Deformation of Granular Material under Continuous Rotation of Stress Principal Axes

Wang, Rui; Fu, Pengcheng; Zhang, Jian -Min; Dafalias, Yannis F.

doi:10.1061/(ASCE)GM.1943-5622.0001383

Deformation of Granular Material under Continuous Rotation of Stress Principal Axes

Journal Article · Thu Feb 07 00:00:00 EST 2019 · International Journal of Geomechanics

DOI:https://doi.org/10.1061/(ASCE)GM.1943-5622.0001383· OSTI ID:1559916

Wang, Rui ^[1]; Fu, Pengcheng ^[2]; Zhang, Jian -Min ^[1]; Dafalias, Yannis F. ^[3]

Tsinghua Univ., Beijing (China)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. of California, Davis, CA (United States); National Technical Univ. of Athens, Athens (Greece)

The mechanical response of granular material to the rotation of stress principal axes is an issue of both practical and theoretical importance in soil mechanics. This study used a two-dimensional (2D) discrete-element method (DEM) simulation to investigate the deformation of granular material under the continuous rotation of stress principal axes while maintaining fixed principal stress values. The results show that under such rotation, the deformation can exceed that caused by fixed principal stress axes cyclic biaxial compression with a maximum deviatoric stress ratio that equals the fixed stress ratio during rotation. The volumetric strain was found to be contractive overall while oscillating within each load cycle for specimens with significant fabric anisotropy. Here, the initial fabric-anisotropy orientation was found to have little influence on the overall evolution of volumetric strain, although it was found to affect the development of shear strain. During the cycles of rotation of initial stress principal axes, the dilatancy of granular material, in the contractive direction, was found to be dominated by the evolving orientation of the major principal stress axis in reference to the initial major principal stress axis during anisotropic consolidation, and the influence of the initial fabric-anisotropy orientation was found to be trivial. As stress rotation continued, the influence of the relative orientation between stress and fabric became prominent, causing the material to dilate when the major principal stress axis rotated from the normal of the bedding plane to being perpendicular to it and causing contraction during the other half of the cycle.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1559916

Report Number(s):: LLNL-JRNL--744427; 899232

Journal Information:: International Journal of Geomechanics, Journal Name: International Journal of Geomechanics Journal Issue: 4 Vol. 19; ISSN 1532-3641

Publisher:: American Society of Civil EngineersCopyright Statement

Country of Publication:: United States

Language:: English

References (47)

Induced fabric under cyclic and rotational loads in a strain space multiple mechanism model for granular materials: INDUCED FABRIC UNDER CYCLIC AND ROTATIONAL LOADS Iai, Susumu; Tobita, Tetsuo; Ozutsumi, Osamu International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 37, Issue 2 https://doi.org/10.1002/nag.1091	journal	October 2011
A kinematic hardening soil model considering the principal stress rotation: MODEL THE PRINCIPAL STRESS ROTATION Yang, Yunming; Yu, Hai-Sui International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 37, Issue 13 https://doi.org/10.1002/nag.2138	journal	August 2012
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
Anisotropic UH model for soils based on a simple transformed stress method: Anisotropic UH Model Yao, Y.; Tian, Y.; Gao, Z. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 41, Issue 1 https://doi.org/10.1002/nag.2545	journal	June 2016
Strength anisotropy of granular material consisting of perfectly round particles: Strength anisotropy of perfectly round particles Wang, Rui; Fu, Pengcheng; Tong, Zhaoxia International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 41, Issue 17 https://doi.org/10.1002/nag.2699	journal	May 2017
Discrete element modelling of deep penetration in granular soils Jiang, M. J.; Yu, H. -S.; Harris, D. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 30, Issue 4 https://doi.org/10.1002/nag.473	journal	January 2006
A non-coaxial constitutive model for sand deformation under rotation of principal stress axes Lashkari, Ali; Latifi, Manouchehr International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 32, Issue 9 https://doi.org/10.1002/nag.659	journal	January 2008
Non-coaxiality and stress-dilatancy rule in granular materials: FE investigation within micro-polar hypoplasticity Tejchman, Jacek; Wu, Wei International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 33, Issue 1 https://doi.org/10.1002/nag.715	journal	January 2009
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
DEM study of fabric features governing undrained post-liquefaction shear deformation of sand Wang, Rui; Fu, Pengcheng; Zhang, Jian-Min Acta Geotechnica, Vol. 11, Issue 6 https://doi.org/10.1007/s11440-016-0499-8	journal	October 2016
Undrained response of reconstituted clay to cyclic pure principal stress rotation Yan, Jia-jia; Zhou, Jian; Gong, Xiao-nan Journal of Central South University, Vol. 22, Issue 1 https://doi.org/10.1007/s11771-015-2519-5	journal	January 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
Contact force-displacement laws and the mechanical behavior of random packs of identical spheres Elata, David; Berryman, James G. Mechanics of Materials, Vol. 24, Issue 3 https://doi.org/10.1016/S0167-6636(96)00034-8	journal	November 1996
Rotational shear effects on ground earthquake response Li, X. S. Soil Dynamics and Earthquake Engineering, Vol. 16, Issue 1 https://doi.org/10.1016/S0267-7261(96)00032-2	journal	January 1997
Experimental investigation on deformation behavior of TJ-1 lunar soil simulant subjected to principal stress rotation Jiang, Mingjing; Li, Liqing; Yang, Qijun Advances in Space Research, Vol. 52, Issue 1 https://doi.org/10.1016/j.asr.2013.02.001	journal	July 2013
Constitutive response of idealized granular media under the principal stress axes rotation Tsutsumi, Seiichiro; Kaneko, Kenji International Journal of Plasticity, Vol. 24, Issue 11 https://doi.org/10.1016/j.ijplas.2008.05.001	journal	November 2008
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
Evolution of fabric under the rotation of the principal stress axes in the simple shear test Raihan Taha, Mohd.; Shaverdi, Homayoun Mechanics of Materials, Vol. 69, Issue 1 https://doi.org/10.1016/j.mechmat.2013.10.003	journal	February 2014
Evaluation of undrained shear strains in multi-directional horizontal shaking Chang, Wen-Jong Soil Dynamics and Earthquake Engineering, Vol. 31, Issue 7 https://doi.org/10.1016/j.soildyn.2011.02.002	journal	July 2011
Proof of Incompleteness of Critical State Theory in Granular Mechanics and Its Remedy Theocharis, Alexandros I.; Vairaktaris, Emmanouil; Dafalias, Yannis F. Journal of Engineering Mechanics, Vol. 143, Issue 2 https://doi.org/10.1061/(ASCE)EM.1943-7889.0001166	journal	February 2017
Evolution of Various Fabric Tensors for Granular Media toward the Critical State Wang, Rui; Fu, Pengcheng; Zhang, Jian-Min Journal of Engineering Mechanics, Vol. 143, Issue 10 https://doi.org/10.1061/(ASCE)EM.1943-7889.0001342	journal	October 2017
Drained Deformation Behavior of Anisotropic Sands during Cyclic Rotation of Principal Stress Axes Tong, Zhao-Xia; Zhang, Jian-Min; Yu, Yi-Lin Journal of Geotechnical and Geoenvironmental Engineering, Vol. 136, Issue 11 https://doi.org/10.1061/(ASCE)GT.1943-5606.0000378	journal	November 2010
Noncoaxial Behavior of Sand under Various Stress Paths Cai, Y.; Yu, H. -S.; Wanatowski, D. Journal of Geotechnical and Geoenvironmental Engineering, Vol. 139, Issue 8 https://doi.org/10.1061/(ASCE)GT.1943-5606.0000854	journal	August 2013
Experimental study of drained anisotropy of granular soils involving rotation of principal stress direction Xiong, Huan; Guo, Lin; Cai, Yuanqiang European Journal of Environmental and Civil Engineering, Vol. 20, Issue 4 https://doi.org/10.1080/19648189.2015.1039662	journal	May 2015
Generalized stress-path-dependent soil behaviour with a new hollow cylinder torsional apparatus Vaid, Y. P.; Sayao, A.; Hou, Enhuang Canadian Geotechnical Journal, Vol. 27, Issue 5 https://doi.org/10.1139/t90-075	journal	October 1990
Behaviour of loose sand under simultaneous increase in stress ratio and principal stress rotation Wijewickreme, Dharmapriya; Vaid, Yoginder P. Canadian Geotechnical Journal, Vol. 30, Issue 6 https://doi.org/10.1139/t93-093	journal	December 1993
Induced anisotropy in a sand Arthur, J. R. F.; Chua, K. S.; Dunstan, T. Géotechnique, Vol. 27, Issue 1 https://doi.org/10.1680/geot.1977.27.1.13	journal	March 1977
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
Dense sand weakened by continuous principal stress direction rotation Arthur, J. R. F.; Chua, K. S.; Dunstan, T. Géotechnique, Vol. 29, Issue 1 https://doi.org/10.1680/geot.1979.29.1.91	journal	March 1979
The development of a new hollow cylinder apparatus for investigating the effects of principal stress rotation in soils Hight, D. W.; Gens, A.; Symes, M. J. Géotechnique, Vol. 33, Issue 4 https://doi.org/10.1680/geot.1983.33.4.355	journal	December 1983
Drained principal stress rotation in saturated sand Symes, M. J.; Gens, A.; Hight, D. W. Géotechnique, Vol. 38, Issue 1 https://doi.org/10.1680/geot.1988.38.1.59	journal	March 1988
Numerical simulations of deviatoric shear deformation of granular media Thornton, C. Géotechnique, Vol. 50, Issue 1 https://doi.org/10.1680/geot.2000.50.1.43	journal	February 2000
Undrained anisotropy and rotational shear in granular soil Yang, Z. X.; Li, X. S.; Yang, J. Géotechnique, Vol. 57, Issue 4 https://doi.org/10.1680/geot.2007.57.4.371	journal	May 2007
Numerical investigation of granular material behaviour under rotational shear Li, X.; Yu, H. -S. Géotechnique, Vol. 60, Issue 5 https://doi.org/10.1680/geot.2010.60.5.381	journal	May 2010
A constitutive framework for anisotropic sand including non-proportional loading Li, X. S.; Dafalias, Y. F. Géotechnique, Vol. 54, Issue 1 https://doi.org/10.1680/geot.54.1.41.36329	journal	January 2004
Cyclic Simple Shear Tests on Saturated Sand in Multi-Directional Loading Ishihara, Kenji; Yamazaki, Fumio Soils and Foundations, Vol. 20, Issue 1 https://doi.org/10.3208/sandf1972.20.45	journal	March 1980
Liquefaction of Sand Due to Multidirectional Cyclic Shear Tokimatsu, Kohji; Yoshimi, Yoshiaki Soils and Foundations, Vol. 22, Issue 3 https://doi.org/10.3208/sandf1972.22.3_126	journal	September 1982
Sand Response to Cyclic Rotation of Principal Stress Directions as Induced by Wave Loads Ishihara, Kenji; Towhata, Ikuo Soils and Foundations, Vol. 23, Issue 4 https://doi.org/10.3208/sandf1972.23.4_11	journal	December 1983
A Constitutive Equation for Sands and its Application to Analyses of Rotational Stress Paths and Liquefaction Resistance Matsuoka, Hajime; Koyama, Hirofumi; Yamazaki, Hiroyuki Soils and Foundations, Vol. 25, Issue 1 https://doi.org/10.3208/sandf1972.25.27	journal	March 1985
Undrained Strength of Sand Undergoing Cyclic Rotation of Principal Stress Axes Towhata, Ikuo; Ishihara, Kenji Soils and Foundations, Vol. 25, Issue 2 https://doi.org/10.3208/sandf1972.25.2_135	journal	June 1985
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
Deformation Prediction for Anisotropic Sand During the Rotation of Principal Stress Axes Miura, Kinya; Toki, Shosuke; Miura, Seiichi Soils and Foundations, Vol. 26, Issue 3 https://doi.org/10.3208/sandf1972.26.3_42	journal	September 1986
Yielding and Flow of Sand Under Principal Stress Axes Rotation Pradel, Daniel; Ishihara, Kenji; Gutierrez, Marte Soils and Foundations, Vol. 30, Issue 1 https://doi.org/10.3208/sandf1972.30.87	journal	March 1990
Flow Theory for Sand During Rotation of Principal Stress Direction Gutierrez, Marte; Ishihara, Kenji; Towhata, Ikuo Soils and Foundations, Vol. 31, Issue 4 https://doi.org/10.3208/sandf1972.31.4_121	journal	December 1991
Model for the Deformation of Sand During Rotation of Principal Stress Directions Gutierrez, Marte; Ishihara, Kenji; Towhata, Ikuo Soils and Foundations, Vol. 33, Issue 3 https://doi.org/10.3208/sandf1972.33.3_105	journal	September 1993

Cited By (2)

3D DEM simulation of principal stress rotation in different planes of cross‐anisotropic granular materials Xue, Long; Kruyt, Niels P.; Wang, Rui International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 43, Issue 14 https://doi.org/10.1002/nag.2945	journal	July 2019
Two-dimensional discrete element simulation of the mechanical behavior and strain localization of anisotropic dense sands Lü, Xilin; Zeng, Sheng; Li, Liuchi Granular Matter, Vol. 21, Issue 2 https://doi.org/10.1007/s10035-019-0891-9	journal	April 2019

Similar Records

Effect of bedding plane orientation on the behavior of granular systems

Conference · Sat Dec 30 23:00:00 EST 1995 · OSTI ID:175252

The effect of a deviatoric stress on physical rock properties. An experimental study simulating the in-situ stress field at the KTB drilling site, Germany

Journal Article · Thu Sep 01 00:00:00 EDT 1994 · Surveys in Geophysics · OSTI ID:44951

Residual strain orientation in rolled titanium determined with synchrotron X-ray Laue microdiffraction

Journal Article · Tue Jan 31 19:00:00 EST 2023 · Journal of Applied Crystallography (Online) · OSTI ID:1972947

Related Subjects

58 GEOSCIENCES
Continuous stress principal axes rotation
Deformation
Discrete element method
Fabric
Granular material

Deformation of Granular Material under Continuous Rotation of Stress Principal Axes

Citation Formats

References (47)

Cited By (2)

Similar Records

Related Subjects