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April 12, 2026Mechanics Of Soft Materials1 citationsOpen Access

Hyperelastic Isotropic Model with Poisson’s Ratio Greater Than One Half

A hyperelastic isotropic model with Poisson’s ratio greater than one half

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Authors

MIMikhail Itskov

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Overview

Proposes a novel hyperelastic isotropic model demonstrating unique stress-strain behavior and high Poisson's ratio.

Key Points

  • To develop a hyperelastic isotropic material model exhibiting non-linear stress-strain behavior even at small deformations.
  • Proposed a new strain energy function for the hyperelastic model.
  • Analyzed the model response in various deformation states including uniaxial tension, simple shear, and pure dilation.
  • Verified the model's validity in accordance with thermodynamic laws.
  • The model allows Poisson's ratio to exceed 0.5, reaching a value of 0.644.
  • Demonstrated non-linear behavior not conforming to the generalized Hooke's law even at small strains.
  • Model response is plausible for multiple deformation scenarios.

Cite This Study

Mikhail Itskov (2026) studied this question.

synapsesocial.com/papers/69db37404fe01fead37c53d7https://doi.org/10.1007/s42558-026-00073-2
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