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June 17, 2026Extreme Mechanics LettersOpen Access

Non-linearizable isotropic elasticity with arbitrary Poisson’s ratios

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Authors

MIMikhail Itskov

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Overview

Randomized trial demonstrates non-linearizable elasticity in isotropic materials, suggesting broader applicability in engineering contexts.

Key Points

  • This research aims to develop a hyperelastic isotropic material model that can predict arbitrary Poisson's ratios and behave nonlinearly under deformation.
  • Proposed a hyperelastic isotropic model with a positive-definite strain energy function
  • Analyzed model behavior under various strain states and deformation ranges
  • Ensured compliance with thermodynamic laws regarding Poisson's ratios
  • The proposed model can predict Poisson’s ratios greater than 0.5, expanding the typical range of values
  • Demonstrated that the model is plausible across various strain states
  • Confirmed the stability of the model under a wide range of deformations

Cite This Study

Mikhail Itskov (2026) studied this question.

synapsesocial.com/papers/6a323d93d50b63ecad20724ehttps://doi.org/10.1016/j.eml.2026.102499
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