IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v86y2012icp118-130.html
   My bibliography  Save this article

Extended Kantorovich method for static analysis of moderately thick functionally graded sector plates

Author

Listed:
  • Aghdam, M.M.
  • Shahmansouri, N.
  • Mohammadi, M.

Abstract

In this paper, an iterative procedure based on the extended Kantorovich method (EKM) is presented to gain highly accurate solution for bending of moderately thick functionally graded (FG) fully clamped sector plates. Effective mechanical properties of the sector plates assumed to be defined by a power law distribution. The governing equations, using First Order Shear Deformation Theory (FSDT), include five second order partial differential equations in terms of displacements and rotations. Successive application of the EKM converts the governing partial differential equations (PDEs) to two sets of five ordinary differential equations (ODEs) in terms of r and θ. These ODE systems are then solved iteratively which shows very fast convergence. It is shown that how the same method and formulation can be used for solid sector and rectangular plates. It is also demonstrated that the method is very fast convergent as three to four iterations are enough to obtain final results with desired accuracy. Predictions for fully clamped FG sector plates are compared with finite element code ANSYS, which show close agreement. Comparison of the results for rectangular plates shows good agreement with existing literature.

Suggested Citation

  • Aghdam, M.M. & Shahmansouri, N. & Mohammadi, M., 2012. "Extended Kantorovich method for static analysis of moderately thick functionally graded sector plates," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 86(C), pages 118-130.
    • Handle: RePEc:eee:matcom:v:86:y:2012:i:c:p:118-130
    DOI: 10.1016/j.matcom.2010.07.029
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475410002661
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2010.07.029?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:eee:matcom:v:86:y:2012:i:c:p:118-130. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.