Abstract
In previous reports, an optimization method for a two-dimensional structure subjected to a plastic deformation was presented and some numerical examples were shown to demonstrate the validity of the algorithm. The algorithms is based on the generalized layout optimization method presented by Bends■e and Kikuchi, where an admissible design domain is assumed to be composed of microstructures with cavities and the cavity size and the rotational angle of the microstructures are design valuables. In this study, the method is applied to a thin shell based on the layered approach subjected to a plastic deformation, For the sensitivity analysis, two-dimensional data base of macroscopic elasto-plastic material tensor which was calculated by the homogenization method is adapted to the in-plane stiffness of each layer. Several numerical examples are shown to validate the present method. The algorithm is also adapted to finite deformation problems. The effectiveness of this method is shown by a numerical example.
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