摘要翻译：
从二维角度分析了无序和缺口对裂纹粗糙度的影响。基于大系统尺寸和广泛统计抽样的模拟结果表明，裂纹表面具有普遍的局部粗糙度$\zeta_{loc}=0.71$，并且与初始缺口尺寸和破坏阈值无序无关。整体粗糙度指数为$\zeta=0.87$，与材料无序无关。此外，我们还注意到裂纹剖面高度起伏的统计分布也与材料无序无关，并用高斯分布描述，尽管在尾部观察到偏差。
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英文标题：
《Effect of Disorder and Notches on Crack Roughness》
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作者：
Phani K. V. V. Nukala, Stefano Zapperi, Mikko J. Alava, Srdjan
  Simunovic
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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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一级分类：Physics        物理学
二级分类：Materials Science        材料科学
分类描述：Techniques, synthesis, characterization, structure.  Structural phase transitions, mechanical properties, phonons. Defects, adsorbates, interfaces
技术，合成，表征，结构。结构相变，力学性质，声子。缺陷，吸附质，界面
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英文摘要：
  We analyze the effect of disorder and notches on crack roughness in two dimensions. Our simulation results based on large system sizes and extensive statistical sampling indicate that the crack surface exhibits a universal local roughness of $\zeta_{loc} = 0.71$ and is independent of the initial notch size and disorder in breaking thresholds. The global roughness exponent scales as $\zeta = 0.87$ and is also independent of material disorder. Furthermore, we note that the statistical distribution of crack profile height fluctuations is also independent of material disorder and is described by a Gaussian distribution, albeit deviations are observed in the tails.
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PDF链接：
https://arxiv.org/pdf/708.3095