IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/9142193.html
   My bibliography  Save this article

Development of High-Order Infinite Element Method for Bending Analysis of Mindlin–Reissner Plates

Author

Listed:
  • D. S. Liu
  • Y. W. Chen
  • C. J. Lu

Abstract

An approach is presented for solving plate bending problems using a high-order infinite element method (IEM) based on Mindlin–Reissner plate theory. In the proposed approach, the computational domain is partitioned into multiple layers of geometrically similar virtual elements which use only the data of the boundary nodes. Based on the similarity, a reduction process is developed to eliminate virtual elements and overcome the problem that the conventional reduction process cannot be directly applied. Several examples of plate bending problems with complicated geometries are reported to illustrate the applicability of the proposed approach and the results are compared with those obtained using ABAQUS software. Finally, the bending behavior of a rectangular plate with a central crack is analyzed to demonstrate that the stress intensity factor (SIF) obtained using the high-order PIEM converges faster and closer than low-order PIEM to the analytical solution.

Suggested Citation

  • D. S. Liu & Y. W. Chen & C. J. Lu, 2020. "Development of High-Order Infinite Element Method for Bending Analysis of Mindlin–Reissner Plates," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-13, October.
    • Handle: RePEc:hin:jnlmpe:9142193
    DOI: 10.1155/2020/9142193
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2020/9142193.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2020/9142193.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/9142193?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlmpe:9142193. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.