Binary topology optimization for coated structures

Abstract We present an approach to binary topology optimization for coated structures. We study a modified version of the standard minimum heat compliance problem that incorporates a coating layer with different conductivity and cost compared to the base material. Our methodology involves defining the discrete material distribution and employing morphology-mimicking non-linear filter operators. We evaluate the effectiveness of our approach through numerical experiments conducted on a modified version of the classic thermal minimal compliance problem. The results demonstrate that our proposed method generates optimized designs that achieve excellent performance for various coating thicknesses. Moreover, the results highlight the interplay between the relative conductivity and cost of the base material and the coating.