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. 2024 Aug 1;16(15):2190.
doi: 10.3390/polym16152190.

Prediction of Biaxial Properties of Elastomers and Appropriate Data Processing

Jakub Javořík  1 , Rohitha Keerthiwansa  1   2 , Vladimír Pata  1 , Soňa Rusnáková  1 , Barbora Kotlánová  1 , Michal Grunt  1 , Michal Sedlačík  1
Affiliations

Prediction of Biaxial Properties of Elastomers and Appropriate Data Processing

Jakub Javořík et al. Polymers (Basel). .

Abstract

An equibiaxial tension test could be necessary to set up hyperelastic material constants for elastomers exactly. Unfortunately, very often, only uniaxial tension experimental data are available. It is possible to use only uniaxial data to compute hyperelastic constants for a hyperelastic model, but the prediction of behavior in different deformation modes (as is equibiaxial or pure shear) will not work correctly with this model. It is quite obvious that there is some relation between uniaxial and equibiaxial behavior for the elastomers. Thus, we could use uniaxial data to predict equibiaxial behavior. If we were able to predict (at least approximately) equibiaxial data, then we could create a hyperelastic model usable for the general prediction of any deformation mode of elastomer. The method of the appropriate processing of experimental data for such prediction is described in the article and is verified by the comparison with the experiment. The presented results include uniaxial and equibiaxial experimental data, the created average curve of both the deformation modes, and the predicted equibiaxial data. Using Student's t-test, a close coincidence of the real and predicted equibiaxial data was confirmed.

Keywords: curve processing; elastomer; equibiaxial tension; experimental data; hyperelasticity; uniaxial tension.

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Conflict of interest statement

The authors declare no conflicts of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript; or in the decision to publish the results.

Figures

Figure 1
Figure 1
Shape and characteristics of dumbbell test specimen (letter explanations see below in the Table 2).
Figure 2
Figure 2
Bubble inflation technique: (a) schematic representation; (b) loaded test specimen.
Figure 3
Figure 3
Bubble inflation technique—pattern on the test specimen.
Figure 4
Figure 4
Example of the experimental data processing (in general coordinates; but the same applies to the stress/strain data)—average curve determination.
Figure 5
Figure 5
Stress/strain curve of uniaxial and equibiaxial data of common elastomer.
Figure 6
Figure 6
Stress/strain uniaxial experimental data (of all ten specimens) with average curve.
Figure 7
Figure 7
Stress/strain equibiaxial experimental data (of all ten specimens) with average curve.
Figure 8
Figure 8
Sum of squares of residuals of experimental and predicted equibiaxial values S against c constant values.
Figure 9
Figure 9
Prediction of the equibiaxial data from the average uniaxial curve.
See this image and copyright information in PMC

References

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