2014 Volume 2014 Pages 20140012
The present study proposes a topology optimization of composites considering elastoplastic deformation to maximize the ductility of a structure under a prescribed material volume. The concept of a so-called multiphase material optimization, which is originally defined for a continuous damage model, is extended to elastoplastic composites with appropriate regularization for material properties in order to regularize material parameters between two constituents. For optimization applying a gradient-based method, the accuracy of sensitivities is critical to obtain a reliable optimization result. In this study, we formulate the analytical sensitivity for topology optimization considering elastoplastic composites and observe its accuracy by comparing with that evaluated from the finite difference approach. It was verified that the proposed method can provide highly accurate sensitivity enough to obtain reliable optimization results.
