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Self-similar crack-generation effects in the fracture process in brittle materials

机译:脆性材料在断裂过程中的自相似裂纹产生效应

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Using acoustic-emission data banks we have computed time and space correlation functions for the purpose of investigation of crack-propagation self-similarity during the fracture process in brittle materials. It is shown that the whole fracture process may be represented as a two-stage process. In the first stage, the crack propagation is uniform and uncorrelated in space, having a time spectral density of the white-noise type and a correlation fractal dimension approximately equal to that of 3D Euclidean space. In the second stage, this fractal dimension decreases significantly, reaching the value of 2.2-2.4, characteristic for the fracture surfaces, while the time spectral density exhibits a significant low-frequency increase becoming of 1/f-noise type. The resulting fractal shows no multifractal behaviour, appearing to be a single fractal. [References: 9]
机译:使用声发射数据库,我们已经计算了时间和空间相关函数,目的是研究脆性材料在断裂过程中裂纹扩展的自相似性。结果表明,整个断裂过程可以表示为两阶段过程。在第一阶段,裂纹在空间中的传播是均匀且不相关的,具有白噪声类型的时间谱密度和大约等于3D欧几里德空间的相关分形维数。在第二阶段,该分形维数显着减小,达到了断裂表面的特征值2.2-2.4,而时间谱密度显示出明显的低频增加,变成了1 / f噪声类型。所得的分形没有显示多分形行为,似乎是单个分形。 [参考:9]

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