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March 1, 2021Applied Mechanics Reviews

On the Performance of Isotropic Hyperelastic Constitutive Models for Rubber-Like Materials: A State of the Art Review

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Authors

HDHüsnü DalKAKemal AçıkgözYBYashar Badienia

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Overview

Comparative review reveals performance variations among 44 hyperelastic constitutive models under multi-axial deformation, highlighting optimal model selection for elastomers.

Key Points

  • Assess the capabilities, strengths, and limitations of 44 isotropic hyperelastic constitutive models across uniaxial, pure shear, and equibiaxial deformation modes.
  • Developed a parameter identification framework utilizing a hybrid multi-objective optimization approach combining genetic algorithms with gradient-based search (MATLAB fmincon).
  • Fitted 44 hyperelastic models simultaneously to Treloar and Kawabata experimental datasets across uniaxial, equibiaxial, and pure shear deformation modes using variable weight factors.
  • Ranked models using a normalized quality-of-fit metric and established validity thresholds for models unable to capture all three deformation states simultaneously.
  • Sorted 44 hyperelastic models based on simultaneous fitting performance against benchmark experimental data and evaluated their efficacy relative to parameter count.
  • Identified defined validity ranges and limitations for formulations incapable of accurately capturing simultaneous uniaxial, equibiaxial, and pure shear deformation behaviors.

Cite This Study

Dal et al. (2021) studied this question.

synapsesocial.com/papers/6a02a0a7bc3ffe278e6512a5https://doi.org/10.1115/1.4050978
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