Optimal Experimental Design for Repeatable Hyperelastic Material Characterization

Amirreza Asadi; Kaveh Laksari

doi:10.1016/j.jmbbm.2025.107104

Journal of the Mechanical Behavior of Biomedical Materials · 2025

Optimal Experimental Design for Repeatable Hyperelastic Material Characterization

Amirreza Asadi · Kaveh Laksari

Journal of the Mechanical Behavior of Biomedical Materials (2025). DOI: 10.1016/j.jmbbm.2025.107104.

Publisher / DOI Cite this paper Code

Abstract

Reliable identification of hyperelastic material parameters is essential for modeling the mechanical behavior of materials, including biological tissues. Yet experimental configurations often lack quantitative design guidelines, which can produce high variance and poor reproducibility. This work introduces a stress–material Jacobian framework for selecting the loading mode, loading level, and number of experiments used in hyperelastic material characterization.

By analyzing the determinant and condition number of the Jacobian that relates stress space to material-parameter space, the framework identifies experimental configurations that reduce sensitivity to noise, improve robustness, and limit the number of required tests. The approach is demonstrated for Neo-Hookean, Mooney–Rivlin, and Ogden models under multiple loading conditions, and the results show improved parameter-identification reproducibility and robustness to measurement uncertainty.

Key contributions

Introduces the stress–material Jacobian as a quantitative measure of experimental information content.
Optimizes loading mode, deformation level, and measurement count for hyperelastic parameter identification.
Uses determinant and conditioning metrics to distinguish robust configurations from noise-sensitive ones.
Demonstrates the framework for Neo-Hookean, Mooney–Rivlin, and Ogden constitutive models.

Method snapshot

InputsCandidate loading modes, stretch levels, and measurement sets

Information objectStress–material Jacobian and its information matrix

Design criteriaDeterminant, condition number, robustness, and reproducibility

OutputAn experimentally efficient and better-conditioned characterization protocol

Citation

Use the published DOI as the authoritative identifier.

BibTeX

@article{Asadi2025OptimalExperimentalDesign,
  author  = {Asadi, Amirreza and Laksari, Kaveh},
  title   = {Optimal Experimental Design for Repeatable Hyperelastic Material Characterization},
  journal = {Journal of the Mechanical Behavior of Biomedical Materials},
  volume  = {170},
  pages   = {107104},
  year    = {2025},
  doi     = {10.1016/j.jmbbm.2025.107104},
  url     = {https://doi.org/10.1016/j.jmbbm.2025.107104}
}