IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i18p3881-d1237700.html
   My bibliography  Save this article

Development of a Composite Implicit Time Integration Scheme for Three-Dimensional Discontinuous Deformation Analysis

Author

Listed:
  • Guoyang Liu

    (School of Architecture and Civil Engineering, Shenyang University of Technology, Shenyang 110870, China)

  • Junjie Liu

    (School of Architecture and Civil Engineering, Shenyang University of Technology, Shenyang 110870, China)

  • Shouyi Luo

    (School of Architecture and Civil Engineering, Shenyang University of Technology, Shenyang 110870, China)

  • Wu Bo

    (School of Engineering, Tibet University, Lhasa 850011, China)

  • Jiashuo Kang

    (School of Architecture and Civil Engineering, Shenyang University of Technology, Shenyang 110870, China)

  • Jianbin Miao

    (School of Architecture and Civil Engineering, Shenyang University of Technology, Shenyang 110870, China)

Abstract

Discontinuous deformation analysis (DDA) is a discontinuum-based and implicit method for investigating the deformational behavior of block systems. The constant acceleration integration (CAI) scheme characterized by unconditional stability is employed in the traditional DDA. In this study, the problems of the CAI scheme regarding the time step in DDA are pointed out. A too large or too small time step size adopted in the CAI scheme will have adverse effects on the DDA computation. To overcome the weaknesses, an alternative composite implicit time integration (CITI) scheme, which is a combination of the trapezoidal rule and the three-point backward Euler method, is implemented in the three-dimensional (3D) DDA method. Verification examples and slope numerical simulations are presented to illustrate the accuracy and effectiveness of the proposed methodology. The results showed that the CITI scheme can overcome the numerical error caused by the large time step size, and the algorithm damping is closely related to the time step size and the selected splitting parameter.

Suggested Citation

  • Guoyang Liu & Junjie Liu & Shouyi Luo & Wu Bo & Jiashuo Kang & Jianbin Miao, 2023. "Development of a Composite Implicit Time Integration Scheme for Three-Dimensional Discontinuous Deformation Analysis," Mathematics, MDPI, vol. 11(18), pages 1-19, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3881-:d:1237700
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/18/3881/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/18/3881/
    Download Restriction: no
    ---><---

    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:11:y:2023:i:18:p:3881-:d:1237700. 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.