ArticlePhilosophical transactions. Series A, Mathematical, physical, and engineering sciences2022
Exponents of the one-term Ogden model: insights from simple shear.
Article in Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed, 11 citations in OpenAlex.
- An Ogden hyperelastic 3D micromechanical model to depict Poynting effect in brain white matter.Heliyon · 2024Article
- The Ogden model of rubber mechanics: 50 years of impact on nonlinear elasticity.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2022Article
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2 authors at 2 institutions in 2 countries.
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Abstract
Isotropic one-term Ogden models are widely used to predict the mechanical response of both incompressible elastomers and soft tissue. Even though the exponent might be chosen to yield excellent agreement with some aspects of mechanical response, there is no guarantee that these models will be physically realistic in all situations. We show here that, in particular, the predictions of models with either negative or large positive exponents do not seem physically realistic in simple shear. The mechanical response of materials in shear should be physically realistic to ensure rational and reliable predictions for complex geometries and boundary conditions. We suggest that for problematic values of exponents of one-term models that extra Ogden invariants should necessarily be included in the model. This article is part of the theme issue 'The Ogden model of rubber mechanics: Fifty years of impact on nonlinear elasticity'.
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