Topology optimization of scale-dependent non-local plates

Abstract The main objective of this work is to extend finite element-based topology optimization problem the two-dimensional, size-dependent structures described using weakly non-local Cosserat (micropolar) and strongly Eringen’s theories, latter which finds an application for first time, best Authors’ knowledge. optimum material layouts that minimize structural compliance are attained by means Solid Isotropic Material with Penalization approach, while desired smooth, mesh-independent, binary solutions obtained density filter accompanied volume preserving Heaviside projection method. algorithms enhanced including element removal reintroduction strategy reduce computational cost, prevent spurious excessive distortion elements very low density. Example problems practical importance investigated under assumption linear elasticity validate code clearly demonstrate influence internal length scales different non-locality mechanisms on final configurations. Obtained macro-scale topologies admit characteristics corresponding continuum appear be in agreement mechanical response governed particle interactions micro/nanoscale.