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Decoding the viscoelastic response of polydisperse star/linear polymer blends
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10.1122/1.3368729
/content/sor/journal/jor2/54/3/10.1122/1.3368729
http://aip.metastore.ingenta.com/content/sor/journal/jor2/54/3/10.1122/1.3368729

Figures

Image of FIG. 1.
FIG. 1.

Representation of the synthetic route for producing controlled star/linear polymer mixtures at large quantities.

Image of FIG. 2.
FIG. 2.

MMD determined by GPC-DRI for the three sets of samples: (a) L40k, BL40-100, (b) BL60-67, BL60-71, BL60-85, BL60-100, and (c) L90k, BL90-35, BL90-47.

Image of FIG. 3.
FIG. 3.

(a) Comparison between the MMD of sample BL60-67 measured by GPC-DRI (line) and by GPC-MALLS (symbols). (b) Comparison between the MMD of sample BL60-67 measured by GPC-DRI (line) and obtained by combining the GPC-MALLS data of the high molar mass molecules with the GPC-DRI data of the low molar mass linear chains (symbols).

Image of FIG. 4.
FIG. 4.

Average RMS gyration radius determined by GPC-MALLS for the three sets of samples: (a) blends BL40-XX obtained from L40k parent polymer, (b) blends BL60-XX, and (c) blends BL90-XX. The sample L90k has been used as linear reference.

Image of FIG. 5.
FIG. 5.

Experimental MMD of the linear parent L60k (—) and MMD of calculated double linear (◻), three-arm star polymers (●), and four-arm star polymers (☆) built from the linear parent MMD.

Image of FIG. 6.
FIG. 6.

Decomposition of the MMD of the blend BL60-67 using the GPC-DRI data of the linear parent L60k. The blend MMD (△) is measured by (a) GPC-DRI, (b) GPC-MALLS, or (c) by the combination of both GPC-MALLS and GPC-DRI data.

Image of FIG. 7.
FIG. 7.

The horizontal (, filled symbols, referred to left axis) and vertical (, empty symbols, referred to right axis) shift factors as a function of temperature for the different 1,4-PB linear polymers and star/linear blends. The reference temperature is . The solid line through the data represents the WLF fit (see text) and the dashed line through the data represents the usual temperature-density expression of Eq. (6).

Image of FIG. 8.
FIG. 8.

Extended creep curves for the set of star/linear blends with parent L90k. Experimental conditions: L90k, ; BL90-35, ; BL90-47, . The slope 1 associated with the flow region is shown for comparison.

Image of FIG. 9.
FIG. 9.

Master curves of storage and loss moduli at for (a) L40k and BL40-100, (b) BL60-67, BL60-71, and BL60-100, (BL60-85 was omitted for clarity), and (c) L90k, BL90-35, and BL90-47.

Image of FIG. 10.
FIG. 10.

(a) Inverse of the cross-over frequency: comparison between the first (Sec. ???) and second methods (Sec. ???) for the determination of blends composition. Lines represent linear fit of the data on linearized scales (standard deviations are reported in the legend). (b) Zero-shear viscosity as function of the proportion of stars (second method). Dashed lines have been drawn to guide the eyes.

Image of FIG. 11.
FIG. 11.

van Gurp–Palmen plots of the LVE data for (a) BL60-67, BL60-71, BL60-85, and BL60-100 and (b) BL40-100, BL60-67, BL60-100, BL90-35, and BL90-47. Data of the linear samples Lmono, L40k, and L90k have been added for comparison.

Image of FIG. 12.
FIG. 12.

MMD of the branches of a four-arm star polymer divided into five slices of same proportion (by the dashed lines). Each of these slices is represented by its average molar mass in weight (see the continuous lines).

Image of FIG. 13.
FIG. 13.

Comparison between predicted and experimental storage and loss moduli of the blend BL60-67 by considering (continuous lines) or not (dashed lines) the “solvent” effect coming from reptation of the linear chains in the fluctuations process of the star molecules.

Image of FIG. 14.
FIG. 14.

Storage and loss moduli. Comparison between predictions (—) and experimental data for (a) the linear sample LMono ( △, ◻), (b) the linear sample L40k ( ◻, △), and (c) the linear sample L90k ( ◻, △).

Image of FIG. 15.
FIG. 15.

Storage and loss moduli of sample BL60-67. Comparison between experimental data ( ◻, △) and predictions (—) based on the blend composition found from (a) the GPC-DRI data: 42% of linear chains, 6.6% of double linear chains, 13.6% of three-arm stars, and 37.8% of four-arm stars, (b) the GPC-MALLS data: 20.4% of linear chains, 33.5% of double linear chains, 0% of three-arm stars, and 46.1% of four-arm stars, and (c) the combination of GPC-DRI and GCP-MALLS data: 40% of linear chains, 8.3% of double linear chains, 8.5% of three-arm stars, and 43.3% of four-arm stars.

Image of FIG. 16.
FIG. 16.

Storage and loss moduli. Comparison between predictions (—) and experimental data ( ◻, △) for (a) the blend BL60-71 [with and without (---) considering the reptation of the three-arm stars]. Its composition is of (linear, double linear, three-arm, four-arm) 31.5%, 5.8%, 34%, 28,7%, (b) the blend BL60-85 with a composition of 19.8%, 0%, 43.6%, 36.6%, (c) the blend BL60-100 with a composition of 5.7%, 12.6%, 61.8%, 20.9%, (d) the blend BL90-35 with a composition of 71.7%, 1.5%, 10.2%, 16.6%, (e) the blend BL90-47 with a composition of 47%, 11.5%, 18.7%, 22.8%, (f) the blend BL40-100 with a composition of 0%, 45.35%, 51.45%, 3.2%.

Tables

Generic image for table
TABLE I.

Molecular characteristics of the linear polymers used.

Generic image for table
TABLE II.

Molecular characteristics of the star/linear polymer blends used.

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/content/sor/journal/jor2/54/3/10.1122/1.3368729
2010-05-03
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Decoding the viscoelastic response of polydisperse star/linear polymer blends
http://aip.metastore.ingenta.com/content/sor/journal/jor2/54/3/10.1122/1.3368729
10.1122/1.3368729
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