Abstract
Using Hill's criterion for yielding of an orthotropic material, the plastic design of a plate having minimum volume is investigated. A stress-function approach is proposed for finding an approximate solution to the non-linear optimization problem. The possibility of using piecewise linear representations of the yield surface in order to reduce the problem to a linear one is also explored. Numerical results are presented for a circular plate under axisymmetric loading, and it is demonstrated that solutions to the linearized problems provide bounds upon the volume of material required by the Hill condition.
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