Overshoots in stress-strain curves: Colloid experiments and schematic mode coupling theory

Journal of Rheology

Volumn 57, Issue 1, 2013, Pages 149-175

  Amann, Christian P ^a   Siebenbürger, Miriam ^b   Krüger, Matthias ^c   Weysser, Fabian ^a   Ballauff, Matthias ^b,d   Fuchs, Matthias ^a  

^a UNIVERSITY OF KONSTANZ   (Germany)

^b HAHN MEITNER INSTITUT   (Germany)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^d HUMBOLDT UNIVERSITY   (Germany)

Author keywords

Colloids; Glass transition; Nonlinear rheology

Indexed keywords

ACCUMULATED STRAIN; COLLOIDAL DISPERSION; CORE-SHELL MICROGELS; DENSE FLUID; ELASTIC SHEAR MODULUS; FLOW CURVES; GLASSY STATE; HOMOGENEOUS FLOW; MODE COUPLING THEORY; NEGATIVE STRESS; NONLINEAR RHEOLOGY; START-UPS; STRAIN CURVES; STRAIN VALUES; STRESS OVERSHOOT; TIME-DEPENDENT; TRANSIENT DENSITY; TRANSIENT STRESS;

COLLOIDS; ELASTIC MODULI; EXPERIMENTS; GLASS TRANSITION; SHEAR FLOW; STRESS-STRAIN CURVES;

COMPUTER SIMULATION;

EID: 84870996030     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.4764000     Document Type: Article

References (51)

1. Bayer, M., J. M. Brader, F. Ebert, M. Fuchs, E. Lange, G. Maret, R. Schilling, M. Sperl, and J. P. Wittmer, " Dynamic glass transition in two dimensions.," Phys. Rev. E 76, 011508 (2007). 10.1103/PhysRevE.76.011508
2. Besseling, R., E. R. Weeks, A. B. Schofield, and W. C. K. Poon, " Three-dimensional imaging of colloidal glasses under steady shear.," Phys. Rev. Lett. 99, 028301 (2007). 10.1103/PhysRevLett.99.028301
3. Brader, J. M., M. E. Cates, and M. Fuchs, " First-principles constitutive equation for suspension rheology.," Phys. Rev. Lett. 101, 138301 (2008). 10.1103/PhysRevLett.101.138301
4. Brader, J. M., M. Siebenbürger, M. Ballauff, K. Reinheimer, M. Wilhelm, S. J. Frey, F. Weysser, and M. Fuchs, " Nonlinear response of dense colloidal suspensions under oscillatory shear: Mode-coupling theory and Fourier transform rheology experiments.," Phys. Rev. E 82, 061401 (2010). 10.1103/PhysRevE.82.061401
5. Brader, J. M., T. Voigtmann, M. Fuchs, R. G. Larson, and M. E. Cates, " Glass rheology: From mode-coupling theory to a dynamical yield criterion.," Proc. Natl. Acad. Sci. U.S.A. 106, 15186-15191 (2009). 10.1073/pnas.0905330106
6. Brady, J. F., and J. F. Morris, " Microstructure of strongly sheared suspensions and its impact on rheology and diffusion.," J. Fluid Mech. 348, 103-139 (1997). 10.1017/S0022112097006320
7. Chen, K., E. J. Saltzman, and K. S. Schweizer, " Molecular theories of segmental dynamics and mechanical response in deeply supercooled polymer melts and glasses.," Annu. Rev. Condens. Matter Phys. 1, 277-300 (2010). 10.1146/annurev-conmatphys-070909-104110
8. Chen, K., and K. S. Schweizer, " Theory of aging, rejuvenation, and the nonequilibrium steady state in deformed polymer glasses.," Phys. Rev. E 82, 041804 (2010). 10.1103/PhysRevE.82.041804
9. Crassous, J. J., M. Siebenbuerger, M. Ballauff, M. Drechsler, D. Hajnal, O. Henrich, and M. Fuchs, " Shear stresses of colloidal dispersions at the glass transition in equilibrium and in flow.," J. Chem. Phys. 128, 204902 (2008). 10.1063/1.2921801
10. Derec, C., G. Ducouret, A. Ajdari, and F. Lequeux, " Aging and nonlinear rheology in suspensions of polyethylene oxide-protected silica particles.," Phys. Rev. E 67, 061403 (2003). 10.1103/PhysRevE.67.061403
11. Divoux, T., C. Barentin, and S. Manneville, " Stress overshoot in a simple yield stress fluid: An extensive study combining rheology and velocimetry.," Soft Matter 7, 9335-9349 (2011). 10.1039/c1sm05740e
12. Falk, M. L., and J. S. Langer, " Deformation and failure of amorphous, solidlike materials.," Annu. Rev. Condens. Matter Phys. 2, 353-373 (2011). 10.1146/annurev-conmatphys-062910-140452
13. Fielding, S. M., P. Sollich, and M. E. Cates, " Aging and rheology in soft materials.," J. Rheol. 44, 323-369 (2000). 10.1122/1.551088
14. Fuchs, M., " Nonlinear rheological properties of dense colloidal dispersions close to a glass transition under steady shear.," Adv. Polym. Sci. 236, 55-115 (2010). 10.1007/12-2009-30
15. Fuchs, M., and M. E. Cates, " Theory of nonlinear rheology and yielding of dense colloidal suspensions.," Phys. Rev. Lett. 89, 248304 (2002). 10.1103/PhysRevLett.89.248304
16. Fuchs, M., and M. E. Cates, " Schematic models for dynamic yielding of sheared colloidal glasses.," Faraday Discuss. 123, 267-286 (2003). 10.1039/b205629a
17. Fuchs, M., and M. E. Cates, " A mode coupling theory for Brownian particles in homogeneous steady shear flow.," J. Rheol. 53, 957-1000 (2009). 10.1122/1.3119084
18. Furukawa, A., K. Kim, S. Saito, and H. Tanaka, " Anisotropic cooperative structural rearrangements in sheared supercooled liquids.," Phys. Rev. Lett. 102, 016001 (2009). 10.1103/PhysRevLett.102.016001
19. Götze, W., " Some aspects of phase-transitions described by the self-consistent current relaxation theory.," Z. Phys. B: Condens. Matter 56, 139-154 (1984). 10.1007/BF01469695
20. Götze, W., Complex Dynamics of Glass-Forming Liquids-A Mode-Coupling Theory (Oxford University Press, New York, 2009).
21. Götze, W., and L. Sjögren, " Relaxation processes in supercooled liquids.," Rep. Prog. Phys. 55, 241-376 (1992). 10.1088/0034-4885/55/3/001
22. Hajnal, D., J. M. Brader, and R. Schilling, " Effect of mixing and spatial dimension on the glass transition.," Phys. Rev. E. 80, 021503 (2009). 10.1103/PhysRevE.80.021503
23. Hajnal, D., and M. Fuchs, " Flow curves of colloidal dispersions close to the glass transition asymptotic scaling laws in a schematic model of mode coupling theory.," Eur. Phys. J. E 28, 125-138 (2009). 10.1140/epje/i2008-10361-0
24. Harmon, J. S., M. D. Demetriou, W. L. Johnson, and K. Samwer, " Anelastic to plastic transition in metallic glass-forming liquids.," Phys. Rev. Lett. 99, 135502 (2007). 10.1103/PhysRevLett.99.135502
25. Henrich, O., F. Weysser, M. E. Cates, and M. Fuchs, " Hard discs under steady shear: Comparison of Brownian dynamics simulations and mode coupling theory.," Philos. Trans. R. Soc. London, Ser. A 367, 5033-5050 (2009). 10.1098/rsta.2009.0191
26. Koumakis, N., A. Pamvouxoglou, A. S. Poulos, and G. Petekidis, " Direct comparison of the rheology of model hard and soft particle glasses.," Soft Matter 8, 4271-4284 (2012a). 10.1039/c2sm07113d
27. Koumakis, N., M. Laurati, S. U. Egelhaaf, J. F. Brady, and G. Petekidis, " Yielding of hard-sphere glasses during start-up shear.," Phys. Rev. Lett. 108, 098303 (2012b). 10.1103/PhysRevLett.108.098303
28. Krüger, M., F. Weysser, and M. Fuchs, " Tagged-particle motion in glassy systems under shear: Comparison of mode coupling theory and Brownian dynamics simulations.," Eur. Phys. J. E 34, 1-22 (2011). 10.1140/epje/i2011-11088-5
29. Krüger, M., F. Weysser, and T. Voigtmann, " From equilibrium to stedy-state dynamics after switch-on of shear.," Phys. Rev. E 81, 061506 (2010). 10.1103/PhysRevE.81.061506
30. Larson, R. G., The Structure and Rheology of Complex Fluids (Oxford University Press, New York, 1999).
31. Lindemann, F. A., " Über die Berechnung molekularer Eigenfrequenzen.," Phys. Z. 11, 609-612 (1910).
32. Maloney, C., and A. Lemaitre, " Amorphous systems in athermal, quasistatic shear.," Phys. Rev. E 74, 016118 (2006). 10.1103/PhysRevE.74. 016118
33. Manning, M. L., J. S. Langer, and J. M. Carlson, " Strain localization in a shear transformation zone model for amorphous solids.," Phys. Rev. E 76, 056106 (2007). 10.1103/PhysRevE.76.056106
34. Mansard, V., and A. Colin, " Local and non local rheology of concentrated particles.," Soft Matter 8, 4025-4043 (2012). 10.1039/c2sm25306b
35. Mewis, J., and N. J. Wagner, Colloidal Suspension Rheology (Cambridge University Press, Cambridge, 2012).
36. Moorcroft, R. L., M. E. Cates, and S. M. Fielding, " Age-dependent transient shear banding in soft glasses.," Phys. Rev. Lett. 106, 055502 (2011). 10.1103/PhysRevLett.106.055502
37. Petekidis, G., A. Moussaid, and P. Pusey, " Rearrangements in hard-sphere glasses under oscillatory shear strain.," Phys. Rev. E 66, 051402 (2002). 10.1103/PhysRevE.66.051402
38. Pham, K. N., G. Petekidis, D. Vlassopoulos, S. U. Egelhaaf, W. C. K. Poon, and P. N. Pusey, " Yielding behavior of repulsion- and attraction-dominated colloidal glasses.," J. Rheol. 52, 649-676 (2008). 10.1122/1.2838255
39. Saltzman, E. J., G. Yatsenko, and K. S. Schweizer, " Anomalous diffusion, structural relaxation and shear thinning in glassy hard sphere fluids.," J. Phys.: Condens. Matter 20, 244129 (2008). 10.1088/0953-8984/ 20/24/244129
40. Scala, A., T. Voigtmann, and C. D. Michele, " Event-driven Brownian dynamics for hard spheres.," J. Chem. Phys. 126, 134109 (2007). 10.1063/1.2719190
41. Schaertl, W., and H. Sillescu, " Brownian dynamics of polydisperse colloidal hard-spheres: Equilibrium structures and random close packings.," J. Stat. Phys. 77, 1007-1020 (1994). 10.1007/BF02183148
42. Siebenbürger, M., M. Fuchs, H. Winter, and M. Ballauff, " Viscoelasticity and shear flow of concentrated, noncrystallizing colloidal suspensions: Comparison with mode-coupling theory.," J. Rheol. 53, 707-726 (2009). 10.1122/1.3093088
43. Siebenbürger, M., M. Fuchs, and M. Ballauff, " Core-shell microgels as model colloids for rheological studies.," Soft Matter 8, 4014-4024 (2012). 10.1039/C2SM07011A
44. Spaepen, F., " Microscopic mechanism for steady-state inhomogeneous flow in metallic glasses.," Acta Metall. 25, 407-415 (1977). 10.1016/0001-6160(77)90232-2
45. Steif, P. S., F. Spaepen, and J. W. Hutchinson, " Strain localization in amorphous metals.," Acta Metall. 30, 447-455 (1982). 10.1016/0001-6160(82)90225-5
46. Tsamados, M., A. Tanguy, C. Goldenberg, and J.-L. Barrat, " Local elasticity map and plasticity in a model Lennard-Jones glass.," Phys. Rev. E 80, 026112 (2009). 10.1103/PhysRevE.80.026112
47. Varnik, F., L. Bocquet, and J. L. Barrat, " A study of the static yield stress in a binary Lennard-Jones glass.," J. Chem. Phys. 120, 2788-2801 (2004). 10.1063/1.1636451
48. Voigtmann, T., J. M. Brader, M. Fuchs, and M. E. Cates, " Schematic mode coupling theory of glass rheology: Single and double step strains.," Soft Matter 8, 4244-4254 (2012). 10.1039/c2sm06891e
49. Weysser, F., and D. Hajnal, " Tests of mode-coupling theory in two dimensions.," Phys. Rev. E 83, 041503 (2011). 10.1103/PhysRevE.83.041503
50. Zausch, J., and J. Horbach, " The build-up and relaxation of stresses in a glass-forming soft-sphere mixture under shear: A computer simulation study.," Europhys. Lett. 88, 60001 (2009). 10.1209/0295-5075/88/ 60001
51. Zausch, J., J. Horbach, M. Laurati, S. U. Egelhaaf, J. M. Brader, T. Voigtmann, and M. Fuchs, " From equilibrium to steady state: The transient dynamics of colloidal liquids under shear.," J. Phys.: Condens. Matter 20, 404210 (2008). 10.1088/0953-8984/20/40/404210