Strain localization in dry sheared granular materials: A compactivity-based approach
Abstract
Shear banding is widely observed in natural fault zones as well as in laboratory experiments on granular materials. Understanding the dynamics of strain localization under different loading conditions is essential for quantifying strength evolution of fault gouge, energy partitioning during earthquakes and characterizing rheological transitions and fault zone structure changes. To that end, we develop a physics-based continuum model for strain localization in sheared granular materials. The grain-scale dynamics is described by the Shear Transformation Zone (STZ) theory, a non-equilibrium statistical thermodynamic framework for viscoplastic deformation in amorphous materials. Using a finite strain computational framework, we investigate the initiation and growth of complex shear bands under a variety of loading conditions and identify implication for strength evolution and ductile to brittle transition. Our numerical results show similar localization patterns to field and lab observations and suggest that shear zones show more ductile response at higher confining pressures, lower dilatancy and loose initial conditions. Lower pressures, higher dilatancy and dense initial conditions favor a brittle response and larger strength drops. These findings shed light on a range of mechanisms for strength evolution in dry sheared granular materials and provide a critical input to physicsbased multiscale models of fault zone instabilities.
- Authors:
-
- Univ. of Illinois at Urbana-Champaign, IL (United States)
- Publication Date:
- Research Org.:
- Energy Frontier Research Centers (EFRC) (United States). Center for Geologic Storage of CO2 (GSCO2); Univ. of Illinois at Urbana-Champaign, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1566381
- Alternate Identifier(s):
- OSTI ID: 1467159
- Grant/Contract Number:
- SC0012504; SC0C12504
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review E
- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 2; Journal ID: ISSN 2470-0045
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; defects; mechanical behavior; carbon sequestration; mesostructured materials
Citation Formats
Ma, Xiao, and Elbanna, Ahmed. Strain localization in dry sheared granular materials: A compactivity-based approach. United States: N. p., 2018.
Web. doi:10.1103/physreve.98.022906.
Ma, Xiao, & Elbanna, Ahmed. Strain localization in dry sheared granular materials: A compactivity-based approach. United States. https://doi.org/10.1103/physreve.98.022906
Ma, Xiao, and Elbanna, Ahmed. Wed .
"Strain localization in dry sheared granular materials: A compactivity-based approach". United States. https://doi.org/10.1103/physreve.98.022906. https://www.osti.gov/servlets/purl/1566381.
@article{osti_1566381,
title = {Strain localization in dry sheared granular materials: A compactivity-based approach},
author = {Ma, Xiao and Elbanna, Ahmed},
abstractNote = {Shear banding is widely observed in natural fault zones as well as in laboratory experiments on granular materials. Understanding the dynamics of strain localization under different loading conditions is essential for quantifying strength evolution of fault gouge, energy partitioning during earthquakes and characterizing rheological transitions and fault zone structure changes. To that end, we develop a physics-based continuum model for strain localization in sheared granular materials. The grain-scale dynamics is described by the Shear Transformation Zone (STZ) theory, a non-equilibrium statistical thermodynamic framework for viscoplastic deformation in amorphous materials. Using a finite strain computational framework, we investigate the initiation and growth of complex shear bands under a variety of loading conditions and identify implication for strength evolution and ductile to brittle transition. Our numerical results show similar localization patterns to field and lab observations and suggest that shear zones show more ductile response at higher confining pressures, lower dilatancy and loose initial conditions. Lower pressures, higher dilatancy and dense initial conditions favor a brittle response and larger strength drops. These findings shed light on a range of mechanisms for strength evolution in dry sheared granular materials and provide a critical input to physicsbased multiscale models of fault zone instabilities.},
doi = {10.1103/physreve.98.022906},
journal = {Physical Review E},
number = 2,
volume = 98,
place = {United States},
year = {Wed Aug 01 00:00:00 EDT 2018},
month = {Wed Aug 01 00:00:00 EDT 2018}
}
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Works referenced in this record:
Nonequilibrium thermodynamics in sheared hard-sphere materials
journal, June 2012
- Lieou, Charles K. C.; Langer, J. S.
- Physical Review E, Vol. 85, Issue 6
Rheology of Soft Glassy Materials
journal, March 1997
- Sollich, Peter; Lequeux, François; Hébraud, Pascal
- Physical Review Letters, Vol. 78, Issue 10
Dynamics of shear-transformation zones in amorphous plasticity: Nonlinear theory at low temperatures
journal, August 2005
- Pechenik, Leonid
- Physical Review E, Vol. 72, Issue 2
Ultralow Friction of Carbonate Faults Caused by Thermal Decomposition
journal, May 2007
- Han, R.; Shimamoto, T.; Hirose, T.
- Science, Vol. 316, Issue 5826
A constitutive theory for metallic glasses at high homologous temperatures
journal, June 2007
- Anand, Lallit; Su, Cheng
- Acta Materialia, Vol. 55, Issue 11
Frictional heating and the stability of rate and state dependent frictional sliding
journal, October 1995
- Sleep, Norman H.
- Geophysical Research Letters, Vol. 22, Issue 20
Nonequilibrium thermodynamics of driven amorphous materials. I. Internal degrees of freedom and volume deformation
journal, September 2009
- Bouchbinder, Eran; Langer, J. S.
- Physical Review E, Vol. 80, Issue 3
Nonequilibrium thermodynamics of driven amorphous materials. III. Shear-transformation-zone plasticity
journal, September 2009
- Bouchbinder, Eran; Langer, J. S.
- Physical Review E, Vol. 80, Issue 3
Critical state plasticity. Part VI: Meso-scale finite element simulation of strain localization in discrete granular materials
journal, July 2006
- Borja, Ronaldo I.; Andrade, José E.
- Computer Methods in Applied Mechanics and Engineering, Vol. 195, Issue 37-40
Rate and state dependent friction and the stability of sliding between elastically deformable solids
journal, September 2001
- Rice, James R.; Lapusta, Nadia; Ranjith, K.
- Journal of the Mechanics and Physics of Solids, Vol. 49, Issue 9
Frictional behavior and constitutive modeling of simulated fault gouge
journal, January 1990
- Marone, Chris; Raleigh, C. Barry; Scholz, C. H.
- Journal of Geophysical Research, Vol. 95, Issue B5
Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
journal, November 1971
- Rice, J. R.
- Journal of the Mechanics and Physics of Solids, Vol. 19, Issue 6
Fault zone structure and seismic slip localization in dolostones, an example from the Southern Alps, Italy
journal, December 2012
- Fondriest, Michele; Smith, Steven A. F.; Di Toro, Giulio
- Journal of Structural Geology, Vol. 45
Shear strain localization in elastodynamic rupture simulations: SHEAR STRAIN LOCALIZATION
journal, June 2008
- Daub, Eric G.; Manning, M. Lisa; Carlson, Jean M.
- Geophysical Research Letters, Vol. 35, Issue 12
Jacobian-free Newton–Krylov methods: a survey of approaches and applications
journal, January 2004
- Knoll, D. A.; Keyes, D. E.
- Journal of Computational Physics, Vol. 193, Issue 2
Friction of simulated fault gouge for a wide range of velocities and normal stresses
journal, December 1999
- Mair, Karen; Marone, Chris
- Journal of Geophysical Research: Solid Earth, Vol. 104, Issue B12
Shear-transformation-zone theory of plastic deformation near the glass transition
journal, February 2008
- Langer, J. S.
- Physical Review E, Vol. 77, Issue 2
Simulations of a stretching bar using a plasticity model from the shear transformation zone theory
journal, March 2012
- Rycroft, Chris H.; Gibou, Frédéric
- Journal of Computational Physics, Vol. 231, Issue 5
Dynamic friction in sheared fault gouge: Implications of acoustic vibration on triggering and slow slip: VIBRATION: TRIGGERING AND SLOW SLIP
journal, March 2016
- Lieou, Charles K. C.; Elbanna, Ahmed E.; Carlson, Jean M.
- Journal of Geophysical Research: Solid Earth, Vol. 121, Issue 3
libMesh : a C++ library for parallel adaptive mesh refinement/coarsening simulations
journal, November 2006
- Kirk, Benjamin S.; Peterson, John W.; Stogner, Roy H.
- Engineering with Computers, Vol. 22, Issue 3-4
Stick-slip instabilities and shear strain localization in amorphous materials
journal, December 2009
- Daub, Eric G.; Carlson, Jean M.
- Physical Review E, Vol. 80, Issue 6
Energetics of strain localization in a model of seismic slip
journal, January 2010
- Hermundstad, A. M.; Daub, E. G.; Carlson, J. M.
- Journal of Geophysical Research, Vol. 115, Issue B6
Shear flow of angular grains: Acoustic effects and nonmonotonic rate dependence of volume
journal, September 2014
- Lieou, Charles K. C.; Elbanna, Ahmed E.; Langer, J. S.
- Physical Review E, Vol. 90, Issue 3
Friction, Fracture, and Earthquakes
journal, August 2010
- Daub, Eric G.; Carlson, Jean M.
- Annual Review of Condensed Matter Physics, Vol. 1, Issue 1
A multiscale shear-transformation-zone (STZ) model and simulation of plasticity in amorphous solids
journal, August 2018
- Urata, Shingo; Li, Shaofan
- Acta Materialia, Vol. 155
The progression from damage to localization of displacement observed in laboratory testing of porous rocks
journal, January 2007
- Logan, J. M.
- Geological Society, London, Special Publications, Vol. 289, Issue 1
A two-scale model for sheared fault gouge: Competition between macroscopic disorder and local viscoplasticity: TWO-SCALE MODEL FOR SHEARED FAULT GOUGE
journal, June 2014
- Elbanna, A. E.; Carlson, J. M.
- Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 6
Slip localization and fault weakening as a consequence of fault gouge strengthening — Insights from laboratory experiments
journal, November 2008
- Giger, Silvio B.; Cox, Stephen F.; Tenthorey, Eric
- Earth and Planetary Science Letters, Vol. 276, Issue 1-2
Friction falls towards zero in quartz rock as slip velocity approaches seismic rates
journal, January 2004
- Di Toro, Giulio; Goldsby, David L.; Tullis, Terry E.
- Nature, Vol. 427, Issue 6973
Earthquake Rupture at Focal Depth, Part I: Structure and Rupture of the Pretorius Fault, TauTona Mine, South Africa
journal, July 2011
- Heesakkers, V.; Murphy, S.; Reches, Z.
- Pure and Applied Geophysics, Vol. 168, Issue 12
Fault lubrication during earthquakes
journal, March 2011
- Di Toro, G.; Han, R.; Hirose, T.
- Nature, Vol. 471, Issue 7339
A viscoplastic approach for pore collapse in saturated soft rocks using REDBACK: An open-source parallel simulator for Rock mEchanics with Dissipative feedBACKs
journal, April 2016
- Poulet, Thomas; Veveakis, Manolis
- Computers and Geotechnics, Vol. 74
Ultracataclasite structure and friction processes of the Punchbowl fault, San Andreas system, California
journal, September 1998
- Chester, Frederick M.; Chester, Judith S.
- Tectonophysics, Vol. 295, Issue 1-2
Emergence of Cooperativity in Plasticity of Soft Glassy Materials
journal, June 2014
- Le Bouil, Antoine; Amon, Axelle; McNamara, Sean
- Physical Review Letters, Vol. 112, Issue 24
Dynamics of viscoplastic deformation in amorphous solids
journal, June 1998
- Falk, M. L.; Langer, J. S.
- Physical Review E, Vol. 57, Issue 6
Deformation and Failure of Amorphous, Solidlike Materials
journal, March 2011
- Falk, Michael L.; Langer, J. S.
- Annual Review of Condensed Matter Physics, Vol. 2, Issue 1
Auto-acoustic compaction in steady shear flows: Experimental evidence for suppression of shear dilatancy by internal acoustic vibration: AUTO-ACOUSTIC COMPACTION IN SHEAR FLOWS
journal, September 2012
- van der Elst, Nicholas J.; Brodsky, Emily E.; Le Bas, Pierre-Yves
- Journal of Geophysical Research: Solid Earth, Vol. 117, Issue B9
Particle-size distribution and microstructures within simulated fault gouge
journal, January 1989
- Marone, Chris; Scholz, C. H.
- Journal of Structural Geology, Vol. 11, Issue 7
MOOSE: A parallel computational framework for coupled systems of nonlinear equations
journal, October 2009
- Gaston, Derek; Newman, Chris; Hansen, Glen
- Nuclear Engineering and Design, Vol. 239, Issue 10
A taylor model based description of the proof stress of magnesium AZ31 during hot working
journal, September 2003
- Barnett, M. R.
- Metallurgical and Materials Transactions A, Vol. 34, Issue 9
Microscopic Description of the Granular Fluidity Field in Nonlocal Flow Modeling
journal, January 2017
- Zhang, Qiong; Kamrin, Ken
- Physical Review Letters, Vol. 118, Issue 5
A constitutive model for fault gouge deformation in dynamic rupture simulations
journal, January 2008
- Daub, Eric G.; Carlson, Jean M.
- Journal of Geophysical Research, Vol. 113, Issue B12
From Simulation to Theory in the Physics of Deformation and Fracture
journal, May 2000
- Falk, M. L.; Langer, J. S.
- MRS Bulletin, Vol. 25, Issue 5
Principal Slip Zones in Limestone: Microstructural Characterization and Implications for the Seismic Cycle (Tre Monti Fault, Central Apennines, Italy)
journal, February 2011
- Smith, Steven A. F.; Billi, Andrea; Toro, Giulio Di
- Pure and Applied Geophysics, Vol. 168, Issue 12
Coarse graining atomistic simulations of plastically deforming amorphous solids
journal, May 2017
- Hinkle, Adam R.; Rycroft, Chris H.; Shields, Michael D.
- Physical Review E, Vol. 95, Issue 5
Grain fragmentation in sheared granular flow: Weakening effects, energy dissipation, and strain localization
journal, February 2014
- Lieou, Charles K. C.; Elbanna, Ahmed E.; Carlson, Jean M.
- Physical Review E, Vol. 89, Issue 2
Heating and weakening of faults during earthquake slip: HEATING AND WEAKENING OF FAULTS
journal, May 2006
- Rice, James R.
- Journal of Geophysical Research: Solid Earth, Vol. 111, Issue B5
Cam-Clay plasticity. Part V: A mathematical framework for three-phase deformation and strain localization analyses of partially saturated porous media
journal, December 2004
- Borja, Ronaldo I.
- Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issue 48-51
Localization and instability in sheared granular materials: Role of friction and vibration
journal, February 2017
- Kothari, Konik R.; Elbanna, Ahmed E.
- Physical Review E, Vol. 95, Issue 2
Frictional behavior of large displacement experimental faults
journal, April 1996
- Beeler, N. M.; Tullis, T. E.; Blanpied, M. L.
- Journal of Geophysical Research: Solid Earth, Vol. 101, Issue B4
Rate sensitivity and tension–compression asymmetry in AZ31B magnesium alloy sheet
journal, May 2014
- Kurukuri, Srihari; Worswick, Michael J.; Ghaffari Tari, Dariush
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, Issue 2015
A theory for amorphous viscoplastic materials undergoing finite deformations, with application to metallic glasses
journal, June 2005
- Anand, L.; Su, C.
- Journal of the Mechanics and Physics of Solids, Vol. 53, Issue 6
Three-dimensional discrete element modeling of triggered slip in sheared granular media
journal, April 2014
- Ferdowsi, Behrooz; Griffa, Michele; Guyer, Robert A.
- Physical Review E, Vol. 89, Issue 4
Plastic anisotropy and the role of non-basal slip in magnesium alloy AZ31B
journal, June 2005
- Agnew, Sean R.; Duygulu, Özgür
- International Journal of Plasticity, Vol. 21, Issue 6
The apparent friction of granular fault gouge in sheared layers
journal, January 1994
- Scott, David R.; Marone, Chris J.; Sammis, Charles G.
- Journal of Geophysical Research, Vol. 99, Issue B4
A predictive, size-dependent continuum model for dense granular flows
journal, March 2013
- Henann, D. L.; Kamrin, K.
- Proceedings of the National Academy of Sciences, Vol. 110, Issue 17
Physics of friction and strain rate localization in synthetic fault gouge
journal, November 2000
- Sleep, Norman H.; Richardson, Eliza; Marone, Chris
- Journal of Geophysical Research: Solid Earth, Vol. 105, Issue B11
Effect of strain localization on frictional behavior of sheared granular materials
journal, January 2010
- Rathbun, Andrew P.; Marone, Chris
- Journal of Geophysical Research, Vol. 115, Issue B1
Conditions for the localization of deformation in pressure-sensitive dilatant materials
journal, December 1975
- Rudnicki, J. W.; Rice, J. R.
- Journal of the Mechanics and Physics of Solids, Vol. 23, Issue 6
Microscale anatomy of the 1999 Chi-Chi earthquake fault zone: MICROSTRUCTURE OF THE CHI-CHI EQ FAULT ZONE
journal, March 2009
- Boullier, Anne-Marie; Yeh, En-Chao; Boutareaud, Sébastien
- Geochemistry, Geophysics, Geosystems, Vol. 10, Issue 3
Fault zone architecture and deformation processes within evaporitic rocks in the upper crust: FAULT ZONES WITHIN EVAPORITIC ROCKS
journal, August 2008
- De Paola, N.; Collettini, C.; Faulkner, D. R.
- Tectonics, Vol. 27, Issue 4
Acoustically induced slip in sheared granular layers: Application to dynamic earthquake triggering: TRIGGERED SLIP IN SHEARED GRANULAR GOUGE
journal, November 2015
- Ferdowsi, Behrooz; Griffa, Michele; Guyer, Robert A.
- Geophysical Research Letters, Vol. 42, Issue 22
Frictional properties of the active San Andreas Fault at SAFOD: Implications for fault strength and slip behavior: Friction of SAF at SAFOD
journal, July 2015
- Carpenter, B. M.; Saffer, D. M.; Marone, C.
- Journal of Geophysical Research: Solid Earth, Vol. 120, Issue 7
Mechanical behavior and microstructural evolution of a Mg AZ31 sheet at dynamic strain rates
journal, May 2010
- Ulacia, I.; Dudamell, N. V.; Gálvez, F.
- Acta Materialia, Vol. 58, Issue 8
Theory of powders
journal, June 1989
- Edwards, S. F.; Oakeshott, R. B. S.
- Physica A: Statistical Mechanics and its Applications, Vol. 157, Issue 3
Modeling of rock friction: 1. Experimental results and constitutive equations
journal, January 1979
- Dieterich, James H.
- Journal of Geophysical Research, Vol. 84, Issue B5
Stick-slip instabilities in sheared granular flow: The role of friction and acoustic vibrations
journal, August 2015
- Lieou, Charles K. C.; Elbanna, Ahmed E.; Langer, J. S.
- Physical Review E, Vol. 92, Issue 2
Steady-state, effective-temperature dynamics in a glassy material
journal, November 2007
- Langer, J. S.; Manning, M. L.
- Physical Review E, Vol. 76, Issue 5
A note on some features of the theory of localization of deformation
journal, January 1980
- Rice, J. R.; Rudnicki, J. W.
- International Journal of Solids and Structures, Vol. 16, Issue 7
Discrete shear-transformation-zone plasticity modeling of notched bars
journal, February 2018
- Kondori, Babak; Amine Benzerga, A.; Needleman, Alan
- Journal of the Mechanics and Physics of Solids, Vol. 111
Homogeneous flow of metallic glasses: A free volume perspective
journal, February 2006
- Spaepen, F.
- Scripta Materialia, Vol. 54, Issue 3
Rate-dependent shear bands in a shear-transformation-zone model of amorphous solids
journal, January 2009
- Manning, M. L.; Daub, E. G.; Langer, J. S.
- Physical Review E, Vol. 79, Issue 1
Strain localization in a shear transformation zone model for amorphous solids
journal, November 2007
- Manning, M. L.; Langer, J. S.; Carlson, J. M.
- Physical Review E, Vol. 76, Issue 5
Soil mechanics and plastic analysis or limit design
journal, January 1952
- Drucker, D. C.; Prager, W.
- Quarterly of Applied Mathematics, Vol. 10, Issue 2
Significant effect of grain size distribution on compaction rates in granular aggregates
journal, July 2009
- Niemeijer, André; Elsworth, Derek; Marone, Chris
- Earth and Planetary Science Letters, Vol. 284, Issue 3-4
Granular materials: constitutive equations and strain localization
journal, August 2000
- Anand, L.
- Journal of the Mechanics and Physics of Solids, Vol. 48, Issue 8
Capturing strain localization in dense sands with random density
journal, January 2006
- Andrade, José E.; Borja, Ronaldo I.
- International Journal for Numerical Methods in Engineering, Vol. 67, Issue 11
Slip instability and state variable friction laws
journal, December 1983
- Ruina, Andy
- Journal of Geophysical Research: Solid Earth, Vol. 88, Issue B12
Dilatancy, compaction, and slip instability of a fluid-infiltrated fault
journal, November 1995
- Segall, Paul; Rice, James R.
- Journal of Geophysical Research: Solid Earth, Vol. 100, Issue B11
Elastic-Plastic Deformation at Finite Strains
journal, March 1969
- Lee, E. H.
- Journal of Applied Mechanics, Vol. 36, Issue 1
Plastic deformation in metallic glasses
journal, January 1979
- Argon, A. S.
- Acta Metallurgica, Vol. 27, Issue 1
Laboratory-Derived Friction laws and Their Application to Seismic Faulting
journal, May 1998
- Marone, Chris
- Annual Review of Earth and Planetary Sciences, Vol. 26, Issue 1
Stability and localization of rapid shear in fluid-saturated fault gouge: 1. Linearized stability analysis
journal, May 2014
- Rice, James R.; Rudnicki, John W.; Platt, John D.
- Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 5
Stability and localization of rapid shear in fluid-saturated fault gouge: 2. Localized zone width and strength evolution
journal, May 2014
- Platt, John D.; Rudnicki, John W.; Rice, James R.
- Journal of Geophysical Research: Solid Earth, Vol. 119, Issue 5
Shear zones in clay-rich fault gouge: A laboratory study of fabric development and evolution
journal, June 2013
- Haines, Samuel H.; Kaproth, Bryan; Marone, Chris
- Journal of Structural Geology, Vol. 51
Boundary lubrication with a glassy interface
journal, June 2004
- Lemaître, Anaël; Carlson, Jean
- Physical Review E, Vol. 69, Issue 6
Mechanical response and texture evolution of AZ31 alloy at large strains for different strain rates and temperatures
journal, May 2011
- Khan, Akhtar S.; Pandey, Amit; Gnäupel-Herold, Thomas
- International Journal of Plasticity, Vol. 27, Issue 5
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journal, August 2019
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