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On stress-relaxing solids: Part III. Simple harmonic deformation

✍ Scribed by Saul Vela; J. W. Kalb; A. G. Fredrickson


Publisher
American Institute of Chemical Engineers
Year
1965
Tongue
English
Weight
718 KB
Volume
11
Category
Article
ISSN
0001-1541

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✦ Synopsis


The viscoelasticity of a number of polymer solutions was studied by subjecting the solutions to simple harmonic displacements in a pipe. Both water-based and organic-based solutions were used. Results were analyzed in terms of a modification of the operator equation of linear viscoelasticity. A three-constant model used earlier was found to correlate most of the data. Further experiments to verify the model are suggested.

In previous papers ( 4 , 7), a quasilinear hereditary constitutive equation for incompressible materials exhibiting stress relaxation has been derived, and some properties of this equation have been discussed. The equation is

This equation and those derived from it are intended to be valid for very small strain rates only; this should be borne in mind in what follows. An experimental method for determining the relaxation function is the principal topic of this paper.