Abstract
In this work, the shape optimization problem for 2D elastic orthotropic solids is formulated. The objective function is defined in order to obtain an almost uniform von Mises stress distribution along specified boundary zones. The only constraint is the weight of the solid, although the unconstrained problem is also considered. The method used for the analysis of the section is the BEM, which has important advantages in this kind of problem. The complete formulation is included, as is an explanation in detail of the nonlinear optimization algorithm. Finally several examples and their conclusions are also presented.
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