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A stretch-based model for flow-enhanced nucleation of polymer melts
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10.1122/1.3545844
/content/sor/journal/jor2/55/2/10.1122/1.3545844
http://aip.metastore.ingenta.com/content/sor/journal/jor2/55/2/10.1122/1.3545844

Figures

Image of FIG. 1.
FIG. 1.

Preferential creation of flow-induced precursors in each other’s vicinity. Left: Structure requiring a local description. Right: Structure allowing a global description.

Image of FIG. 2.
FIG. 2.

Morphology at for and .

Image of FIG. 3.
FIG. 3.

Symbols: measured uniaxial extensional viscosity of iPP2 at for different strain rates. Lines: six-mode Rolie–Poly model with three stretching modes (, , ). Dashed line: linear viscoelastic response.

Image of FIG. 4.
FIG. 4.

Number densities of precursors (dashed lines) and nuclei (solid lines) versus time and experimental number density of spherulites versus shear time (symbols) in iPP2 for at , according to the orientation-induced creation model.

Image of FIG. 5.
FIG. 5.

Evolution of orientation for the simulations in Fig. 4.

Image of FIG. 6.
FIG. 6.

Number densities of precursors (dashed lines) and nuclei (solid lines) versus time and experimental number density of spherulites versus shear time (symbols) in iPP2 for and at , according to the stretch-induced creation model with the Rouse time estimated by Eq. (2).

Image of FIG. 7.
FIG. 7.

Number densities of precursors (dashed lines) and nuclei (solid lines) versus time and experimental number density of spherulites versus shear time (symbols) in iPP2 for and at , according to the stretch-induced creation model with the Rouse time estimated by Eq. (2).

Image of FIG. 8.
FIG. 8.

Number densities of precursors (dashed lines) and nuclei (solid lines) versus time and experimental number density of spherulites versus shear time (symbols) in iPP2 for and at , according to the stretch-induced creation model with the Rouse time estimated by Eq. (2).

Image of FIG. 9.
FIG. 9.

Number densities of precursors (dashed lines) and nuclei (solid lines) versus time and experimental number density of spherulites versus shear time (symbols) in iPP2 for at , according to the stretch-induced creation model with the Rouse time estimated by Eq. (2).

Image of FIG. 10.
FIG. 10.

Number densities of precursors (dashed lines) and nuclei (solid lines) versus time and experimental number density of spherulites versus shear time (symbols) in iPP2 for and at , according to the stretch-induced creation model with the Rouse time fitted to extensional viscosity data.

Image of FIG. 11.
FIG. 11.

Number densities of precursors (dashed lines) and nuclei (solid lines) versus time and experimental number density of spherulites versus shear time (symbols) in iPP2 for and at , according to the stretch-induced creation model with the Rouse time fitted to extensional viscosity data.

Image of FIG. 12.
FIG. 12.

Number densities of precursors (dashed lines) and nuclei (solid lines) versus time and experimental number density of spherulites versus shear time (symbols) in iPP2 for and at , according to the stretch-induced creation model with the Rouse time fitted to extensional viscosity data.

Image of FIG. 13.
FIG. 13.

Number densities of precursors (dashed lines) and nuclei (solid lines) versus time and experimental number density of spherulites versus shear time (symbols) in iPP2 for at , according to the stretch-induced creation model with the Rouse time fitted to extensional viscosity data.

Image of FIG. 14.
FIG. 14.

Evolution of stretch without flow-induced precursors (solid lines) and in the simulations of Fig. 9 (dashed lines) and Fig. 13 (dash-dotted lines) for iPP2, at .

Image of FIG. 15.
FIG. 15.

Number densities of precursors (dashed lines) and nuclei (solid lines) versus time and experimental number density of spherulites versus shear time (symbols) for iPP2.

Image of FIG. 16.
FIG. 16.

Number densities of precursors (dashed lines) and nuclei (solid lines) versus time and experimental number density of spherulites versus shear time (symbols) for iPP3.

Image of FIG. 17.
FIG. 17.

Number densities of precursors (dashed lines) and nuclei (solid lines) versus time and experimental number density of spherulites versus shear time (symbols) for iPP1.

Tables

Generic image for table
TABLE I.

Slip tensors of the Giesekus [Giesekus (1982a, 1982b)], extended Pom-Pom (XPP) [Verbeeten et al. (2004)], and Rolie–Poly [Likhtman and Graham (2003)] models.

Generic image for table
TABLE II.

Properties and longest reptation and Rouse times at of the three iPPs [Housmans et al. (2009)].

Generic image for table
TABLE III.

Number densities of spherulites and presence of oriented crystallites in iPP2 after different shear histories at [Hristova et al. (2004)]. Measured growth rate and expected diameter of largest spherulites at the end of flow.

Generic image for table
TABLE IV.

Old relaxation spectrum of iPP2 at .

Generic image for table
TABLE V.

Model parameters for the three iPPs. Those at were fitted for all shear rates (Table III) at once with (top line) or (bottom line) depending on the method to estimate the Rouse time, as explained in Sec. III B.

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/content/sor/journal/jor2/55/2/10.1122/1.3545844
2011-02-04
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A stretch-based model for flow-enhanced nucleation of polymer melts
http://aip.metastore.ingenta.com/content/sor/journal/jor2/55/2/10.1122/1.3545844
10.1122/1.3545844
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