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In this paper, arbitrary rotational symmetric loadings on circular and annular plates have been discussed. In this way, an approach is introduced in order to compute the critical load factor for the imposed loadings. The considered plates are assumed to be made of materials obeying arbitrary yield criteria. It is shown that the new approach not only generates the solutions that exist in the literature, but also it can create solutions for cases that have not yet been solved by other methods. Of special attention is the case of von Mises criterion. © 2002 Elsevier Science Ltd. All rights reserved  

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...