摘要翻译：
利用纤维束模型研究了强非均匀性对无序材料断裂的影响。该束由两个纤维子集组成，即纤维的0<α<1的分数是不可破的，而剩下的1-α分数由破断阈值分布表征。在全局负载分担的情况下，我们解析地证明了存在一个临界分量α_c,它将系统的两个性质不同的区域分开：在α_c以下，突发大小分布为幂律，通常的指数Tau=5/2,而在α_c以上，指数变为较低的值Tau=9/4,并出现一个特征大小发散的截止函数。通过对系统宏观响应的分析，我们证明了这种转变是以无序分布为条件的，其中本构曲线具有一个单一的极大值和一个拐点，定义了一种新的通用性击穿现象。
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英文标题：
《Universality class of fiber bundles with strong heterogeneities》
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作者：
R.C. Hidalgo, K.Kovacs, I. Pagonabarraga and F. Kun
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最新提交年份：
2008
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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：
  We study the effect of strong heterogeneities on the fracture of disordered materials using a fiber bundle model. The bundle is composed of two subsets of fibers, i.e. a fraction 0<\alpha<1 of fibers is unbreakable, while the remaining 1-\alpha fraction is characterized by a distribution of breaking thresholds. Assuming global load sharing, we show analytically that there exists a critical fraction of the components \alpha_c which separates two qualitatively different regimes of the system: below \alpha_c the burst size distribution is a power law with the usual exponent \tau=5/2, while above \alpha_c the exponent switches to a lower value \tau=9/4 and a cutoff function occurs with a diverging characteristic size. Analyzing the macroscopic response of the system we demonstrate that the transition is conditioned to disorder distributions where the constitutive curve has a single maximum and an inflexion point defining a novel universality class of breakdown phenomena.
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PDF链接：
https://arxiv.org/pdf/802.2695