Implementation of Topological Derivative as an Evolutionary Approach

Structural topology optimization finds the optimal material distribution in the given domain by optimizing the objective function subject to the loading and boundary constraints. Solid Isotropic Material Penalization (SIMP) method is widely used to solve topology optimization due to its simplicity in implementation but the resulting optimal design has fuzzy elements. Topological derivative is another alternative method to solve the topology optimization that finds the variation of objective function due to a small perturbation. In this paper, we implement the topological derivative as an alternative to the SIMP method to get the optimal design without any fuzzy elements. The implementation of the topological derivative as an evolutionary approach presented in this work gives the intermediate designs from full solid to required volume which are fuzzy element free.