Footprints on the beach: visualizing dilation-induced air entry

F. Parera Morales, G. A. Siemens, M. McKellar, N. Pinyol, E. E. Alonso, W. Andy Take
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Abstract

The dry fringe that appears beneath a footprint on a beach is a visual manifestation of dilation. Dilation causes the sand to attempt to increase in volume on shearing, resulting in negative pore pressure, and enhanced bearing capacity. Conventional theory cannot explain this increase in strength, suggesting instead that bearing capacity with the phreatic surface at the sand surface should be approximately half that of the dry case. To explore this apparent contradiction, ten load-controlled bearing capacity experiments were performed on transparent soil with phreatic surfaces ranging from 100 mm below to 30 mm above the footing. For phreatic surfaces deeper than the footing width, failure occurred within the dry material. In shallower phreatic surface conditions, bearing capacity increased as the phreatic surface approached the surface. Air entry was observed to initiate along the top surface of the saturated layer and extend to the depth of the bearing capacity mechanism. For the case of the phreatic and soil surfaces being coincident, the bearing capacity was observed to be more than double that of the dry case. In submerged cases bearing capacity was less than at-surface, as there was no air-fluid interface to enhance the development of negative pore pressure.
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沙滩上的脚印:可视化扩张引起的空气进入
沙滩上的脚印下出现的干燥边缘是扩张的直观表现。膨胀会使沙子在受到剪切时体积增大,从而产生负孔隙压力,提高承载能力。传统理论无法解释这种强度的增加,反而认为沙表面的气孔面的承载力应约为干燥情况下的一半。为了探究这一明显的矛盾,我们在透明土壤上进行了十次荷载控制的承载能力实验,实验中的透气表面从地基下 100 毫米到地基上 30 毫米不等。对于深度大于基脚宽度的透气表面,失效发生在干燥材料内部。在较浅的气孔表面条件下,承载能力随着气孔表面接近地表而增加。据观察,空气进入是沿着饱和层的顶面开始的,并延伸到承载力机制的深度。在透气层和土壤表面重合的情况下,承载力是干燥情况下的两倍多。在浸没情况下,由于没有空气-流体界面来增强负孔隙压力的发展,承载力低于地表情况。
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