Rheophysics of pastes: a review of microscopic modelling approaches.

Pastes are materials intermediate between solids and liquids which are of great practical interest as they keep the shape they have been given. Despite their various internal structures it is possible to draw up a generic rheophysical scheme from which one qualitatively understands, from a physical point of view, their main mechanical characteristics, solid regime, solid-liquid transition, liquid regime, thixotropy and aging. Here we review in detail these different properties as they are generally observed with most pasty materials and the attempts to describe them using microscopic structure-based theoretical models. For real systems a unified, qualitative, conceptual description is provided. For some model systems (, foams, colloidal gels…) there exist consistent microscopic approaches providing quantitative relationships between rheological parameters in the solid regime and physical parameters of the system. For the liquid regime and thixotropy the situation is more complex.

[1]  Philippe Coussot,et al.  Flow instability and shear localization in a drilling mud , 2006 .

[2]  E. Toorman Modelling the thixotropic behaviour of dense cohesive sediment suspensions , 1997 .

[3]  M. Cloître,et al.  Glassy dynamics and flow properties of soft colloidal pastes. , 2003, Physical review letters.

[4]  R. Höhler,et al.  Is the yield stress of aqueous foam a well-defined quantity? , 2005 .

[5]  L. Silbert,et al.  THE RHEOLOGY AND MICROSTRUCTURE OF CONCENTRATED, AGGREGATED COLLOIDS , 1999 .

[6]  Jan Mewis,et al.  Shear thickening in polymer stabilized colloidal dispersions , 2005 .

[7]  Philippe Coussot,et al.  Avalanche behavior in yield stress fluids. , 2002, Physical review letters.

[8]  J. Stickel,et al.  FLUID MECHANICS AND RHEOLOGY OF DENSE SUSPENSIONS , 2001 .

[9]  J. Mewis,et al.  Thixotropy : Build-up and breakdown curves during flow , 2005 .

[10]  M. Argentina,et al.  Interface instability in shear-banding flow. , 2006, Physical review letters.

[11]  T. Chelidze,et al.  Experimental investigation of the elastic modulus of a fractal system—A model of fractured rocks , 1990 .

[12]  Christophe Lanos,et al.  Identification of Bingham fluid flow parameters using a simple squeeze test , 2006 .

[13]  J. Berret,et al.  Insight in shear banding under transient flow. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  J. Piau,et al.  Flow of colloidal aqueous silica dispersions , 1994 .

[15]  D. De Kee,et al.  Modelling steady and transient rheological properties , 1996 .

[16]  Velocity profiles in shear-banding wormlike micelles. , 2002, Physical review letters.

[17]  P. Pusey,et al.  Yielding and flow of sheared colloidal glasses , 2004 .

[18]  R. Bonnecaze,et al.  Slip and flow in soft particle pastes. , 2004, Physical review letters.

[19]  Antoinette Tordesillas,et al.  The link between discrete and continuous modeling of liquid foam at the level of a single bubble , 2005 .

[20]  D. Durian,et al.  Vanishing elasticity for wet foams: Equivalence with emulsions and role of polydispersity , 1999 .

[21]  Howard A. Barnes,et al.  The yield stress myth? , 1985 .

[22]  S. Manley,et al.  Time-dependent strength of colloidal gels. , 2005, Physical review letters.

[23]  M. Solomon,et al.  Direct visualization of flow-induced microstructure in dense colloidal gels by confocal laser scanning microscopy , 2003 .

[24]  P. Callaghan,et al.  Two-Phase Shear Band Structures at Uniform Stress , 1997 .

[25]  J. Bouchaud,et al.  Models of traps and glass phenomenology , 1996, cond-mat/9601012.

[26]  G. Midi,et al.  On dense granular flows , 2003, The European physical journal. E, Soft matter.

[27]  F. Bertrand,et al.  Coexistence of liquid and solid phases in flowing soft-glassy materials. , 2002, Physical review letters.

[28]  Robert C. Armstrong,et al.  Rheology of foams: I. Theory for dry foams , 1986 .

[29]  D. Cheng,et al.  Characterisation of thixotropy revisited , 2003 .

[30]  J. Oldroyd A rational formulation of the equations of plastic flow for a Bingham solid , 1947, Mathematical Proceedings of the Cambridge Philosophical Society.

[31]  P. Coussot,et al.  Rheophysical classification of concentrated suspensions and granular pastes , 1999 .

[32]  J. W. Goodwin,et al.  Viscoelastic properties of concentrated latices. Part 2.—Theoretical analysis , 1982 .

[33]  P. Coussot,et al.  Abrupt transition from viscoelastic solidlike to liquidlike behavior in jammed materials. , 2004, Physical review letters.

[34]  A. Ajdari,et al.  Aging and nonlinear rheology in suspensions of polyethylene oxide-protected silica particles. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[35]  I. D. Evans,et al.  Letter to the editor: On the nature of the yield stress , 1992 .

[36]  Durian,et al.  Shear-Induced "Melting" of an Aqueous Foam. , 1999, Journal of colloid and interface science.

[37]  D. Quemada Rheological modelling of complex fluids: IV: Thixotropic and “thixoelastic” behaviour. Start-up and stress relaxation, creep tests and hysteresis cycles , 1999 .

[38]  P. Sollich,et al.  Aging and rheology in soft materials , 1999 .

[39]  H. M. Princen,et al.  Rheology of foams and highly concentrated emulsions: IV. An experimental study of the shear viscosity and yield stress of concentrated emulsions , 1989 .

[40]  F. Lequeux,et al.  MODE-COUPLING THEORY FOR THE PASTY RHEOLOGY OF SOFT GLASSY MATERIALS , 1998 .

[41]  Andreas N. Alexandrou,et al.  Thixotropic rheology of semisolid metal suspensions , 2001 .

[42]  A. Kraynik,et al.  Foam rheology: a model of viscous phenomena , 1987 .

[43]  P. Callaghan,et al.  NMR velocimetry studies of the steady-shear rheology of a concentrated hard-sphere colloidal system , 2005, The European physical journal. E, Soft matter.

[44]  François Bertrand,et al.  Rheological behavior of cement pastes from MRI velocimetry , 2005 .

[45]  J. Schurz A YIELD VALUE IN A TRUE SOLUTION , 1992 .

[46]  L. Schwartz,et al.  A theory of extensional viscosity for flowing foams and concentrated emulsions , 1987 .

[47]  C. Tiu,et al.  The shear-induced solid–liquid transition in yield stress materials with chemically different structures , 2005 .

[48]  P. Coussot,et al.  Aging and solid or liquid behavior in pastes , 2006 .

[49]  Peter Sollich,et al.  Rheology of Soft Glassy Materials , 1996, cond-mat/9611228.

[50]  L. Cipelletti,et al.  Jamming phase diagram for attractive particles , 2001, Nature.

[51]  John F. Brady,et al.  Microstructure of strongly sheared suspensions and its impact on rheology and diffusion , 1997, Journal of Fluid Mechanics.

[52]  G. Batchelor,et al.  The stress system in a suspension of force-free particles , 1970, Journal of Fluid Mechanics.

[53]  A. A. Bent,et al.  Numerical simulation of inelastic frictional spheres in simple shear flow , 1994, Journal of Fluid Mechanics.

[54]  Mellema,et al.  Elasticity of weakly aggregating polystyrene latex dispersions. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[55]  W. Russel,et al.  Characteristics of flocculated silica dispersions , 1991 .

[56]  G. Batchelor,et al.  The determination of the bulk stress in a suspension of spherical particles to order c2 , 1972, Journal of Fluid Mechanics.

[57]  W.J. Chen,et al.  The links-nodes-blobs model for shear-thinning-yield-stress fluids , 1999 .

[58]  P. G. de Gennes,et al.  On a relation between percolation theory and the elasticity of gels , 1976 .

[59]  Rheological constitutive equation for a model of soft glassy materials , 1997, cond-mat/9712001.

[60]  P. Mills,et al.  I. Rheology of Weakly Flocculated Suspensions of Rigid Particles , 1996 .

[61]  Jan Mewis,et al.  Yield stress and thixotropy: on the difficulty of measuring yield stresses in practice. , 2006, Soft matter.

[62]  G. Ovarlez,et al.  Local determination of the constitutive law of a dense suspension of noncolloidal particles through magnetic resonance imaging , 2005, cond-mat/0509336.

[63]  Robert D. Spaans,et al.  Letter to the Editor: At last, a true liquid‐phase yield stress , 1995 .

[64]  G. H. Meeten,et al.  Vane rheometry of bentonite gels , 1991 .

[65]  F. Bertrand,et al.  Direct determination by nuclear magnetic resonance of the thixotropic and yielding behavior of suspensions , 2002 .

[66]  Rejuvenation and overaging in a colloidal glass under shear. , 2002, Physical review letters.

[67]  P. Callaghan,et al.  Fluctuations in shear-banded flow seen by NMR velocimetry , 2003 .

[68]  I. Webman,et al.  Elastic Properties of Random Percolating Systems , 1984 .

[69]  Jean-Michel Piau,et al.  Thixotropic colloidal suspensions and flow curves with minimum: Identification of flow regimes and rheometric consequences , 1996 .

[70]  D. Kee,et al.  Rheological properties of structured fluids , 1994 .

[71]  J. S. Chong,et al.  Rheology of concentrated suspensions , 1971 .

[72]  N. Uriev,et al.  Fractal models in rheology of colloidal gels , 1996 .

[73]  D. Ende,et al.  MICRORHEOLOGICAL MODELING OF WEAKLY AGGREGATED DISPERSIONS , 1995 .

[74]  D. Durian,et al.  Foam mechanics at the bubble scale. , 1995, Physical review letters.

[75]  H. Usui A thixotropy model for coal-water mixtures , 1995 .

[76]  Shih,et al.  Scaling behavior of the elastic properties of colloidal gels. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[77]  J. Hartnett,et al.  Technical note: The yield stress—An engineering reality , 1989 .

[78]  D. Bonn,et al.  Ageing, shear rejuvenation and avalanches in soft glassy materials , 2004 .

[79]  J. Vermant,et al.  Flow-induced structure in colloidal suspensions , 2005 .

[80]  M. Vignes-Adler,et al.  Dynamics of yielding observed in a three-dimensional aqueous dry foam. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[81]  D. Weitz,et al.  Yielding and flow of monodisperse emulsions , 1996 .

[82]  C. Will,et al.  Weak Interactions and Etvs Experiments , 1976 .

[83]  Coussot Structural Similarity and Transition from Newtonian to Non-Newtonian Behavior for Clay-Water Suspensions. , 1995, Physical review letters.

[84]  A. Acrivos,et al.  The shear-induced migration of particles in concentrated suspensions , 1987, Journal of Fluid Mechanics.

[85]  Thomas J. Dougherty,et al.  A Mechanism for Non‐Newtonian Flow in Suspensions of Rigid Spheres , 1959 .

[86]  Jeffrey J. Gray,et al.  Rheology and dynamics of sheared arrays of colloidal particles , 1998 .

[87]  Yielding and flow in adhesive and nonadhesive concentrated emulsions. , 2006, Physical review letters.

[88]  Wessel,et al.  Fractal aggregates and gels in shear flow. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[89]  A spatio-temporal study of rheo-oscillations in a sheared lamellar phase using ultrasound , 2003, The European physical journal. E, Soft matter.

[90]  Carol A. Schnepper,et al.  Foam Rheology: III. Measurement of Shear Flow Properties , 1988 .

[91]  P. Coussot,et al.  Rheology of concentrated dispersed systems in a low molecular weight matrix , 1993 .

[92]  R. Byron Bird,et al.  The Rheology and Flow of Viscoplastic Materials , 1983 .

[93]  P. Atten,et al.  Correlation between Electrical and Rheological Properties of Electrorheological Fluids , 1996 .

[94]  C. Zukoski,et al.  Viscoelastic properties of colloidal gels , 1997 .

[95]  Fumio Oosawa,et al.  On Interaction between Two Bodies Immersed in a Solution of Macromolecules , 1954 .

[96]  R. Armstrong,et al.  Rheology of foams: II. Effects of polydispersity and liquid viscosity for foams having gas fraction approaching unity , 1987 .

[97]  L. Leibler,et al.  Rheological aging and rejuvenation in microgel pastes , 2000, Physical review letters.

[98]  Andrea J. Liu,et al.  Nonlinear dynamics: Jamming is not just cool any more , 1998, Nature.

[99]  M. Cates,et al.  Linear Shear Rheology of Incompressible Foams , 1995 .

[100]  Howard A. Barnes,et al.  The yield stress—a review or ‘παντα ρει’—everything flows? , 1999 .

[101]  C. Tsenoglou Scaling concepts in suspension rheology , 1990 .

[102]  H. M. Princen,et al.  Rheology of foams and highly concentrated emulsions , 1983 .

[103]  Daniel Bonn,et al.  Viscosity bifurcation in granular materials, foams, and emulsions. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[104]  D. Cheng Yield stress: A time-dependent property and how to measure it , 1986 .

[105]  Mason,et al.  Elasticity of Compressed Emulsions. , 1995, Physical review letters.

[106]  Gianni Astarita,et al.  Letter to the Editor: The engineering reality of the yield stress , 1990 .