Polynomial Boundary Perturbation for Optimal Plastic Design of Heads of Plane Tension Members
The paper presents the boundary perturbation method applied to optimaI plastic shape design. Perfect plasticity is assumed. The procedure consists of two steps: determination of a class of fully plastic solutions in the limit state, and then the choice of the optimaI shape from among those solutions. A trigonometric polynomial with n terms is assumed for the general solution. FinaI resuIts are given for a binomial. Moreover, a further step towards optimization is done by using extrapolation. The results are verified by the ADINA program.
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