Compressive Failure Characteristics of a Coal–Rock Combination at Different Angles: Experimental Study and Fractal Analysis

IF 3.6 2区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Fractal and Fractional Pub Date : 2024-04-20 DOI:10.3390/fractalfract8040240
Long Tang, Shihao Tu, Hong-sheng Tu, Kaijun Miao, Wenlong Li, Hongbin Zhao, Jieyang Ma, Lei Zhang
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Abstract

In order to explore the influence of dip angles on the deformation and failure of a coal–rock combination, uniaxial compression experiments were carried out on a coal–rock combination with different dip angles, and the acoustic emissions (hereinafter referred to as AE) responses during loading were collected. Based on the damage mechanics theory and fractal theory, the fractal dimensions of different damage degrees were calculated. The results show that, with the increase in the inclination angle, the compressive strength and elastic modulus of the coal–rock combination gradually decreased, while the AE ringing count gradually increased first and then decreased. At the initial loading stage of the specimen, the greater the damage degree of the coal–rock combination under the same strain condition, the larger the value of its overall fractal dimension. The AE fractal dimension of the coal–rock combination increases gradually between 10% and 20% of the damage degree. It suddenly decreased between 50% and 60%, then increased slightly before gradually decreasing to the minimum between 80% and 100%. The sudden decrease in fractal dimension, a slight increase, and then a continuous decrease can be used as the precursor information for the instability and failure of the coal–rock combination.
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不同角度下煤岩组合的压缩破坏特征:实验研究与分形分析
为了探讨倾角对煤岩组合变形和破坏的影响,对不同倾角的煤岩组合进行了单轴压缩实验,并采集了加载过程中的声发射(以下简称 AE)响应。基于损伤力学理论和分形理论,计算了不同损伤程度的分形尺寸。结果表明,随着倾角的增大,煤岩组合的抗压强度和弹性模量逐渐减小,而 AE 振铃数则先增大后减小。在试样的初始加载阶段,相同应变条件下,煤岩组合的破坏程度越大,其整体分形维度值也越大。煤岩组合的 AE 分形维数在损伤程度的 10% 到 20% 之间逐渐增大。在 50%-60%之间突然减小,然后略有增加,在 80%-100%之间逐渐减小到最小值。分形维数的突然减小、轻微增大和持续减小可作为煤岩组合失稳和破坏的前兆信息。
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来源期刊
Fractal and Fractional
Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
4.60
自引率
18.50%
发文量
632
审稿时长
11 weeks
期刊介绍: Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.
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