Abstract

A method for solving the non-linear problem of minimum volume design of sandwich axisymmetric plates obeying the Mises criterion is presented; it is a version of the statical method in which use is made of techniques of the calculus of variations. These techniques are extended for application to the case of unbounded minimal solutions. Several specific examples are worked out for loadings in which the applied forces point to the same direction and support is provided at the inner and outer edges only. It is shown that the characteristic features of the minimal designs are independent of other peculiarities of such loadings, when the plate is supported at one edge only. The results of the paper are compared to those of similar cases of plates obeying the Tresca criterion.

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