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A continuum glassy polymer model applicable to dynamic loading
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10.1063/1.4759015
/content/aip/journal/jap/112/8/10.1063/1.4759015
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/8/10.1063/1.4759015

Figures

Image of FIG. 1.
FIG. 1.

Isobars of the equilibrium specific volume as a function of temperature for a generic amorphous polymer in the vicinity of the glass transition.

Image of FIG. 2.
FIG. 2.

Equilibrium specific heat at constant pressure as a function of temperature for a generic amorphous polymer in the vicinity of the glass transition.

Image of FIG. 3.
FIG. 3.

PMMA isobars of the equilibrium Gibbs free energy density from Eq. (50).

Image of FIG. 4.
FIG. 4.

PMMA equilibrium . Selected points are from Ref. 35.

Image of FIG. 5.
FIG. 5.

PMMA equilibrium . The ambient pressure curve is from Ref. 34.

Image of FIG. 6.
FIG. 6.

Equilibrium isothermal bulk modulus for PMMA from the Eq. (55). Note that the ambient pressure, room temperature value is about 3.1 GPa.

Image of FIG. 7.
FIG. 7.

PMMA logarithm of the shear shift function, .

Image of FIG. 8.
FIG. 8.

Compressive stress-strain behavior for PMMA at a fixed strain rate of 0.01 s−1. Points are selected data from Ref. 16.

Image of FIG. 9.
FIG. 9.

Compressive stress-strain behavior for PMMA at 25 °C. Points are selected data from Ref. 16.

Image of FIG. 10.
FIG. 10.

Shock Hugoniot from Barker and Hollenbach42 and that calculated from the equilibrium EOS for PMMA.

Image of FIG. 11.
FIG. 11.

Isobar of the equilibrium and non-equilibrium specific volume as a function of temperature for a generic amorphous polymer in the vicinity of the glass transition.

Image of FIG. 12.
FIG. 12.

Bulk storage modulus for PMMA at 20 °C for M = 6 and 12 generalized Maxwell models for the volumetric response. Points are selected data from Sane and Knauss.9

Image of FIG. 13.
FIG. 13.

PMMA velocity profiles of Barker and Hollenbach42 (points) and from the model (lines). Rounding in the profiles help determine the values used for , , and in Table IV. Impact velocities are listed.

Image of FIG. 14.
FIG. 14.

Model PMMA velocity profiles for two impact velocities. Positions, measured from the impact surface, are given for the calculated profiles within the PMMA target.

Image of FIG. 15.
FIG. 15.

Model stress profiles for an impact velocity of 308.5 m/s. Locations of the profiles in the PMMA target are approximately evenly spaced between 0.4 and 13 mm.

Image of FIG. 16.
FIG. 16.

Hugoniot for PMMA measured by Barker and Hollenbach42 and Schuler43 and calculated from the present model.

Tables

Generic image for table
Table I.

Equilibrium EOS parameters for PMMA from fitting experimental and data.

Generic image for table
Table II.

Shear relaxation times and strengths for PMMA.

Generic image for table
Table III.

PMMA flow model parameters. Unless specified, parameters are dimensionless.

Generic image for table
Table IV.

Bulk relaxation times and strengths for PMMA for a M = 6 and 12 generalized Maxwell model for the volumetric response.

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/content/aip/journal/jap/112/8/10.1063/1.4759015
2012-10-19
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A continuum glassy polymer model applicable to dynamic loading
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/8/10.1063/1.4759015
10.1063/1.4759015
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