scholarly journals Stress Relaxation of Polymer Solutions under Large Strain

1973 ◽  
Vol 5 (1) ◽  
pp. 91-96 ◽  
Author(s):  
Yoshiyuki Einaga ◽  
Kunihiro Osaki ◽  
Michio Kurata ◽  
Shin-ichi Kimura ◽  
Nobuhiro Yamada ◽  
...  
1971 ◽  
Vol 2 (4) ◽  
pp. 550-552 ◽  
Author(s):  
Yoshiyuki Einaga ◽  
Kunihiro Osaki ◽  
Michio Kurata ◽  
Shin-ichi Kimura ◽  
Mikio Tamura

1974 ◽  
Vol 5 (3) ◽  
pp. 283-287 ◽  
Author(s):  
Kunihiro Osaki ◽  
Yoshiyuki Einaga ◽  
Michio Kurata ◽  
Nobuhiro Yamada ◽  
Mikio Tamura

1982 ◽  
Vol 120 ◽  
pp. 245-266 ◽  
Author(s):  
Simon L. Goren ◽  
Moshe Gottlieb

A linearized stability analysis is carried out for the breakup of small-diameter liquid filaments of dilute polymer solutions into droplets. Oldroyd's 8-constant model expressed in a corotational reference frame is used as the rheological equation of state. The crucial idea in this theory is the recognition that the liquid may be subject to an unrelaxed axial tension due to its prior history. If the tension is zero, the present analysis predicts that jets of shear-thinning liquids are less stable than comparable jets of Newtonian liquids; this is in agreement with previous analyses. However, when the axial tension is not zero, and provided the stress relaxation time constant is sufficiently large, the new theory predicts that the axial elastic tension can be a significant stabilizing influence. With reasonable values for the tension and stress relaxation time the theory explains the great stability observed for jets of some shear- thinning, dilute polymer solutions. The theory explains why drops produced from jets of such liquids are larger than drops from corresponding Newtonian liquids. The theory also appears capable of explaining the sudden appearance of irregularly spaced bulges on jets after long distances of t,ravel with little amplification of disturbances.


1989 ◽  
Vol 62 (1) ◽  
pp. 68-81 ◽  
Author(s):  
J. L. Sullivan ◽  
K. A. Mazich

Abstract New large-strain rubber viscoelasticity results for a filled and an unfilled IIR vulcanizate and previously published results for two NR gum vulcanizates have been discussed. The data show that the “mixed” response functions of large-strain stress relaxation, and the incremental storage and relaxation moduli do not demonstrate factorizability of time and strain effects. This is a consequence of the elastic and relaxation contributions in each of the mixed functions being different. The incremental dynamic data also show that the loss modulus for the filled IIR and unfilled NR vulcanizates (unavailable for the unfilled IIR) are separable functions of time and strain. This directly shows that the relaxation spectra for the filled IIR and unfilled NR vulcanizates are independent of strain for the deformations studied. In fact, it is argued that a necessary and sufficient condition for the relaxation spectrum to be independent of strain is that the loss modulus is a factorizable function of time and strain effects. The quantitative success of the Generalized Solid-Liquid (GSL) model in representing the viscoelastic behavior of the gum NR vulcanizate has been reviewed. Although the GSL model applies only to unfilled vulcanizates, it has also been successfully used to qualitatively interpret the results for the filled IIR compounds. Both successes are attributed to the physical assumptions intrinsic to the GSL model; more specifically, 1) the relaxation spectrum is independent of the state of strain, and 2) the deformational dependences of elastic and relaxation contributions to the overall response of the system need not be the same. Physical arguments justifying these assumptions have been covered. It has also been shown with the aid of the GSL model, that a material might exist which demonstrates factorizability in stress relaxation and incremental loss modulus behaviors but nonfactorizability in the incremental storage and relaxation moduli.


1987 ◽  
Vol 20 (1) ◽  
pp. 153-156 ◽  
Author(s):  
Yoshiaki Takahashi ◽  
Yoshinobu Isono ◽  
Ichiro Noda ◽  
Mitsuru Nagasawa

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