Abstract
We review and compare the phenomenological aspects and physical origin of shear localization and shear banding in various material types, namely emulsions, suspensions, colloids, granular materials, and micellar systems. It appears that shear banding, which must be distinguished from the simple effect of coexisting static-flowing regions in yield stress fluids, occurs in the form of a progressive evolution of the local viscosity toward two significantly different values in two adjoining regions of the fluids in which the stress takes slightly different values. This suggests that from a global point of view, shear banding in these systems has a common physical origin: Two physical phenomena (for example, in colloids, destructuration due to flow and restructuration due to aging) are in competition, and depending on the flow conditions, one of them becomes dominant and makes the system evolve in a specific direction.
Similar content being viewed by others
References
Acrivos A, Mauri R, Fan X (1993) Shear-induced resuspension in a Couette device. Int J Multiphase Flow 19:797–802
Ancey C, Coussot P (1999) Transition frictionnelle visqueuse pour une suspension granulaire. CR Acad Sci Paris 327(IIB):515–522 (in French)
Bécu L, Grondin P, Colin A, Manneville S (2004) How does a concentrated emulsion flow? Yielding, local rheology, and wall slip. Colloids and surfaces A: physicochem. Eng Aspects 263:146–152
Bécu L, Manneville S, Colin A (2006) Yielding and flow in adhesive and non-adhesive concentrated emulsions. Phys Rev Lett 96:138302
Benallal A, Billardon R, Geymonat G (1989) Conditions of bifurcation inside and along boundaries for a class of non-standard materials. CR Acad Sci Paris, Série II 308:893–898 (in French)
Berret JF, Roux DC, Porte G, Lindner P (1994) Shear-induced isotropic-to-nematic phase transition in equilibrium polymers. Europhys Lett 25:521–526
Berret JF, Porte G, Decruppe JP (1997) Inhomogeneous shear flows of wormlike micelles: a master dynamic phase diagram. Phys Rev E 55:1668–1676
Bertola V, Bertrand F, Tabuteau H, Bonn D, Coussot P (2003) Wall slip and yielding in pasty materials. J Rheol 1211:47–61
Bird RB, Gance D, Yarusso BJ (1982) The rheology and flow of viscoplastic materials. Rev Chem Eng 1:1–70
Bonn D, Meunier J, Greffier O, Al-Kahwaji A, Kellay H (1998) Bistability in non-Newtonian flow: rheology of lyotropic liquid crystals. Phys Rev E 58:2115–2118
Bonn D, Coussot P, Huynh HT, Bertrand F, Debrégeas G (2002) Rheology of soft-glassy materials. Europhys Lett 59:786–792
Britton MM, Callaghan PT (1997) Two-phase shear band structures at uniform stress. Phys Rev Lett 30:4930–4933
Callaghan PT (2008) Rheo NMR and shear banding. Rheol Acta 47:243–255
Cappelaere E, Berret JF, Decruppe JP, Cressely R, Lindner P (1997) Rheology, birefringence, and small-angle neutron scattering in a charged micellar system: evidence of a shear-induced phase transition. Phys Rev E 56:1869–1878
Cappelaere E, Cressely R, Decruppe JP (1995) Linear and non-linear rheological behaviour of salt-free aqueous CTAB solutions. Colloids and surfaces A. Physicochem Eng Aspects 104:353–374
Cheng DCH (2003) Characterisation of thixotropy revisited. Rheol Acta 42:372–382
Cottrell AH (1964) The mechanical properties of matter. Wiley, New York
Coussot P (2005) Rheometry of pastes, suspensions and granular materials. Wiley, New York
Coussot P, Leonov AI, Piau JM (1993) Rheology of concentrated dispersed systems in a low molecular weight matrix. J Non-Newton Fluid Mech 46:179–217
Coussot P, Raynaud JS, Bertrand F, Moucheront P, Guilbaud JP, Huynh HT, Jarny S, Lesueur D (2002a) Coexistence of liquid and solid phases in flowing soft-glassy materials. Phys Rev Lett 88:218301
Coussot P, Nguyen QD, Huynh HT, Bonn D (2002b) Avalanche behavior in yield stress fluids. Phys Rev Lett 88:175501
Coussot P, Tocquer L, Lanos C, Ovarlez G (2008) Macroscopic vs local rheology of yield stress fluids. J Non-Newton Fluid Mech. doi:10.1016/j.jnnfm.2008.08.003
Da Cruz F (2004) Flow and jamming of dry granular materials. Ph.D. thesis, ENPC, Marne la Vallée (in French)
Decruppe JP, Cressely R, Makhloufi R, Cappelaere E (1995) Flow birefringence experiments showing a shear-banding structure in a CTAB solution. Colloid Polym Sci 273:346–351
Decruppe JP, Lerouge S, Berret JF (2001) Insight in shear banding under transient flow. Phys Rev E 63:022501
Dhont JKG, Briels WJ (2008) Gradient and vorticity banding. Rheol Acta 47:257–281
Falk ML, Langer JS (1998) Dynamics of viscoplastic deformation in amorphous solids. Phys Rev E 57:7192–7205
Fall A (2008) Ph.D. thesis, Univ. Paris VI
Fielding SM (2007) Complex dynamics of shear banded flows. Soft Matter 3:1262–1279
Fischer E, Callaghan PT (2000) Is birefringence band a shear band? Europhys Lett 50:803–809
Gilbreth C, Sullivan S, Dennin M (2006) Flow transitions in two-dimensional foams. Phys Rev E 74:051406
Goyon J, Colin A, Ovarlez G, Ajdari A, Bocquet L (2008) Spatial cooperativity in soft glassy flows. Nature 454:84–87
Hernandez-Acosta S, Gonzalez-Alvarez A, Manero O, Mendez-Sanchez AF, Perez-Gonzalez J, de Vargas L (1999) Capillary rheometry of micellar aqueous solutions. J Non-Newton Fluid Mech 85:229–247
Herzhaft B, Rousseau L, Neau L, Moan M, Bossard F (2002) Influence of temperature and clays/emulsion microstructure on oil-based mud low shear rate rheology. Soc Petrol Eng 77818:1–8
Hill R (1952) On discontinuous plastic states with special references to localized neking in thin sheets. J Mech Phys Solids 1:19
Holmes WM, Lopez-Gonzalez MR, Callaghan PT (2003) Fluctuations in shear-banded flow seen by NMR velocimetry. Europhys Lett 64:274–280
Holmes WM, Callaghan PT, Vlassopoulos D, Roovers J (2004) Shear banding phenomena in ultrasoft colloidal glasses. J Rheol 48:1085–1102
Holmqvist P, Daniel C, Hamley IW, Mingvanish W, Booth C (2002) Inhomogeneous flow in a micellar solution of a diblock copolymer: creep rheometry experiments. Colloids surfaces A. Physicochem Eng Aspects 196:39
Huang N, Ovarlez G, Bertrand F, Rodts S, Coussot P, Bonn D (2005) Flow of wet granular materials. Phys Rev Lett 94:028301
Jarny S, Roussel N, Rodts S, Le Roy R, Coussot P (2005) Rheological behavior of cement pastes from MRI velocimetry. Concrete Cement Res 35:1873–1881
Kabla A, Debrégeas G (2003) Local stress relaxation and shear banding in a dry foam under shear. Phys Rev Lett 90:258303
Lauridsen J, Chanan G, Dennin M (2004) Velocity profiles in slowly sheared bubble rafts. Phys Rev Lett 93:018303
Lerouge S, Decruppe JP, Berret JF (2000) Correlation between rheological and optical properties of micellar solution under shear banding flow. Langmuir 16:6464–6474
Liu AJ, Nagel SR (1998) Jamming is not just cool any more. Nature 396:21–22
Mair RW, Callaghan PT (1997) Shear flow of wormlike micelles in pipe and cylindrical Couette geometries as studied by nuclear magnetic resonance microscopy. J Rheol 41:901–923
Makhloufi R, Decruppe JP, Aït-Ali A, Cressely R (1995) Rheological study of worm-like micelles undergoing a shear banding flow. Europhys Lett 32:253–258
Manneville S (2008) Recent probes of shear banding. Rheol Acta 47:301–318
Moller PCF, Rodts S, Michels MAJ, Bonn D (2008) Shear banding and yield stress in soft glassy materials. Phys Rev E 77:041507
Mueth DM, Debregeas GF, Karczmar GS, Eng PJ, Nagel SR, Jaeger HM (2000) Signatures of granular microstructure in dense shear flows. Nature 406:385–389
Nedderman RM (1992) Statics and kinematics of granular materials. Cambridge University Press, Cambridge
Olmsted PD (2008) Perspectives on shear banding in complex fluids. Rheol Acta 47:283–300
Ovarlez G, Bertrand F, Rodts S (2006) Local determination of the constitutive law of a dense suspension of noncolloidal particles through MRI. J Rheol 50:259–292
Ovarlez G, Rodts S, Coussot P, Goyon J, Colin A (2008) Wide gap Couette flows of dense emulsions: local concentration measurements, and comparison between macroscopic and local constitutive law measurements through magnetic resonance imaging. Phys Rev E 78:036307
Partal P, Kowalski AJ, Machin D, Kiratzis N, Berni MG, Lawrence CJ (2001) Rheology and microstructural transitions in the lamellar phase of a cationic surfactant. Langmuir 17:1331–1337
Pignon F, Magnin A, Piau JM (1996) Thixotropic colloidal suspensions and flow curves with minimum: identification of flow regimes and rheometric consequences. J Rheol 40:573–587
Ragouilliaux A, Herzhaft B, Bertrand F, Coussot P (2006) Flow instability and shear localization in a drilling mud. Rheol Acta 46:261–271
Ragouilliaux A, Ovarlez G, Shahidzadeh-Bonn N, Herzhaft B, Palermo T, Coussot P (2007) Transition from a simple yield stress fluid to a thixotropic material. Phys Rev E 76:051408
Raynaud JS, Moucheront P, Baudez JC, Bertrand F, Guilbaud JP, Coussot P (2002) Direct determination by NMR of the thixotropic and yielding behavior of suspensions. J Rheol 46:709–732
Rehage H, Hoffmann H (1991) Viscoelastic surfactant solutions-model systems for rheological research. Mol Phys 74:933–973
Rice JR (1976) The localization of deformation. In: Koiter WT (ed) Theoretical and applied mechanics. North Holland, Amsterdam, pp 207–220
Rodts S, Bertrand F, Jarny S, Poullain P, Moucheront P (2004) Recent developments in MRI applications in rheology and fluids mechanics. CR Chimie 7:275–282
Rodts S, Baudez JC, Coussot P (2005) From discrete to continuum flow in foams. Europhys Lett 69:636–642
Rogers SA, Vlassopoulos D, Callaghan PT (2008) Aging, yielding, and shear banding in soft colloidal glasses. Phys Rev Lett 100:128304
Roussel N, Le Roy R, Coussot P (2004) Thixotropy modelling at local and macroscopic scales. J Non-Newton Fluid Mech 117:85–95
Roux D, Nallet F, Diat O (1993) Rheology of lyotropic lamellar phases. Europhys Lett 24:53–58
Salmon JB, Colin A, Roux D (2002) Dynamical behaviour of a complex fluid near an out-of-equilibrium transition: approaching simple rheological chaos. Phys Rev E 66:031505
Salmon JB, Manneville S, Colin A (2003) Shear-banding in a lyotropic lamellar phase, part I: time-averaged velocity profiles. Phys Rev E 68:051503
Schmitt V, Lequeux F, Pousse A, Roux D (1994) Flow behavior and shear-induced transition near isotropic–nematic transition in equilibrium polymers. Langmuir 10:955–961
Schofield MA, Wroth CP (1968) Critical state of soil mechanics. McGraw-Hill, London
Sollich P, Lequeux F, Hebraud P, Cates ME (1997) Rheology of soft glassy materials. Phys Rev Lett 78:2020–2023
Tabor D (1991) Gases, liquids and solids, and other states or matter. Cambridge University Press, Cambridge
Tanner RI (1988) Engineering rheology. Clarendon Press, Oxford
Wassenius H, Callaghan PT (2005) NMR velocimetry studies of the steady-shear rheology of a concentrated hard-sphere colloidal system. Eur Phys J E 18:69–84
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ovarlez, G., Rodts, S., Chateau, X. et al. Phenomenology and physical origin of shear localization and shear banding in complex fluids. Rheol Acta 48, 831–844 (2009). https://doi.org/10.1007/s00397-008-0344-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00397-008-0344-6