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Static response in disk packings

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Abstract.

1We present experimental and numerical results for displacement response functions in packings of rigid frictional disks under gravity. The central disk on the bottom layer is shifted upwards by a small amount, and the motions of disks above it define the displacement response. Disk motions are measured with the help of a still digital camera. The responses so measured provide information on the force-force response, that is, the excess force at the bottom produced by a small overload in the bulk. We find that, in experiments, the vertical-force response shows a Gaussian-like shape, broadening roughly as the square root of distance, as predicted by diffusive theories for stress propagation in granulates. However, the diffusion coefficient obtained from a fit of the response width is ten times larger than predicted by such theories. Moreover we notice that our data is compatible with a crossover to linear broadening at large scales. In numerical simulations on similar systems (but without friction), on the other hand, a double-peaked response is found, indicating wave-like propagation of stresses. We discuss the main reasons for the different behaviors of experimental and model systems, and compare our findings with previous works.

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Authors and Affiliations

  1. CINVESTAV del IPN, Depto. de Física Aplicada, 97310, Mérida, Yucatán, México and Depto. de Física, Universidad Nacional de San Luis, Argentina

    Cristian F. Moukarzel, Hector Pacheco-Martinaez, J. C. Ruiz-Suarez & Ana M. Vidales

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  1. Cristian F. Moukarzel
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  2. Hector Pacheco-Martinaez
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  3. J. C. Ruiz-Suarez
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  4. Ana M. Vidales
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Correspondence to Cristian F. Moukarzel.

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Moukarzel, C., Pacheco-Martinaez, H., Ruiz-Suarez, J. et al. Static response in disk packings. GM 6, 61–66 (2004). https://doi.org/10.1007/s10035-004-0156-z

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