Continuum mechanics of differential growth in disordered granular matter
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917756514861056 |
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| author | Livne, Noemie S. Samanta, Tuhin Schiller, Amit Procaccia, Itamar Moshe, Michael |
| author_facet | Livne, Noemie S. Samanta, Tuhin Schiller, Amit Procaccia, Itamar Moshe, Michael |
| contents | Disordered granular matter exhibits mechanical responses that occupy the boundary between fluids and solids, lacking a complete description within a continuum theoretical framework. Recent studies have shown that, in the quasi-static limit, the mechanical response of disordered solids to external perturbations is anomalous and can be accurately predicted by the theory of odd-dipole-screening. In this work, we investigate responsive granular matter, where grains change size in response to stimuli such as humidity, temperature, or other factors. We develop a geometric theory of odd dipole-screening, incorporating the growth field into the equilibrium equation. Our theory predicts an anomalous displacement field in response to non-uniform growth fields, confirmed by molecular dynamics simulations of granular matter. Although the screening parameters in our theory are phenomenological and not derived from microscopic physics, we identify a surprising relationship between the odd parameter and Poissons ratio. This theory has implications for various experimental protocols, including non-uniform heating or wetting, which lead to spatially varying expansion field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13086 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Continuum mechanics of differential growth in disordered granular matter Livne, Noemie S. Samanta, Tuhin Schiller, Amit Procaccia, Itamar Moshe, Michael Soft Condensed Matter Disordered Systems and Neural Networks Materials Science Disordered granular matter exhibits mechanical responses that occupy the boundary between fluids and solids, lacking a complete description within a continuum theoretical framework. Recent studies have shown that, in the quasi-static limit, the mechanical response of disordered solids to external perturbations is anomalous and can be accurately predicted by the theory of odd-dipole-screening. In this work, we investigate responsive granular matter, where grains change size in response to stimuli such as humidity, temperature, or other factors. We develop a geometric theory of odd dipole-screening, incorporating the growth field into the equilibrium equation. Our theory predicts an anomalous displacement field in response to non-uniform growth fields, confirmed by molecular dynamics simulations of granular matter. Although the screening parameters in our theory are phenomenological and not derived from microscopic physics, we identify a surprising relationship between the odd parameter and Poissons ratio. This theory has implications for various experimental protocols, including non-uniform heating or wetting, which lead to spatially varying expansion field. |
| title | Continuum mechanics of differential growth in disordered granular matter |
| topic | Soft Condensed Matter Disordered Systems and Neural Networks Materials Science |
| url | https://arxiv.org/abs/2408.13086 |