10.1061/(ASCE)0733-9399(2009)135:7(641)	journal	July 2009
Void Fabric Tensor and Ultimate State Surface of Soils Muhunthan, B.; Chameau, J. L. Journal of Geotechnical and Geoenvironmental Engineering, Vol. 123, Issue 2 https://doi.org/10.1061/(ASCE)1090-0241(1997)123:2(173)	journal	February 1997
Modified Direct Shear Test for Anisotropic Strength of Sand Guo, Peijun Journal of Geotechnical and Geoenvironmental Engineering, Vol. 134, Issue 9 https://doi.org/10.1061/(ASCE)1090-0241(2008)134:9(1311)	journal	September 2008
Anisotropic Critical State Theory: Role of Fabric Li, Xiang Song; Dafalias, Yannis F. Journal of Engineering Mechanics, Vol. 138, Issue 3 https://doi.org/10.1061/(ASCE)EM.1943-7889.0000324	journal	March 2012
Formulation of Anisotropic Strength Criteria for Cohesionless Granular Materials Cao, Wei; Wang, Rui; Zhang, Jian-Min International Journal of Geomechanics, Vol. 17, Issue 7 https://doi.org/10.1061/(ASCE)GM.1943-5622.0000861	journal	July 2017
Angularly anisotropic correlation in granular packings Xia, Chengjie; Cao, Yixin; Kou, Binquan Physical Review E, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevE.90.062201	journal	December 2014
Measurement of Uniformity and Anisotropy in Granular Materials Chaney, Rc; Demars, Kr; Muhunthan, B. Geotechnical Testing Journal, Vol. 23, Issue 4 https://doi.org/10.1520/GTJ11063J	journal	January 2000
Inherent anisotropy in a sand Arthur, J. R. F.; Menzies, B. K. Géotechnique, Vol. 22, Issue 1 https://doi.org/10.1680/geot.1972.22.1.115	journal	March 1972
A discrete numerical model for granular assemblies Cundall, P. A.; Strack, O. D. L. Géotechnique, Vol. 29, Issue 1 https://doi.org/10.1680/geot.1979.29.1.47	journal	March 1979
Analytical study of induced anisotropy in idealized granular materials Rothenburg, L.; Bathurst, R. J. Géotechnique, Vol. 39, Issue 4 https://doi.org/10.1680/geot.1989.39.4.601	journal	December 1989
Initial Fabrics and Their Relations to Mechanical Properties of Granular Material Oda, Masanobu SOILS AND FOUNDATIONS, Vol. 12, Issue 1 https://doi.org/10.3208/sandf1960.12.17	journal	January 1972
Experimental study of anisotropic shear strength of sand by plane strain test. Oda, Masanobu; Koishikawa, Isao; Higuchi, Toshio SOILS AND FOUNDATIONS, Vol. 18, Issue 1 https://doi.org/10.3208/sandf1972.18.25	journal	January 1978
Deformation behavior of anisotropic dense sand under principal stress axes rotation. Miura, Kinya; Miura, Seiichi; Toki, Shosuke SOILS AND FOUNDATIONS, Vol. 26, Issue 1 https://doi.org/10.3208/sandf1972.26.36	journal	January 1986
Strength anisotropy and shear band direction in plane strain tests of sand. Tatsuoka, Fumio; Nakamura, Shinya; Huang, Chingchuang SOILS AND FOUNDATIONS, Vol. 30, Issue 1 https://doi.org/10.3208/sandf1972.30.35	journal	January 1990

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