Constraint ratio controls viscosity in shear thickening suspensions
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912965905612800 |
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| author | Mao, Qinghao van der Naald, Michael Singh, Abhinendra Jaeger, Heinrich M. |
| author_facet | Mao, Qinghao van der Naald, Michael Singh, Abhinendra Jaeger, Heinrich M. |
| contents | The dramatic viscosity increase observed in dense suspensions under shear poses a major challenge in our understanding of how microscopic contact mechanics translate into macroscopic flow resistance. Here, we introduce a constraint-counting model that incorporates friction and dimensionality naturally without additional assumptions and allows for collapsing of rheological data onto a universal master curve. In this model, we borrow ideas from dry granular jamming physics and classify contacts as either locked or non-locked to define a single state variable, the constraint ratio, which measures the average strength of mechanical constraint per particle. By identifying the constraint ratio as the key control parameter, our framework provides a unifying route toward predictive modeling and rational design of shear-thickening materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_13611 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Constraint ratio controls viscosity in shear thickening suspensions Mao, Qinghao van der Naald, Michael Singh, Abhinendra Jaeger, Heinrich M. Soft Condensed Matter The dramatic viscosity increase observed in dense suspensions under shear poses a major challenge in our understanding of how microscopic contact mechanics translate into macroscopic flow resistance. Here, we introduce a constraint-counting model that incorporates friction and dimensionality naturally without additional assumptions and allows for collapsing of rheological data onto a universal master curve. In this model, we borrow ideas from dry granular jamming physics and classify contacts as either locked or non-locked to define a single state variable, the constraint ratio, which measures the average strength of mechanical constraint per particle. By identifying the constraint ratio as the key control parameter, our framework provides a unifying route toward predictive modeling and rational design of shear-thickening materials. |
| title | Constraint ratio controls viscosity in shear thickening suspensions |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2603.13611 |