IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i5p670-d1345321.html
   My bibliography  Save this article

Digital Fracture Surface Morphology and Statistical Characteristics of Granite Brazilian Tests after Non-Steady-State Thermal Disturbance

Author

Listed:
  • Yongjun Chen

    (School of Resources and Safety Engineering, Central South University, Changsha 410083, China
    Department of Civil Engineering, Monash University, 3800 Melbourne, Australia)

  • Tubing Yin

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

Abstract

With the widespread advent of digital technologies, traditional perspectives in rock mechanics research are poised for further expansion. This paper presents a Brazilian test conducted on granite after non-steady-state thermal disturbance at 25 °C, 200 °C, 400 °C, and 600 °C, with detailed documentation of the damage process and failure response using an acoustic emission (AE) apparatus and a digital image correlation (DIC) system. Subsequently, utilizing point cloud data captured by a three-dimensional (3D) laser scanning system, a digital reconstruction of the failed specimen’s fracture surface was accomplished. The 3D fractal characteristics and roughness response of the digitized fracture surface were studied using the box-counting method and least squares approach. Furthermore, texture information of the digitized fracture surface was calculated using the Gray Level Co-occurrence Matrix (GLCM), and statistical characteristics describing the elevation distribution were analyzed. The results elucidate the influence of thermal disturbance temperature on the mechanical parameters of the specimen, acoustic emission behavior, surface strain field evolution, and digital fracture morphology characteristics. The findings indicate a non-linear degradation effect of temperature on the specimen’s tensile strength, with a reduction reaching 80.95% at 600 °C, where acoustic emission activity also peaked. The rising thermal disturbance temperature inhibited the crack initiation load at the specimen’s center but expanded the high-strain concentration areas and the growth rate of horizontal displacement. Additionally, varying degrees of linear or non-linear relationships were discovered between thermal disturbance temperature and the 3D fractal dimension of the fracture surface, average roughness ( R a ), peak roughness ( R z ), and root mean square roughness ( R q ), confirming the potential of Rsm in predicting the 3D fractal dimension of Brazilian test fracture surfaces. The study of the GLCM of the digitized 3D fracture surface demonstrated a high dependency of its four second-order statistical measures on thermal disturbance temperature. Finally, the statistical parameters of the fracture surface’s elevation values showed a significant non-linear relationship with thermal disturbance temperature, with a critical temperature point likely existing between 400 and 600 °C that could precipitate a sudden change in the fracture surface’s elevation characteristics.

Suggested Citation

  • Yongjun Chen & Tubing Yin, 2024. "Digital Fracture Surface Morphology and Statistical Characteristics of Granite Brazilian Tests after Non-Steady-State Thermal Disturbance," Mathematics, MDPI, vol. 12(5), pages 1-26, February.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:5:p:670-:d:1345321
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/5/670/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/12/5/670/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. H. W. Zhou & H. Xie, 2003. "Direct Estimation of the Fractal Dimensions of a Fracture Surface of Rock," Surface Review and Letters (SRL), World Scientific Publishing Co. Pte. Ltd., vol. 10(05), pages 751-762.
    Full references (including those not matched with items on IDEAS)

    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. Zou, Mingqing & Yu, Boming & Feng, Yongjin & Xu, Peng, 2007. "A Monte Carlo method for simulating fractal surfaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 176-186.
    2. Guosheng Ding & Hejuan Liu & Debin Xia & Duocai Wang & Famu Huang & Haitao Guo & Lihuan Xie & Yintong Guo & Mingyang Wu & Haijun Mao, 2023. "Experimental Study of the Shear Characteristics of Fault Filled with Different Types of Gouge in Underground Gas Storage," Energies, MDPI, vol. 16(7), pages 1-16, March.
    3. Xiaolong Li & Chen Cao & Xin Lin, 2021. "Improved Image Analysis Method to Evaluate Tracking Property under Successive Flashover Based on Fractal Theory," Energies, MDPI, vol. 14(24), pages 1-13, December.

    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:12:y:2024:i:5:p:670-:d:1345321. 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.