IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i12p2078-d839702.html
   My bibliography  Save this article

Effect of Particle Size Distribution on the Dynamic Mechanical Properties and Fractal Characteristics of Cemented Rock Strata

Author

Listed:
  • Jiajun Wang

    (School of Resources & Safety Engineering, Central South University, Changsha 410083, China)

  • Linqi Huang

    (School of Resources & Safety Engineering, Central South University, Changsha 410083, China)

  • Xibing Li

    (School of Resources & Safety Engineering, Central South University, Changsha 410083, China)

  • Yangchun Wu

    (School of Resources & Safety Engineering, Central South University, Changsha 410083, China)

  • Huilin Liu

    (School of Resources & Safety Engineering, Central South University, Changsha 410083, China)

Abstract

To investigate the dynamic mechanics and post-failure characteristics of fault-cemented rock strata, broken rock particles were reshaped to obtain cemented rock samples with various particle size distributions (PSDs). Split Hopkinson pressure bar (SHPB) dynamic impact tests were performed on the cemented rock samples under different strain rates. The test results show that plastic deformation occurs in the cemented rock sample as a result of its porous structure. Therefore, there is no linear phase in the dynamic stress–strain curves. With an increase in the Talbot index and mixture type, more large particles were contained inside the cemented rock sample, and the dynamic strength gradually increased. A power function can effectively describe the relationship between the strain rate and dynamic strength for various Talbot indices. After dynamic impact, the fragments of the cemented rock samples exhibit evident fractal laws, and the breakage of the samples includes breakage of the original rock particle itself and breakage between the rock particles and cementations. The breakage ratio and fractal dimension both decrease with the increase in the number of mixture type and Talbot index but increase with the increase in strain rate. It is worth noting that the breakage ratio and fractal dimension have a linear relationship regardless of the PSD or strain. The relationship between the dynamic strength and fractal dimension has different response laws for the PSD and strain rate effects. The dynamic strength is negatively linearly related to the fractal dimension under the PSD effect but positively linearly related to the fractal dimension under the strain rate effect. This research work can provide foundation support for investigating the instability mechanism of fault cemented rock strata under dynamic stress.

Suggested Citation

  • Jiajun Wang & Linqi Huang & Xibing Li & Yangchun Wu & Huilin Liu, 2022. "Effect of Particle Size Distribution on the Dynamic Mechanical Properties and Fractal Characteristics of Cemented Rock Strata," Mathematics, MDPI, vol. 10(12), pages 1-21, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2078-:d:839702
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/12/2078/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/12/2078/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yangchun Wu & Linqi Huang & Xibing Li & Yide Guo & Huilin Liu & Jiajun Wang, 2022. "Effects of Strain Rate and Temperature on Physical Mechanical Properties and Energy Dissipation Features of Granite," Mathematics, MDPI, vol. 10(9), pages 1-20, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Linqi Huang & Shaofeng Wang & Xin Cai & Zhengyang Song, 2022. "Mathematical Problems in Rock Mechanics and Rock Engineering," Mathematics, MDPI, vol. 11(1), pages 1-3, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shaofeng Wang & Xin Cai & Jian Zhou & Zhengyang Song & Xiaofeng Li, 2022. "Analytical, Numerical and Big-Data-Based Methods in Deep Rock Mechanics," Mathematics, MDPI, vol. 10(18), pages 1-5, September.
    2. Niaz Muhammad Shahani & Barkat Ullah & Kausar Sultan Shah & Fawad Ul Hassan & Rashid Ali & Mohamed Abdelghany Elkotb & Mohamed E. Ghoneim & Elsayed M. Tag-Eldin, 2022. "Predicting Angle of Internal Friction and Cohesion of Rocks Based on Machine Learning Algorithms," Mathematics, MDPI, vol. 10(20), pages 1-17, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2078-:d:839702. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.