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Large deformation analysis of gellan gels
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10.1063/1.2769143
/content/aip/journal/jap/102/4/10.1063/1.2769143
http://aip.metastore.ingenta.com/content/aip/journal/jap/102/4/10.1063/1.2769143

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Stress–strain curve of a gellan gel with gellan concentration . Diamond symbols show the experimental data. The results of fitting are shown by bold solid (Mooney equation), dashed (Langevin model), dotted (BST-1), and thin solid (BST-2) lines. The results of the Mooney and the BST-2 equations are almost the same.

Image of FIG. 2.
FIG. 2.

(Color online) Stress–strain curve of a gellan gel with gellan concentration . Diamond symbols show the experimental data (the same as in Fig. 1). The results of fitting are shown by bold solid (nonaffine tube model), thin solid (slip-tube model), dotted (double-tube model), and dashed (enthalpic elasticity) lines. The results of the nonaffine tube model and the slip-tube model are almost the same.

Image of FIG. 3.
FIG. 3.

(Color online) Result of fitting by the equation. Diamond symbols show the same experimental data as in Figs. 1 and 2. The fitted curve shown by the solid line agrees remarkably well with the experiment.

Image of FIG. 4.
FIG. 4.

(Color online) Result of fitting by the BC-2 equation. Diamond symbols show the same experimental data as in Figs. 1–3. The fitted curve shown by the solid line agrees remarkably well with the experiment.

Image of FIG. 5.
FIG. 5.

(Color online) Stress–strain curve of a sucrose-containing gellan gel. The concentrations of gellan and sucrose are and , respectively. The results of fitting are shown by solid (BC-3) and dashed (BC-2) lines. The BC-3 equation reproduces the experiment satisfactorily, whereas the BC-2 equation deviates from the experiment.

Image of FIG. 6.
FIG. 6.

(Color online) Comparison of the contributions of the three terms in the equation. Diamond symbols show the same experimental data as in Figs. 1–4. The solid curve shows the fitted curve by the equation. The dashed curve is calculated with only the first term. The dotted curve is calculated with only the first two terms.

Image of FIG. 7.
FIG. 7.

(Color online) Comparison of the contributions of the three terms in the BC-2 equation. Diamond symbols show the same experimental data as in Figs. 1–4. The solid curve shows the fitted curve by the BC-2 equation. The dashed curve is calculated with only the first term. The dotted curve is calculated with only the first two terms.

Image of FIG. 8.
FIG. 8.

(Color online) Concentration dependence of the linear modulus obtained by fitting to the BC-2 equation. The solid straight line shows the result of fitting by the power law.

Image of FIG. 9.
FIG. 9.

(Color online) Concentration dependence of the coefficient divided by . This quantity describes the degree of strain hardening.

Image of FIG. 10.
FIG. 10.

(Color online) Concentration dependence of the coefficient divided by . This quantity describes the degree of strain softening.

Tables

Generic image for table
Table I.

Goodness of the fits for gellan gels. The smaller this value, the better the fit reproduced in the observation. The concentrations of gellan and sucrose in each sample are shown in the first and the second columns, respectively.

Generic image for table
Table II.

Fracture stress and strain for each concentration. The concentrations of gellan and sucrose in each sample are shown in the first and the second columns, respectively.

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/content/aip/journal/jap/102/4/10.1063/1.2769143
2007-08-20
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Large deformation analysis of gellan gels
http://aip.metastore.ingenta.com/content/aip/journal/jap/102/4/10.1063/1.2769143
10.1063/1.2769143
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