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A sudden drop of fractal dimension: a likely precursor of catastrophic failure in disordered media

机译:分形维数突然下降:无序介质中灾难性破坏的可能前兆

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摘要

The variation of fractal dimension and entropy during a damage evolution process, especially approaching critical failure, is investigated. The results show that, as damage evolves, the fractal dimension and entropy of the spatial distribution of microcracks/voids decrease. A sudden drop of fractal dimension can be viewed as a quantitative indicator of damage localization or a likely precursor of an impending catastrophic failure. Using mining-induced rock bursts as an example, the complexity and difficulties of prediction are discussed.
机译:研究了损伤演化过程中,尤其是接近临界破坏过程中,分形维数和熵的变化。结果表明,随着损伤的发展,微裂纹/空隙的空间分布的分形维数和熵减小。分形维数的突然下降可以看作是损伤定位的定量指标,也可以看作是即将发生的灾难性破坏的先兆。以采矿引起的岩爆为例,讨论了预测的复杂性和难点。

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