This repository contains code used to calibrate the deformation of hyperelastic materials simultaneously, providing accurate model predictions that closely match experimental data.
Chongran Zhao
Southern University of Science and Technology, China
Email: [email protected]
Date: September 9, 2024
- Experimental Data
- Continuum Basis
- Calibration Details and Material Models
- Hill's Hyperelastic Model with Generalized Strains
- Evaluation Functions (NMAD, MSD, R²)
The experimental data of tests including uniaxial tensile, equi-biaxial tensile and pure shear, was extracted from:
- Treloar, L. R. (1944). Stress-strain data for vulcanized rubber under various types of deformation. Rubber Chemistry and Technology, 17(4), 813-825.
For a comprehensive understanding of the continuum basis, refer to:
- Holzapfel, G. A. (2002). Nonlinear Solid Mechanics: A Continuum Approach for Engineering Science.
For insights into calibration details and a review of material models, see:
- Dal, H., Açıkgöz, K., & Badienia, Y. (2021). On the Performance of Isotropic Hyperelastic Constitutive Models for Rubber-like Materials: A State of the Art Review. Applied Mechanics Reviews, 73(2), 020802.
Detailed information on the Hills hyperelastic model with generalized strains can be found in:
- Liu, J., Guan, J., Zhao, C., & Luo, J. (2024). A Continuum and Computational Framework for Viscoelastodynamics: III. A Nonlinear Theory. Computer Methods in Applied Mechanics and Engineering, 430, 117248. DOI: 10.1016/j.cma.2024.117248
For an explanation of the evaluation functions used (NMAD, MSD, R²), visit:
Please note that the links provided are for reference only and may require a stable internet connection for access. If you encounter any issues with the links, please verify their legitimacy and try again later.
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