Glass rheology: From mode-coupling theory to a dynamical yield criterion

被引:120
作者
Brader, Joseph M. [2 ]
Voigtmann, Thomas [2 ,3 ,4 ]
Fuchs, Matthias [2 ]
Larson, Ronald G. [1 ,5 ]
Cates, Michael E. [1 ]
机构
[1] Univ Edinburgh, Sch Phys & Astron, Edinburgh EH9 3JZ, Midlothian, Scotland
[2] Univ Konstanz, Fachbereich Phys, D-78457 Constance, Germany
[3] Deutsch Zentrum Luft & Raumfahrt, Inst Mat Phys Weltraum, D-51170 Cologne, Germany
[4] Zukunftskolleg Univ Konstanz, D-78457 Constance, Germany
[5] Univ Michigan, Dept Chem Engn, Ann Arbor, MI 48109 USA
基金
英国工程与自然科学研究理事会;
关键词
arrest; solidification; plasticity;
D O I
10.1073/pnas.0905330106
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
070301 [无机化学]; 070403 [天体物理学]; 070507 [自然资源与国土空间规划学]; 090105 [作物生产系统与生态工程];
摘要
The mode coupling theory (MCT) of glasses, while offering an incomplete description of glass transition physics, represents the only established route to first-principles prediction of rheological behavior in nonergodic materials such as colloidal glasses. However, the constitutive equations derivable from MCT are somewhat intractable, hindering their practical use and also their interpretation. Here, we present a schematic (single-mode) MCT model which incorporates the tensorial structure of the full theory. Using it, we calculate the dynamic yield surface for a large class of flows.
引用
收藏
页码:15186 / 15191
页数:6
相关论文
共 27 条
[1]
[Anonymous], 1965, HDB PHYS
[2]
[Anonymous], 1989, The theory of polymer dynamics
[3]
Three-dimensional imaging of colloidal glasses under steady shear [J].
Besseling, R. ;
Weeks, Eric R. ;
Schofield, A. B. ;
Poon, W. C. K. .
PHYSICAL REVIEW LETTERS, 2007, 99 (02)
[4]
Diverging length scale and upper critical dimension in the Mode-Coupling Theory of the glass transition [J].
Biroli, G ;
Bouchaud, JP .
EUROPHYSICS LETTERS, 2004, 67 (01) :21-27
[5]
Dense colloidal suspensions under time-dependent shear [J].
Brader, J. M. ;
Voigtmann, Th. ;
Cates, M. E. ;
Fuchs, M. .
PHYSICAL REVIEW LETTERS, 2007, 98 (05)
[6]
First-principles constitutive equation for suspension rheology [J].
Brader, J. M. ;
Cates, M. E. ;
Fuchs, M. .
PHYSICAL REVIEW LETTERS, 2008, 101 (13)
[7]
Rheology of giant micelles [J].
Cates, M. E. ;
Fielding, S. M. .
ADVANCES IN PHYSICS, 2006, 55 (7-8) :799-879
[8]
Do current-density nonlinearities cut off the glass transition? [J].
Cates, ME ;
Ramaswamy, S .
PHYSICAL REVIEW LETTERS, 2006, 96 (13)
[9]
Connections of activated hopping processes with the breakdown of the Stokes-Einstein relation and with aspects of dynamical heterogeneities [J].
Chong, Song-Ho .
PHYSICAL REVIEW E, 2008, 78 (04)
[10]
Shear stresses of colloidal dispersions at the glass transition in equilibrium and in flow [J].
Crassous, J. J. ;
Siebenbuerger, M. ;
Ballauff, M. ;
Drechsler, M. ;
Hajnal, D. ;
Henrich, O. ;
Fuchs, M. .
JOURNAL OF CHEMICAL PHYSICS, 2008, 128 (20)