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Effect of Pore Morphology of Composites on Ultrasonic Attenuation Coefficient Based on Fractal Theory

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Abstract

The correspondence between the porosity and ultrasonic attenuation coefficient are not unique due to the randomness and complexity of pore morphology in ultrasonic nondestructive testing of composite materials. Thus, the fractal box dimension is used to describe the pore morphology, and the influence of pore morphology on ultrasonic attenuation coefficient is studied in this paper. Firstly, based on the random medium theory, random pore models with different morphologies were constructed. Then the fractal box dimension was used to characterize the pore morphology, and the sensitivity of fractal box dimension to pore morphology such as length, width and distribution was studied. Finally, the relationship between fractal box dimension and ultrasonic attenuation coefficient was established to analyze the influence of fractal box dimension on ultrasonic attenuation. The research shows that the fractal box dimension is sensitive to pore size and pore distribution. The increase of pore length and width size and the aggregation of pore distribution under the same porosity all cause the increase of fractal box dimension. At the same time, the larger the porosity, the larger the fractal box dimension. The influence of pore size change on ultrasonic attenuation coefficient characterized by fractal box dimension under different porosity is more distinguishable than that of pore size change characterized by average length or width. Therefore, fractal box dimension is a parameter that can better characterize the pore morphology of composite materials, which is more conducive to analyzing the influence of pore morphology on ultrasonic testing.

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ACKNOWLEDGMENTS

This work was supported by the National Natural Science Foundation of China (grant nos. 61871060 and 52075049); the Natural Science Foundation of Hunan Province, China (grant nos. 2020JJ4614 and 2020JJ2028); and the Innovation Platform Open Fund of Education Department of Hunan Province, China (grant no. 19K009).

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Authors and Affiliations

  1. Hunan Provincial Key Laboratory of Intelligent Manufacturing Technology for High-Performance Mechanical Equipment, Changsha University of Science and Technology, 410114, Changsha, China

    Xianghong Wang, Huanhuan He, Wei Xie & Hongwei Hu

  2. School of Automotive and Mechanical Engineering, Changsha University of Science and Technology, 410114, Changsha, China

    Xianghong Wang, Huanhuan He, Wei Xie & Hongwei Hu

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  1. Xianghong Wang
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  2. Huanhuan He
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Correspondence to Hongwei Hu.

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The online version contains supplementary material available at https://doi.org/10.1134/S1061830922040106

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Wang, X., He, H., Xie, W. et al. Effect of Pore Morphology of Composites on Ultrasonic Attenuation Coefficient Based on Fractal Theory. Russ J Nondestruct Test 58, 289–300 (2022). https://doi.org/10.1134/S1061830922040106

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