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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.09611 |
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| _version_ | 1866909536105791488 |
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| author | Bouthier, Louis-Vincent Castellani, Romain Valette, Rudy |
| author_facet | Bouthier, Louis-Vincent Castellani, Romain Valette, Rudy |
| contents | An extension of the Sequence of Physical Processes using geometrical corrections of the Piola-Kirchhoff stress tensor and the Green-Lagrange strain tensor is addressed. More precisely, the usual Sequence of Physical Processes omits some geometrical non linearities that appear when the deformation becomes large. With this extension, geometrical corrections are added and let the opportunity to study rheological non linearities. Application on two famous classical viscoelastic models, namely the linear Maxwell model and the linear Kelvin-Voigt model, helps to understand how some complex behaviours may be rationalised to better understand the behaviours after some corrections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09611 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extension of Sequence of Physical Processes framework relating the second Piola-Kirchhoff stress tensor to the Green-Lagrange strain tensor Bouthier, Louis-Vincent Castellani, Romain Valette, Rudy Soft Condensed Matter An extension of the Sequence of Physical Processes using geometrical corrections of the Piola-Kirchhoff stress tensor and the Green-Lagrange strain tensor is addressed. More precisely, the usual Sequence of Physical Processes omits some geometrical non linearities that appear when the deformation becomes large. With this extension, geometrical corrections are added and let the opportunity to study rheological non linearities. Application on two famous classical viscoelastic models, namely the linear Maxwell model and the linear Kelvin-Voigt model, helps to understand how some complex behaviours may be rationalised to better understand the behaviours after some corrections. |
| title | Extension of Sequence of Physical Processes framework relating the second Piola-Kirchhoff stress tensor to the Green-Lagrange strain tensor |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2503.09611 |