A few notes about viscoplastic rheologies
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914480764485632 |
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| author | Roubíček, Tomáš |
| author_facet | Roubíček, Tomáš |
| contents | The rigorous tools of convex analysis are used to examine various serial and parallel combinations of linear viscosity and perfect plasticity. Nonlinear viscosities are also considered. The general aim is to synthesize a single convex ``viscoplastic'' dissipation potential from the potentials of particular viscous or plastic elements. Rigorous serial-viscosity models are then compared with empirical models based on harmonic means, which are commonly used for various geomaterials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16785 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A few notes about viscoplastic rheologies Roubíček, Tomáš Mathematical Physics 74C10, 74L05, 76A10, 86A04 The rigorous tools of convex analysis are used to examine various serial and parallel combinations of linear viscosity and perfect plasticity. Nonlinear viscosities are also considered. The general aim is to synthesize a single convex ``viscoplastic'' dissipation potential from the potentials of particular viscous or plastic elements. Rigorous serial-viscosity models are then compared with empirical models based on harmonic means, which are commonly used for various geomaterials. |
| title | A few notes about viscoplastic rheologies |
| topic | Mathematical Physics 74C10, 74L05, 76A10, 86A04 |
| url | https://arxiv.org/abs/2506.16785 |