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| Format: | Preprint |
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2026
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| Online Access: | https://arxiv.org/abs/2604.10153 |
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| _version_ | 1866917446708887552 |
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| author | Itskov, Mikhail |
| author_facet | Itskov, Mikhail |
| contents | In a previous paper \cite{Itskov-MoSM} we presented a hyperelastic isotropic material model whose stress-strain response is nonlinear even at infinitesimal deformations and cannot thus be linearized. As a result values of Poisson's ratio greater than one half were obtained. In this contribution, we further propose an isotropic strain energy function which is always positive-definite and depending on material constants delivers arbitrary values of Poisson's ratio (except of $-1$) in agreement with the laws of thermodynamics. The model response appears stable and plausible in various deformation states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10153 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-Hookean elasticity with arbitrary Poisson's ratios Itskov, Mikhail Analysis of PDEs Materials Science Mathematical Physics In a previous paper \cite{Itskov-MoSM} we presented a hyperelastic isotropic material model whose stress-strain response is nonlinear even at infinitesimal deformations and cannot thus be linearized. As a result values of Poisson's ratio greater than one half were obtained. In this contribution, we further propose an isotropic strain energy function which is always positive-definite and depending on material constants delivers arbitrary values of Poisson's ratio (except of $-1$) in agreement with the laws of thermodynamics. The model response appears stable and plausible in various deformation states. |
| title | Non-Hookean elasticity with arbitrary Poisson's ratios |
| topic | Analysis of PDEs Materials Science Mathematical Physics |
| url | https://arxiv.org/abs/2604.10153 |