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Constant force elongational flow of polymer melts: Experiment and modelling
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10.1122/1.4732157
/content/sor/journal/jor2/56/5/10.1122/1.4732157
http://aip.metastore.ingenta.com/content/sor/journal/jor2/56/5/10.1122/1.4732157

Figures

Image of FIG. 1.
FIG. 1.

Linear-viscoelastic data of LDPE 1840D (circles) and LDPE 3020D (triangles) at 170 °C. Storage modulus G′ (full symbols) and loss modulus G″ (open symbols). Continuous lines indicate fit by use of discrete relaxation spectrum of Table I.

Image of FIG. 2.
FIG. 2.

Hencky strain ɛ as function of time for constant force elongation with F 0 = σ 0 A 0. Broken lines represent experimental data. Continuous lines indicate predictions of Eq. (7). Engineering stress σ 0 is decreasing from left to right. (a) LDPE 3020D; (b) LDPE 1840D.

Image of FIG. 3.
FIG. 3.

Logarithm of Hencky strain ɛ as function of time for constant force elongation with F 0 = σ 0 A 0. Broken lines represent experimental data. Continuous lines indicate predictions of Eq. (7). Engineering stress σ 0 is decreasing from left to right. (a) LDPE 3020D; (b) LDPE 1840D.

Image of FIG. 4.
FIG. 4.

True stress σ as a function of time at constant tensile force deformation. Broken lines represent experimental data for LDPE 3020D. Continuous lines indicate predictions of Eq. (7). Engineering stress σ 0 is decreasing from left to right.

Image of FIG. 5.
FIG. 5.

True stress as function of strain rate for constant force elongation with F 0 = σ 0 A 0. Broken lines represent experimental data. Continuous lines indicate predictions of Eq. (7). Engineering stress σ 0 is increasing from left to right. (a) LDPE 3020D; (b) LDPE 1840D.

Image of FIG. 6.
FIG. 6.

Elongational viscosity η as a function of strain rate for constant force elongation with F 0 = σ 0 A 0. Broken lines represent experimental data. Continuous lines indicate predictions of Eq. (7). Engineering stress σ 0 is increasing from left to right. (a) LDPE 3020D; (b) LDPE 1840D.

Image of FIG. 7.
FIG. 7.

Strain rate as a function of time for constant force elongation with F 0 = σ 0 A 0. Broken lines represent experimental data. Continuous lines indicate predictions of Eq. (7). Engineering stress σ 0 is increasing from bottom to top. (a) LDPE 3020D; (b) LDPE 1840D.

Image of FIG. 8.
FIG. 8.

Elongational viscosity as a function of time for constant force elongation with F 0 = σ 0 A 0. Broken lines represent experimental data. Continuous lines indicate predictions of Eq. (7). Engineering stress σ 0 is decreasing from left to right. (a) LDPE 3020D; (b) LDPE 1840D.

Image of FIG. 9.
FIG. 9.

Elongational viscosity data (symbols) as a function of time for constant strain-rate elongation. Continuous and broken lines indicate predictions of Eq. (7) with parameters (Table II) for constant tensile force and constant strain-rate deformation modes, respectively. (a) LDPE 3020D; (b) LDPE 1840D.

Image of FIG. 10.
FIG. 10.

Damping function calculated from elongational viscosity data (symbols) according to Eq. (6). Continuous and broken lines indicate predictions of Eq. (4) with parameters (Table II) for constant tensile force and constant strain-rate deformation modes, respectively. (a) LDPE 3020D; (b) LDPE 1840D.

Image of FIG. 11.
FIG. 11.

Elongational viscosity data (symbols) as a function of time for constant strain-rate elongation. Continuous lines indicate predictions of Eq. (7) with parameters (Table II) for constant tensile force mode and engineering stresses σ 0 from 5000 to 100 000 Pa (from right to left). (a) LDPE 3020D; (b) LDPE 1840D.

Tables

Generic image for table
TABLE I.

Molecular characterization and relaxation spectrum of LDPE 1840D and LDPE 3020D obtained by dynamic shear measurement at 170 °C.

Generic image for table
TABLE II.

Nonlinear parameters fitted to constant tensile force and constant strain-rate data.

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/content/sor/journal/jor2/56/5/10.1122/1.4732157
2012-07-23
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Constant force elongational flow of polymer melts: Experiment and modelling
http://aip.metastore.ingenta.com/content/sor/journal/jor2/56/5/10.1122/1.4732157
10.1122/1.4732157
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