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摘要翻译：
本文对枫丹白露砂岩裂隙表面进行了详细的统计分析，以探讨压实颗粒材料的破裂机理与裂隙几何形状之间的关系。不同宽度W的样品的粗糙度在从晶粒尺寸d到上截断长度XI=0.15W的范围内呈自仿射关系，指数zeta=0.46+-0.05。这一低zeta值与其它砂岩和烧结材料的测量结果一致。通过适当的归一化处理，高度在不同距离上变化的概率分布P(Δz，Δh)可以折叠为单一的高斯分布，不显示多重分形特征。粗糙度振幅由固定距离δz上的高度-高度相关性所表征，不依赖于样品宽度，这意味着没有其他材料所报告的类型的反常标度存在。建议用脆性断裂（而不是在zeta=0.8的材料中出现损伤破坏）来解释这些结果，这与最近的理论工作是一致的。
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英文标题：
《Failure mechanisms and surface roughness statistics of fractured
Fontainebleau sandstone》
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作者：
Laurent Ponson (FAST), Harold Auradou (FAST), Marc Pessel (IDES),
V\'eronique Lazarus (FAST), Jean-Pierre Hulin (FAST)
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
In an effort to investigate the link between failure mechanisms and the geometry of fractures of compacted grains materials, a detailed statistical analysis of the surfaces of fractured Fontainebleau sandstones has been achieved. The roughness of samples of different widths W is shown to be self affine with an exponent zeta=0.46 +- 0.05 over a range of length scales ranging from the grain size d up to an upper cut-off length \xi = 0.15 W. This low zeta value is in agreement with measurements on other sandstones and on sintered materials. The probability distributions P(delta z,delta h) of the variations of height over different distances delta z > d can be collapsed onto a single Gaussian distribution with a suitable normalisation and do not display multifractal features. The roughness amplitude, as characterized by the height-height correlation over fixed distances delta z, does not depend on the sample width, implying that no anomalous scaling of the type reported for other materials is present. It is suggested, in agreement with recent theoretical work, to explain these results by the occurence of brittle fracture (instead of damage failure in materials displaying a higher value of zeta = 0.8).
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PDF链接：
https://arxiv.org/pdf/704.2925
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