We study theoretically the role of aging in the rheology of soft materials. We define several generalized rheological response functions suited to aging samples (in which time translation invariance is lost). These are then used to study aging effects within a simple scalar model (the “soft glassy rheology” or SGR model) whose constitutive equations relate shear stress to shear strain among a set of elastic elements, with distributed yield thresholds, undergoing activated dynamics governed by a “noise temperature,” (Between yields, each element follows affinely the applied shear.) For there is a power-law fluid regime in which transients occur, but no aging. For the model has a macroscopic yield stress. So long as this yield stress is not exceeded, aging occurs, with a sample’s apparent relaxation time being of order its own age. The (age-dependent) linear viscoelastic loss modulus rises as frequency is lowered, but falls with age so as to always remain less than (which is nearly constant). Significant aging is also predicted for the stress overshoot in nonlinear shear startup and for the creep compliance. Though obviously oversimplified, the SGR model may provide a valuable paradigm for the experimental and theoretical study of rheological aging phenomena in soft solids.
Skip Nav Destination
,
,
Article navigation
March 2000
Research Article|
March 01 2000
Aging and rheology in soft materials
S. M. Fielding;
S. M. Fielding
Department of Physics and Astronomy, University of Edinburgh, JCMB, King’s Buildings, Mayfield Road, Edinburgh EH9 3JZ, Great Britain
Search for other works by this author on:
P. Sollich;
P. Sollich
Department of Mathematics, King’s College, University of London, Strand, London WC2R 2LS, Great Britain
Search for other works by this author on:
M. E. Cates
M. E. Cates
Department of Physics and Astronomy, University of Edinburgh, JCMB, King’s Buildings, Mayfield Road, Edinburgh EH9 3JZ, Great Britain
Search for other works by this author on:
S. M. Fielding
P. Sollich
M. E. Cates
Department of Physics and Astronomy, University of Edinburgh, JCMB, King’s Buildings, Mayfield Road, Edinburgh EH9 3JZ, Great Britain
J. Rheol. 44, 323–369 (2000)
Article history
Received:
July 07 1999
Citation
S. M. Fielding, P. Sollich, M. E. Cates; Aging and rheology in soft materials. J. Rheol. 1 March 2000; 44 (2): 323–369. https://doi.org/10.1122/1.551088
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
Rheo-SINDy: Finding a constitutive model from rheological data for complex fluids using sparse identification for nonlinear dynamics
Takeshi Sato, Souta Miyamoto, et al.
No yield stress required: Stress-activated flow in simple yield-stress fluids
G. Pagani, M. Hofmann, et al.
Linear viscoelasticity of nanocolloidal suspensions from probe rheology molecular simulations
Dinesh Sundaravadivelu Devarajan, Rajesh Khare
Related Content
Transient and steady shear rheology of particle-laden viscoelastic suspensions
J. Rheol. (November 2021)
Shear History Effects on Extensional Flow of Non‐Newtonian Fluids in Filament Stretching Rheometers
AIP Conf. Proc. (July 2008)
Elastoviscoplastic rheology and aging in a simplified soft glassy constitutive model
J. Rheol. (May 2020)