Extensions of the Rouse Theory of Viscoelastic Properties to Undiluted Linear Polymers

1955 ◽  
Vol 26 (4) ◽  
pp. 359-362 ◽  
Author(s):  
John D. Ferry ◽  
Robert F. Landel ◽  
Malcolm L. Williams
Keyword(s):  
Viscoelastic Properties ◽  
Linear Polymers ◽  
Rouse Theory

Viscoelastic properties of linear polymers in the high-elastic state

1971 ◽  
Vol 9 (7) ◽  
pp. 1153-1171 ◽  
Author(s):  
G. V. Vinogradov ◽  
E. A. Dzyura ◽  
A. Ya. Malkin ◽  
V. A. Grechanovski??
Keyword(s):  
Viscoelastic Properties ◽  
Linear Polymers ◽  
Elastic State

A predictive multiscale computational framework for viscoelastic properties of linear polymers

Polymer ◽  
2012 ◽  
Vol 53 (25) ◽  
pp. 5935-5952 ◽  
Author(s):  
Ying Li ◽  
Shan Tang ◽  
Brendan C. Abberton ◽  
Martin Kröger ◽  
Craig Burkhart ◽  
...  
Keyword(s):  
Viscoelastic Properties ◽  
Linear Polymers ◽  
Computational Framework

Viscoelastic properties of linear polymers in the fluid state and their transition to the high-elastic state

1980 ◽  
Vol 20 (17) ◽  
pp. 1138-1146 ◽  
Author(s):  
G. V. Vinogradov ◽  
Yu. G. Yanovsky ◽  
L. V. Titkova ◽  
V. V. Barancheeva ◽  
S. I. Sergeenkov ◽  
...  
Keyword(s):  
Viscoelastic Properties ◽  
Linear Polymers ◽  
Elastic State ◽  
Fluid State

Viscoelastic Properties of Rubber Networks

1975 ◽  
Vol 48 (5) ◽  
pp. 981-994 ◽  
Author(s):  
P. Thirion
Keyword(s):  
Viscoelastic Properties ◽  
Dynamic Properties ◽  
Mechanical Energy ◽  
Filler Particle ◽  
Polymer Networks ◽  
Relaxation Times ◽  
Low Frequency ◽  
Linear Polymers ◽  
Approach To Equilibrium ◽  
Sinusoidal Vibration

Abstract The molecular theory of Rouse, Zimm, and Bueche correctly accounts for the viscoelastic properties of polymers in very dilute solution and, to a large extent, for those of polymers in bulk or in concentrated solution, as long as their mean molecular weight is below about 20 000. Above this MW limit, relaxation times appear which are longer than those provided for in this theory. The “viscoelastic plateau”, which then appears in the long relaxation time region of the dynamic spectrum, is ascribed to entanglements of molecular chains which behave like temporary crosslinks. An analogous phenomenon occurs in the same way in permanent polymer networks, such as rubber vulcanizates. In this case one finds abnormally slow relaxation or creep rates during the approach to equilibrium, as well as increased low-frequency mechanical energy losses under forced sinusoidal vibration. The presence of colloidal fillers, such as carbon blacks used to reinforce rubbers, also seems to increase this hysteresis within the polymer matrix, independent of thixotropic effects which result from the reversible rupture of filler particle aggregates under large-amplitude cyclic deformations. We propose to analyze here the results (obtained jointly at the Institut Français du Caoutchouc and at the laboratory of Professor J. D. Ferry, University of Wisconsin) of measurements over the entire rubbery spectrum of the dynamic properties and of stress relaxation on vulcanizates of natural rubber, cis-polybutadiene, and styrene-butadiene copolymer (SBR) in the absence of secondary crystallization or aging phenomena. Then we examine the interpretation of the behavior of these materials, both at low frequency and during the approach to equilibrium, by analogy with the theories of the “viscoelastic plateau” of linear polymers.

The viscoelastic properties of polystyrene solutions

1964 ◽  
Vol 281 (1385) ◽  
pp. 207-222 ◽  
Keyword(s):  
Molecular Weight ◽  
Viscoelastic Properties ◽  
Polymer Molecule ◽  
Viscoelastic Behaviour ◽  
Torsional Mode ◽  
Quartz Crystals ◽  
Molecular Weights ◽  
Molecular Weight Distributions ◽  
Polystyrene Sample ◽  
Rouse Theory

Quartz crystals resonant in the fundamental torsional mode at frequencies of 40 and 73 kc/s have been used to measure the viscoelastic properties of solutions of polystyrene in toluene, methylethyl ketone and cyclohexane. A monodisperse polystyrene sample of molecular weight 2.39 x 10 5 was employed. The results have been compared with those of Harrison, Lamb & Matheson (1964) for dilute solutions in toluene of a number of polystyrene samples of different molecular weights. In toluene it is found that 25 % of the contribution of the polymer to the viscosity of the solution is not able to take part in viscoelastic relaxation, and that the dynamic viscosity at high frequencies (the ‘Einstein viscosity’) is greater than the solvent viscosity. Under these conditions the viscoelastic behaviour of all the solutions in toluene of polystyrene samples of different molecular weights agrees with the predictions of the Rouse theory. From the value obtained for the Einstein viscosity of the solutions, it is shown that the radius of the equivalent hydrodynamic sphere is approximately proportional to the square root of the molecular weight of the polymer molecule. If one assumes that the radius of the equivalent hydrodynamic sphere of a given polymer molecule is the same in all solvents, then the viscoelastic behaviour of the solution in methylethyl ketone is intermediate between the predictions of the Zimm and Rouse theories. The solution in cyclohexane seems to show behaviour close to that predicted by the Zimm theory. The possibility of using such measurements to determine molecular weight distributions is discussed.

Effects of polydispersity on relaxation mechanisms and viscoelastic properties of entangled linear polymers

1988 ◽  
Vol 21 (11) ◽  
pp. 3171-3178 ◽  
Author(s):  
Kwang Sik Choi ◽  
In Jae Chung ◽  
Hee Young Kim
Keyword(s):  
Viscoelastic Properties ◽  
Linear Polymers

Viscoelastic Properties of Linear Polymers with High Molecular Weights and Sharp Molecular Weight Distributions

1978 ◽  
Vol 11 (5) ◽  
pp. 888-893 ◽  
Author(s):  
Yoshinobu Isono ◽  
Teruo Fujimoto ◽  
Naoki Takeno ◽  
Hirokazu Kajiura ◽  
Mitsuru Nagasawa
Keyword(s):  
Molecular Weight ◽  
Viscoelastic Properties ◽  
Linear Polymers ◽  
Molecular Weights ◽  
Molecular Weight Distributions ◽  
Weight Distributions

scholarly journals Viscoelastic properties of vimentin compared with other filamentous biopolymer networks.

1991 ◽  
Vol 113 (1) ◽  
pp. 155-160 ◽  
Author(s):  
P A Janmey ◽  
U Euteneuer ◽  
P Traub ◽  
M Schliwa
Keyword(s):  
Viscoelastic Properties ◽  
Intermediate Filament Protein ◽  
Linear Polymers ◽  
Cell Integrity ◽  
Interphase Cell ◽  
Shear Moduli ◽  
Lower Shear ◽  
Cytoplasmic Filaments ◽  
Filament Protein

The cytoplasm of vertebrate cells contains three distinct filamentous biopolymers, the microtubules, microfilaments, and intermediate filaments. The basic structural elements of these three filaments are linear polymers of the proteins tubulin, actin, and vimentin or another related intermediate filament protein, respectively. The viscoelastic properties of cytoplasmic filaments are likely to be relevant to their biologic function, because their extreme length and rodlike structure dominate the rheologic behavior of cytoplasm, and changes in their structure may cause gel-sol transitions observed when cells are activated or begin to move. This paper describes parallel measurements of the viscoelasticity of tubulin, actin, and vimentin polymers. The rheologic differences among the three types of cytoplasmic polymers suggest possible specialized roles for the different classes of filaments in vivo. Actin forms networks of highest rigidity that fluidize at high strains, consistent with a role in cell motility in which stable protrusions can deform rapidly in response to controlled filament rupture. Vimentin networks, which have not previously been studied by rheologic methods, exhibit some unusual viscoelastic properties not shared by actin or tubulin. They are less rigid (have lower shear moduli) at low strain but harden at high strains and resist breakage, suggesting they maintain cell integrity. The differences between F-actin and vimentin are optimal for the formation of a composite material with a range of properties that cannot be achieved by either polymer alone. Microtubules are unlikely to contribute significantly to interphase cell rheology alone, but may help stabilize the other networks.

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