摘要翻译：
我们提出了连续损伤纤维束模型的一个扩展，以描述高度非均匀材料在不断增加的外载荷下的逐渐退化。在该模型中，纤维断裂之前是以随机阈值发生的一系列部分失效事件。为了捕捉到裂纹的扩展和停止，以及材料组分退化步数的无序性，将单根纤维的破坏阈值按升序排序，其总数为纤维上的泊松分布随机变量。分析和数值计算表明，该体系的破坏过程受极值统计规律的支配，它对宏观本构特性和微观爆破活动都有重要影响。
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英文标题：
《Continuous Damage Fiber Bundle Model for Strongly Disordered Materials》
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作者：
F. Raischel, F. Kun, H. J. Herrmann
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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：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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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 present an extension of the continuous damage fiber bundle model to describe the gradual degradation of highly heterogeneous materials under an increasing external load. Breaking of a fiber in the model is preceded by a sequence of partial failure events occurring at random threshold values. In order to capture the subsequent propagation and arrest of cracks, furthermore, the disorder of the number of degradation steps of material constituents, the failure thresholds of single fibers are sorted into ascending order and their total number is a Poissonian distributed random variable over the fibers. Analytical and numerical calculations showed that the failure process of the system is governed by extreme value statistics, which has a substantial effect on the macroscopic constitutive behaviour and on the microscopic bursting activity as well.
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PDF链接：
https://arxiv.org/pdf/706.1554