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Computational prediction of hyperelastic constitutive model of damaged hydrogel (soft composite) materials under high-strain loading – a nonlinear FE approach

Ashish Kumar Meher, Gaurav Kumar, Subrata Kumar Panda, Akshaya Kumar Rout

Mechanics of Advanced Materials and Structures | Jul 4, 2026

Abstract

Abstract

The influence of cracks on the hydrogel material’s strength characteristic (stretch-to-stress ratio) is numerically investigated using a hyperelastic material model under variable strain loadings (from nominal to high). Material deformation is modeled using higher-order polynomials in conjunction with finite element steps, and a customized MATLAB code is used to evaluate the hydrogel’s constitutive behavior. The model incorporates Yeoh’s hyperelastic constitutive relationship to compute the stretch-stress characteristics under uniaxial tensile and high-strain loading conditions. A computational model is proposed to evaluate the constitutive behavior of a soft material, utilizing a few experimental exponents and validated by comparing with published data. The validation results show that the outcomes deviate by up to 1.23%. Solving a series of numerical examples has also highlighted the current model’s utility for understanding the influence of damage on the stress-strain responses of hyperelastic components. These examples demonstrate a thorough study of tensile properties to assess the mechanical behavior in hyperelastic polymeric composite components. The findings contribute to the improved design of polymeric components in high-performance engineering applications, including those in the biomedical and medicinal fields.

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Authors

Researchers on this paper

Ashish Kumar Meher

first | National Institute of Technology Rourkela | ORCID 0009-0006-7244-3435

Gaurav Kumar

middle | National Institute of Technology Rourkela

Subrata Kumar Panda

middle | National Institute of Technology Rourkela | ORCID 0000-0001-8841-7449

Akshaya Kumar Rout

last | KIIT University | ORCID 0000-0002-9227-7634

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Citation

BibTeX

@article{Meher2026Computational,
  title = {Computational prediction of hyperelastic constitutive model of damaged hydrogel (soft composite) materials under high-strain loading – a nonlinear FE approach},
  author = {Ashish Kumar Meher and Gaurav Kumar and Subrata Kumar Panda and Akshaya Kumar Rout},
  journal = {Mechanics of Advanced Materials and Structures},
  year = {2026},
  doi = {10.1080/15376494.2026.2695256},
  url = {https://doi.org/10.1080/15376494.2026.2695256}
}

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