No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
A small-gap effective-temperature model of transient shear band formation during flow
Ragouilliaux, A. , G. Ovarlez, N. Shahidzadeh-Bonn, B. Herzhaft, T. Palermo, and P. Coussot, “ Transition from a simple yield-stress fluid to a thixotropic material,” Phys. Rev. E 76, 051408 (2007).
Møller, P. C. , A. Fall, V. Chikkadi, D. Derks, and D. Bonn, “ An attempt to categorize yield stress fluid behaviour,” Philos. Trans. R. Soc. A 367, 5139–5155 (2009).
Møller, P. C. , J. Mewis, and D. Bonn, “ Yield stress and thixotropy: On the difficulty of measuring yield stress in practice,” Soft Matter 2, 274–283 (2006).
Ovarlez, G. , S. Rodts, X. Chateau, and P. Coussot, “ Phenomenology and physical origin of shear localization and shear banding in complex fluids,” Rheol. Acta 48, 831–844 (2009).
Bird, R. B. , G. C. Dai, and B. J. Yarusso, “ The rheology and flow of viscoplastic materials,” Rev. Chem. Eng. 1, 1–70 (1982).
Coussot, P. , Rheometry of Pastes, Suspensions, and Granular Materials ( Wiley, New York, 2005).
Boukany, P. E. , and S. Q. Wang, “ Exploring the transition from wall slip to bulk shear banding in well-entangled DNA solutions,” Soft Matter 5, 780 –789 (2009).
Ravindranath, S. , S. Q. Wang, M. Ofechnowicz, and R. Quirk, “ Banding in simple steady shear of entangled polymer solutions,” Macromolecules 41, 2663–2670 (2008).
Helgeson, M. E. , P. A. Vasquez, E. W. Kaler, and N. J. Wagner, “ Rheology and spatially-resolved structure of cetyltrimethylammonium bromide micelles through the shear banding transition,” J. Rheol. 53, 727–756 (2009).
Hu, Y. T. , C. Palla, and A. Lips, “ Comparison between shear banding and shear thinning in entangled micellar solutions,” J. Rheol. 52, 379–400 (2008).
Ovarlez, G. , S. Rodts, A. Ragouilliaux, P. Coussot, J. Goyon, and A. Colin, “ 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 (2008).
Ovarlez, G. , S. Cohen-Addad, K. Krishan, J. Goyon, and P. Coussot, “ On the existence of a simple yield stress fluid behavior,” J. Non-Newtonian Fluid Mech. 193, 68–79 (2013).
Divoux, T. , C. Barentin, and S. Manneville, “ From stress-induced fluidization processes to Herschel–Bulkley behaviour in simple yield stress fluids,” Soft Matter 7, 8409–8418 (2011).
Divoux, T. , D. Tamarii, C. Barentin, S. Teitel, and S. Manneville, “ Yielding dynamics of a Herschel–Bulkley fluid: A critical-like fluidization behaviour,” Soft Matter 8, 4151–4164 (2012).
Fielding, S. M. , M. E. Cates, and P. Sollich, “ Shear banding, aging and noise dynamics in soft glassy materials,” Soft Matter 5, 2378–2382 (2009).
Besseling, R. , L. Isa, P. Ballesta, G. Petekidis, M. E. Cates, and W. C. K. Poon, “ Shear banding and flow-concentration coupling in colloidal glasses,” Phys. Rev. Lett. 105, 268301 (2010).
Bouchbinder, E. , and J. S. Langer, “ Nonequilibrium thermodynamics of driven amorphous materials. iii. shear-transformation-zone plasticity,” Phys. Rev. E 80, 031133 (2009).
Pechenik, L. , and J. S. Langer, “ Dynamics of shear-transformation zones in amorphous plasticity: Energetic constraints in a minimal theory,” Phys. Rev. E 68, 061507 (2003).
Bouchbinder, E. , and J. S. Langer, “ Nonequilibrium thermodynamics of driven amorphous materials. i. internal degrees of freedom and volume deformation,” Phys. Rev. E 80, 031131 (2009).
Langer, J. S. , “ Dynamics of shear-transformation zones in amorphous plasticity: Formulation in terms of an effective disorder temperature,” Phys. Rev. E 70, 041502 (2004).
Manning, M. L. , E. Daub, J. S. Langer, and J. M. Carlson, “ Rate-dependent shear bands in a shear-transformation-zone model of amorphous solids,” Phys. Rev. E 79, 016110 (2009).
Dieterich, E. , J. Camunas-Soler, M. Ribezzi-Crivellari, U. Seifert, and F. Ritort, “ Single-molecule measurement of the effective temperature in non-equilibrium steady states,” Nat. Phys. 11, 971–977 (2015).
Shi, Y. , M. B. Katz, H. Li, and M. L. Falk, “ Evaluation of the disorder temperature and free-volume formalisms via simulations of shear banding in amorphous solids,” Phys. Rev. Lett. 98, 185505 (2007).
Lemaître, A. , Jamming, Yielding and Irreversible Deformation in Condensed Matter, edited by M. C. Miguel and J. M. Rubi ( Springer, New York, 2004).
Kolmogorov, A. , I. Petrovsky, and N. Piskunov, “ Study of the diffusion equation with growth of the quantity of matter and its application to a biology problem (translated),” Bull. Univ. Moscow, Ser. Intern., Sec. A 1, 1–25 (1937).
Article metrics loading...
Recent Couette-cell shear experiments of carbopol gels have revealed the formation of a transient shear band before reaching the steady state, which is characterized by homogeneous flow. This shear band is observed in the small-gap limit where the shear stress is spatially uniform. An effective-temperature model of the transient shear banding and solid-fluid transition is developed for the small-gap limit. The small-gap model demonstrates the ability of a continuum-constitutive law that is based solely on microstructural rearrangements of the gel to account for this transient behavior, and identifies that it proceeds via two distinct processes. A shear band nucleates and gradually broadens via disordering at the interface of the band. Simultaneously, spatially homogeneous fluidization is induced outside of the shear band where the disorder of the gel grows uniformly. Experimental data are used to determine the physical parameters of the theory, and direct, quantitative comparison is made to measurements of the structural evolution of the gel, its fluidization time, and its mechanical response under plastic flow.
Full text loading...
Most read this month