IMPLEMENTATION AND PRACTICAL APPLICATION OF NON-EQUIVALENT BIAXIAL MEASUREMENTS FOR HYPERELASTIC MATERIALS

Proceedings of 41st Danubia-Adria Symposium Advances in Experimental Mechanics (pp. 7-8)

 

AUTOR(I) / AUTHOR(S): Kristóf Havasi , Attila Kossa

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DOI:  10.46793/41DAS2025.007H

UVOD / INTRODUCTION:

In the case of hyperelastic material models, it is not possible to reliably fit the parameters of the constitutive model to general load cases from a single set of uniaxial measurements. In order to obtain a more accurate model, different measurements are used, but these are very complex and difficult to perform in most cases.
The most commonly used measurement datasets for fitting are data from uniaxial and biaxial tensile tests and constrained uniaxial loading (planar tension), but due to the complexity of the measurement implementation, fitting is often done with less data. It can be seen that the stress-strain relationship obtained for the uniaxial and equibiaxial test cases envelops the case of planar tension from two sides, the application of which helps to define a better material model. Treloar’s dataset also describes three different cases of experiments, in which the results of these tensile experiments were analysed. However, if we perform biaxial measurements and can control the displacements along the two axes independently, we may be able to generate a new dataset that is neither uniaxial nor equibiaxial measurement data, this dataset describes an intermediate state. This way, we are also able to make other types of measurements in the same measurement setup, which can lead to a more accurate result when fitting a material model.

KLJUČNE REČI / KEYWORDS:

PROJEKAT / ACKNOWLEDGEMENT:

This research was supported by the Hungarian National Research, Development and Innovation Office (FK 142457). This research was supported by the János Bolyai Research Scholarship of the Hungarian Academy of Sciences. The project supported by the Doctoral Excellence Fellowship Programme (DCEP) / University Research Scholarship Programme (URSP) is funded by the National Research Development and Innovation Fund of the Ministry of Culture and Innovation and the Budapest University of Technology and Economics, under a grant agreement with the National Research, Development and Innovation Office.

LITERATURA / REFERENCES:

  • Treloar, Leslie RG. Stress-strain data for vulcanised rubber under various types of deformation. RUBBER CHEM TECHNOL, 1944, 17.4 : 813-825.
  • Havasi, K., Kossa, A. Development of a new hyperelastic constitutive model and implementation in a finite element software. In: OGÉT 2023: XXXI
    International Conference on Mechanical Engineering, Timisoara, 27-30 Apr., 2023.
  • Havasi, K., Kossa, A. A novel approach to calculating the equibiaxial stress response from biaxial tests with non-homogeneous deformations J STRAIN ANAL ENG, 2025.
  • Havasi, K., Kossa, A. Estimating equibiaxial stress-strain relation based on non-homogeneous biaxial measurement. J THEOR APPL MECH, 2025.