Armouring of a frictional interface by mechanical noise
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909363209240576 |
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| author | Sergany, Elisa El Wyart, Matthieu de Geus, Tom W. J. |
| author_facet | Sergany, Elisa El Wyart, Matthieu de Geus, Tom W. J. |
| contents | A dry frictional interface loaded in shear often displays stick-slip. The amplitude of this cycle depends on the probability that a microscopic event nucleates a rupture and on the rate at which microscopic events are triggered. The latter is determined by the distribution of soft spots, $P(x)$, which is the density of microscopic regions that yield if the shear load is increased by some amount $x$. In minimal models of a frictional interface - that include disorder, inertia and long-range elasticity - we discovered an 'armouring' mechanism by which the interface is greatly stabilised after a large slip event: $P(x)$ then vanishes at small argument as $P(x)\sim x^θ$ [1]. The exponent $θ$ is non-zero only in the presence of inertia (otherwise $θ=0$). It was found to depend on the statistics of the disorder in the model, a phenomenon that was not explained. Here, we show that a single-particle toy model with inertia and disorder captures the existence of a non-trivial exponent $θ>0$, which we can analytically relate to the statistics of the disorder. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_13802 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Armouring of a frictional interface by mechanical noise Sergany, Elisa El Wyart, Matthieu de Geus, Tom W. J. Soft Condensed Matter A dry frictional interface loaded in shear often displays stick-slip. The amplitude of this cycle depends on the probability that a microscopic event nucleates a rupture and on the rate at which microscopic events are triggered. The latter is determined by the distribution of soft spots, $P(x)$, which is the density of microscopic regions that yield if the shear load is increased by some amount $x$. In minimal models of a frictional interface - that include disorder, inertia and long-range elasticity - we discovered an 'armouring' mechanism by which the interface is greatly stabilised after a large slip event: $P(x)$ then vanishes at small argument as $P(x)\sim x^θ$ [1]. The exponent $θ$ is non-zero only in the presence of inertia (otherwise $θ=0$). It was found to depend on the statistics of the disorder in the model, a phenomenon that was not explained. Here, we show that a single-particle toy model with inertia and disorder captures the existence of a non-trivial exponent $θ>0$, which we can analytically relate to the statistics of the disorder. |
| title | Armouring of a frictional interface by mechanical noise |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2301.13802 |