Constitutive properties for isotropic energies in ideal nonlinear elasticity for solid materials: numerical evidences for invertibility and monotonicity in different stress-strain pairs
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908510412865536 |
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| author | Ghiba, Ionel-Dumitrel Martin, Robert Apetrii, Marius Neff, Patrizio |
| author_facet | Ghiba, Ionel-Dumitrel Martin, Robert Apetrii, Marius Neff, Patrizio |
| contents | As a service for the solid mechanics community we gather in this paper constitutive properties of a collective list of isotropic elastic energies for compressible materials. Of interest to us are the invertibility and monotonicity of certain stress-strain pairs. The calculations are done numerically by our own evaluation algorithm and presented in a yes/no-table. Such an overview has been missing up to now. It is intended to expand the table with further energies as time goes on and updates will be found on arxive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00126 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constitutive properties for isotropic energies in ideal nonlinear elasticity for solid materials: numerical evidences for invertibility and monotonicity in different stress-strain pairs Ghiba, Ionel-Dumitrel Martin, Robert Apetrii, Marius Neff, Patrizio Classical Physics Mathematical Physics Classical Analysis and ODEs As a service for the solid mechanics community we gather in this paper constitutive properties of a collective list of isotropic elastic energies for compressible materials. Of interest to us are the invertibility and monotonicity of certain stress-strain pairs. The calculations are done numerically by our own evaluation algorithm and presented in a yes/no-table. Such an overview has been missing up to now. It is intended to expand the table with further energies as time goes on and updates will be found on arxive. |
| title | Constitutive properties for isotropic energies in ideal nonlinear elasticity for solid materials: numerical evidences for invertibility and monotonicity in different stress-strain pairs |
| topic | Classical Physics Mathematical Physics Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2509.00126 |