Transient stress evolution in repulsion and attraction dominated glasses

Journal of Rheology

Volumn 58, Issue 5, 2014, Pages 1191-1217

  Amann, Christian P ^a   Fuchs, Matthias ^a  

^a UNIVERSITY OF KONSTANZ   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSIONS; GLASS TRANSITION; SHEAR FLOW; STRESS-STRAIN CURVES;

BOND FORMATION; COLLOIDAL DISPERSION; LINEAR ELASTIC RESPONSE; MODE COUPLING THEORY; MODEL DISPERSION; STATIC STRUCTURE FACTORS; STRESS RELEASE; TRANSIENT STRESS;

GLASS;

EID: 84906673355     PISSN: 01486055     EISSN: 15208516     Source Type: Journal    
DOI: 10.1122/1.4881256     Document Type: Article

References (50)

1. Amann, C. P., F. Weysser, M. Fuchs, M. Siebenbürger, M. Ballauff, and M. Krüger, " Overshoots in stress strain curves: Colloid experiments and schematic mode coupling theory," J. Rheol. 57, 149-175 (2013). 10.1122/1.4764000
2. Ballauff, M., J. M. Brader, S. U. Egelhaaf, M. Fuchs, J. Horbach, N. Koumakis, M. Krüger, M. Laurati, K. J. Mutch, G. Petekidis, M. Siebenbürger, Th. Voigtmann, and J. Zausch, " Residual stresses in glasses," Phys. Rev. Lett. 110, 215701 (2013). 10.1103/PhysRevLett.110. 215701
3. Baxter, R. J., " Ornstein-Zernike relation and Percus-Yevick approximation for fluid mixtures," J. Chem. Phys. 52, 4559-4562 (1970). 10.1063/1.1673684
4. Bergenholtz, J., and M. Fuchs, " Nonergodicity transitions in colloidal suspensions with attractive interactions," Phys. Rev. E 59, 5706-5715 (1999). 10.1103/PhysRevE.59.5706 (Pubitemid 129690399)
5. Bergenholtz, J., M. Fuchs, and Th. Voigtmann, " Colloidal gelation and non-ergodicity transitions," J. Phys.: Condens. Matter 12, 6575-6583 (2000). 10.1088/0953-8984/12/29/329
6. Bergenholtz, J., W. C. K. Poon, and M. Fuchs, " Gelation in model colloid-polymer mixtures," Langmuir 19, 4493-4503 (2003). 10.1021/la0340089
7. Brader, J. M., M. E. Cates, and M. Fuchs, " First-principles constitutive equation for suspension rheology," Phys. Rev. E 86, 021403 (2012). 10.1103/PhysRevE.86.021403
8. Brader, J. M., Th. 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
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 (Pubitemid 351770647)
10. Dawson, K., G. Foffi, M. Fuchs, W. Götze, F. Sciortino, M. Sperl, P. Tartaglia, Th. Voigtmann, and E. Zaccarelli, " Higher-order glass-transition singularities in colloidal systems with attractive interactions," Phys. Rev. E 63, 011401 (2000). 10.1103/PhysRevE.63.011401
11. Eckert, T., and E. Bartsch, " Re-entrant glass transition in a colloid-polymer mixture with depletion attractions," Phys. Rev Lett. 89, 125701 (2002). 10.1103/PhysRevLett.89.125701
12. Fabbian, L., W. Götze, F. Sciortino, P. Tartaglia, and F. Thiery, " Ideal glass-glass transitions and logarithmic decay of correlations in a simple system," Phys. Rev. E 59, R1347-R (1999). 10.1103/PhysRevE.59.R1347
13. Farage, T. F. F., J. Reinhardt, and J. M. Brader, " Normal-stress coefficients and rod climbing in colloidal dispersions," Phys. Rev. E 88, 042303 (2013). 10.1103/PhysRevE.88.042303
14. Franosch, T., M. Fuchs, W. Götze, M. R. Mayr, and A. P. Singh, " Asymptotic laws and preasymptotic correction formulas for the relaxation near glass-transition singularities," Phys. Rev. E 55, 7153-7176 (1997). 10.1103/PhysRevE.55.7153 (Pubitemid 127736414)
15. 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
16. 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
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. Gadala-Maria, F., and A. Acrivos, " Shear-induced structure in a concentrated suspension of solid spheres," J. Rheol. 24, 799-814 (1980). 10.1122/1.549584 (Pubitemid 11465299)
19. Gibaud, T., F. Cardinaux, J. Bergenholtz, A. Stradner, and P. Schurtenberger, " Phase separation and dynamical arrest for particles interacting with mixed potentials-the case of globular proteins revisited," Soft Matter 7, 857-860 (2011). 10.1039/c0sm01175d
20. Götze, W., Complex Dynamics of Glass-Forming Liquids-A Mode-Coupling Theory (Oxford University Press, New York (2009).
21. Götze, W., and M. Sperl, " Logarithmic relaxation in glass-forming systems," Phys. Rev. E 66, 011405 (2002). 10.1103/PhysRevE.66.011405 (Pubitemid 40598979)
22. 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
23. Hansen, J., and I. McDonald, Theory of Simple Liquids, 3rd ed. (Academic, London, 2009).
24. Henrich, O., F. Weysser, M. E. Cates, and M. Fuchs, " Hard discs under steady shear: Comparison of Brownian dynamics simulations and mode coupling theory," Phil. Trans. R. Soc. A 367, 5033-5050 (2009). 10.1098/rsta.2009.0191
25. Hunter, G. L., and E. R. Weeks, " The physics of the colloidal glass transition," Rep. Prog. Phys 75, 066501 (2012). 10.1088/0034-4885/75/6/ 066501
26. Kim, J. M., J. Fang, A. P. R. Eberle, R. Castaneda-Priego, and N. J. Wagner, " Gel transition in adhesive hard-sphere colloidal dispersions: The role of gravitational effects," Phys. Rev. Lett. 110, 208302 (2013). 10.1103/PhysRevLett.110.208302
27. Koumakis, N., and G. Petekidis, " Two step yielding in attractive colloids: Transition from gels to attractive glasses," Soft Matter 7, 2456-2470 (2011). 10.1039/c0sm00957a
28. 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
29. 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
30. 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
31. Lekkerkerker, H., W. Poon, P. Pusey, A. Stroobants, and P. Warren, " Phase behaviour of colloid + polymer mixtures," Europhys. Lett. 20, 559-564 (1992). 10.1209/0295-5075/20/6/015
32. Lindemann, F. A., " Über die Berechnung molekularer Eigenfrequenzen," Physik. Z. 11, 609-612 (1910).
33. Lu, P. J., E. Zaccarelli, F. Ciulla, A. B. Schofield, F. Sciortino, and D. A. Weitz, " Gelation of particles with short-range attraction," Nature 453, 499-503 (2008). 10.1038/nature06931 (Pubitemid 351733318)
34. Miyazaki, K., D. R. Reichman, and R. Yamamoto, " Supercooled liquids under shear: Theory and simulation," Phys. Rev. E 70, 011501 (2004). 10.1103/PhysRevE.70.011501
35. 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 (Pubitemid 40618478)
36. Pham, K. N., A. M. Puertas, J. Bergenholtz, S. U. Egelhaaf, A. Moussaid, P. N. Pusey, A. B. Schofield, M. E. Cates, M. Fuchs, and W. C. K. Poon, " Multiple glassy states in a simple model system," Science 296, 104-106 (2002). 10.1126/science.1068238 (Pubitemid 34280067)
37. Pham, K. N., G. Petekidis, D. Vlassopoulos, S. U. Egelhaaf, P. N. Pusey, and W. C. K. Poon, " Yielding of colloidal glasses," Europhys. Lett. 75, 624-630 (2006). 10.1209/epl/i2006-10156-y (Pubitemid 44328280)
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 (Pubitemid 351357555)
39. Priya, M., and Th. Voigtmann, " Nonlinear rheology of dense colloidal systems with short-ranged attraction: A mode-coupling theory analysis," J. Rheol. 58, 1163-1187 (2014). 10.1122/1.4871474
40. Puertas, A. M., C. D. Michele, F. Sciortino, P. Tartaglia, and E. Zaccarelli, " Viscoelasticity and stokes-Einstein relation in repulsive and attractive colloidal glasses," J. Chem. Phys. 127, 144906 (2007). 10.1063/1.2772628 (Pubitemid 47569047)
41. Puertas, A. M., M. Fuchs, and M. E. Cates, " Comparative simulation study of colloidal gels and glasses," Phys. Rev. Lett. 88, 098301 (2002). 10.1103/PhysRevLett.88.098301
42. Pusey, P. N., and W. van Megen, " Observation of a glass transition in suspensions of spherical colloidal particles," Phys. Rev. Lett. 59, 2083-2086 (1987). 10.1103/PhysRevLett.59.2083
43. 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
44. Siebenbürger, M., M. Fuchs, and M. Ballauff, " Viscoelasticity and shear flow of concentrated, noncrystallizing colloidal suspensions: Comparison with mode-coupling theory," Soft Matter 8, 4014-4024 (2012). 10.1039/c2sm07011a
45. Sutherland, W., " Dynamical theory of diffusion for non-electrolytes and the molecular mass of albumin," Philos. Mag. 9, 781-785 (1905). 10.1080/14786440509463331
46. van Megen, W., and S. M. Underwood, " Glass transition in colloidal hard spheres: Mode-coupling theory analysis," Phys. Rev. Lett. 70, 2766-2769 (1993). 10.1103/PhysRevLett.70.2766
47. Voigtmann, Th., 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
48. Willenbacher, N., J. S. Vesaratchanon, O. Thorwarth, and E. Bartsch, " An alternative route to highly concentrated, freely flowing colloidal dispersions," Soft Matter 7, 5777-5788 (2011). 10.1039/c1sm05200d
49. Zaccarelli, E., and W. C. K. Poon, " Colloidal glasses and gels: The interplay of bonding and caging," Proc. Natl. Acad. Sci. U.S.A. 106, 15203-15208 (2009). 10.1073/pnas.0902294106
50. Zausch, J., J. Horbach, M. Laurati, S. U. Egelhaaf, J. M. Brader, Th. 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