IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i19p2462-d649154.html
   My bibliography  Save this article

Analytical Stress Solution and Numerical Mechanical Behavior of Rock Mass Containing an Opening under Different Confining Stress Conditions

Author

Listed:
  • Lihai Tan

    (School of Resource Environment and Safety Engineering, University of South China, Hengyang 412001, China
    School of Civil, Mining and Environmental Engineering, University of Wollongong, Wollongong, NSW 2522, Australia)

  • Ting Ren

    (School of Civil, Mining and Environmental Engineering, University of Wollongong, Wollongong, NSW 2522, Australia)

  • Linming Dou

    (School of Mines, China University of Mining and Technology, Xuzhou 221116, China)

  • Xiaohan Yang

    (School of Civil, Mining and Environmental Engineering, University of Wollongong, Wollongong, NSW 2522, Australia)

  • Gaofeng Wang

    (School of Mines, China University of Mining and Technology, Xuzhou 221116, China)

  • Huaide Peng

    (School of Resource Environment and Safety Engineering, University of South China, Hengyang 412001, China)

Abstract

In this study, the triangle interpolation method for the calculation of mapping functions of plates containing an opening with arbitrary shapes is investigated with an improved method for point adjudgment during iterations. Afterwards, four kinds of openings with typical shapes are considered and the mapping functions for them are calculated, based on which the influence of calculation parameters such as iteration time and the number of terms on the accuracy of mapping function is discussed. Finally, the stress around an inverted U-shaped opening and around an arched opening under different far-field stress conditions is calculated and the effect of opening shape and lateral pressure coefficient on stress distribution and rock mechanical behaviors is further analyzed combined with the discrete element method (DEM) numerical simulation. The result shows that the stability and failure pattern of the rock mass is correlated with the stress around the opening, which is affected by the opening shape. The existence of opening also greatly reduces the enhancing influence of confining stress on rock specimen.

Suggested Citation

  • Lihai Tan & Ting Ren & Linming Dou & Xiaohan Yang & Gaofeng Wang & Huaide Peng, 2021. "Analytical Stress Solution and Numerical Mechanical Behavior of Rock Mass Containing an Opening under Different Confining Stress Conditions," Mathematics, MDPI, vol. 9(19), pages 1-18, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2462-:d:649154
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/19/2462/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/19/2462/
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    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.

    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:9:y:2021:i:19:p:2462-:d:649154. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.