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Limit analysis of FGM circular plates subjected to arbitrary rotational symmetric loads using von-Mises yield criterion

Baghani, M ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1007/s00707-013-0828-z
  3. Publisher: 2013
  4. Abstract:
  5. In this paper, employing the limit analysis theorem, critical loading on functionally graded (FG) circular plate with simply supported boundary conditions and subjected to an arbitrary rotationally symmetric loading is determined. The material behavior follows a rigid-perfectly plastic model and yielding obeys the von-Mises criterion. In the homogeneous case, the highly nonlinear ordinary differential equation governing the problem is analytically solved using a variational iteration method. In other cases, numerical results are reported. Finally, the results are compared with those of the FG plate with Tresca yield criterion and also in the homogeneous case with those of employing the von-Mises yield criterion. A good correspondence is observed between the calculated results and those available in the literature
  6. Keywords:
  7. Functionally graded ; Material behavior ; Nonlinear ordinary differential equation ; Numerical results ; Symmetric loadings ; Tresca yield criterion ; Variational iteration method ; Von mises criterion ; Iterative methods ; Ordinary differential equations ; Loading
  8. Source: Acta Mechanica ; Volume 224, Issue 8 , 2013 , Pages 1601-1608 ; 00015970 (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs00707-013-0828-z