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Analysis of medium amplitude oscillatory shear data of entangled linear and model comb polymers
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10.1122/1.3553031
/content/sor/journal/jor2/55/3/10.1122/1.3553031
http://aip.metastore.ingenta.com/content/sor/journal/jor2/55/3/10.1122/1.3553031

Figures

Image of FIG. 1.
FIG. 1.

(a) Linear viscoelastic data (, open symbols, and , closed symbols) for nearly monodisperse linear PS at . Continuous lines indicate fit by use of discrete relaxation spectra given in Table I. (b) Linear viscoelastic data (, open symbols, and , closed symbols) for nearly monodisperse comb samples at . Continuous lines indicate fit by use of discrete relaxation spectra given in Table II. For clarity, data of C642 and C632 are shifted vertically by factors of 100 and 10, respectively. (c) Weight average relaxation time and Rouse stretch relaxation time as functions of molar mass M according to Eq. (1) for linear PS melts at . Lines indicate slopes of 3.3 and 2.

Image of FIG. 2.
FIG. 2.

(a) Apparent nonlinearity as a function of strain amplitude for linear and comb PS samples at various frequencies. (b) Apparent intrinsic nonlinearity as a function of strain amplitude. Reprinted with permission from K. Hyun and M. Wilhelm, Macromolecules 42, 411 (2009). Copyright ©2009, American Chemical Society.

Image of FIG. 3.
FIG. 3.

Comparison between experimental data (symbols) of true intrinsic nonlinearity and predictions (lines) for monodisperse linear PS 330K at .

Image of FIG. 4.
FIG. 4.

Comparison between experimental data (symbols) of true intrinsic nonlinearity and predictions considering all relaxation modes (discontinuous line) and terminal relaxation modes (continuous line) for monodisperse linear PS 330K at .

Image of FIG. 5.
FIG. 5.

Comparison between experimental data (symbols) of true intrinsic nonlinearity and predictions considering all relaxation modes (discontinuous line) and terminal relaxation modes (continuous line) for monodisperse linear PS 220K at .

Image of FIG. 6.
FIG. 6.

Comparison between experimental data (symbols) of true intrinsic nonlinearity and predictions considering all relaxation modes (discontinuous line) and terminal relaxation modes (continuous line) for monodisperse linear PS samples at .

Image of FIG. 7.
FIG. 7.

Comparison between experimental data (symbols) of true intrinsic nonlinearity and predictions considering all relaxation modes (discontinuous line) and terminal relaxation modes (continuous line) for comb polymer C622 at .

Image of FIG. 8.
FIG. 8.

Comparison between experimental data (symbols) of true intrinsic nonlinearity and predictions considering all relaxation modes (discontinuous line) and terminal relaxation modes (continuous line) of backbone and branches for comb polymer C632 at .

Image of FIG. 9.
FIG. 9.

Comparison between experimental data (symbols) of true intrinsic nonlinearity and predictions considering all relaxation modes (discontinuous line) and terminal relaxation modes (continuous line) of backbone and branches for comb polymer C642 at .

Tables

Generic image for table
TABLE I.

Molecular characterization of linear PS samples (Hyun and Wilhelm, 2009). indicates the molecular weight. Discrete relaxation spectra, zero-shear viscosities , and steady-state compliances at . and are weight average relaxation time and Rouse stretch relaxation time according to Eq. (1). The boldfaced modes are identified as terminal modes (see text).

Generic image for table
TABLE II.

Molecular characterization of model comb PS samples (Hyun and Wilhelm, 2009). indicates the molecular weight of the backbone, indicates that of the branch, is the total molecular weight of the molecule, and is the average number of the branches per molecule. Discrete relaxation spectra, predicted zero-shear viscosities , and steady-state compliances at . The boldfaced modes are identified as the terminal modes of backbone and branches (see text).

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2011-03-09
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Analysis of medium amplitude oscillatory shear data of entangled linear and model comb polymers
http://aip.metastore.ingenta.com/content/sor/journal/jor2/55/3/10.1122/1.3553031
10.1122/1.3553031
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