Ottimizzazione topologica per solidi micropolari

The theory of micropolar continua is an extension of the classical theory of Cauchy’s continua. In this paper a procedure is proposed for the topological optimization of structures made of micropolar solids in view of the maximization of their elastic stiffness. The minimum flexibility problem, with a constraint on the volume fraction, is solved through an augmented Lagrangian functional. Some numerical examples are shown, focusing in particular on structural interfaces. The results show that the obtained optimal topologies agree with the real shape of biological tissues and indicate that the proposed procedure can be employed in the definition of the optimal topology of structures made of nonlocal artificial materials.