Abstract
The present study introduces a derivation of analytical sensitivity for topology optimization of composites considering elastoplastic deformation to maximize the energy absorption capacity under a prescribed material volume. For optimization applying a gradient-based method, the accuracy of sensitivities is critical to obtain a reliable optimization result, especially in the vicinity of undifferentiable points such as yield points and unloading starting points in the stress-strain curve. In the previous authors' work1), it is verified that the proposed analytical sensitivity can provide highly accurate sensitivities over yield points under loading situation. In this study, as an extension to a more realistic loading situation, we demonstrate topology optimization under cyclic loading condition and verify the accuracy of the proposed sensitivity approach by comparing with that evaluated from the finite difference approach.
