A new fluid-based strategy for the connection of non-matching lattice materials

We present a new algorithm for the design of the connection region between di erent lattice materials. We solve a Stokes- type topology optimization problem on a narrow morphing region to smoothly connect two di erent unit cells. The proposed procedure turns out to be e ective and provides a local re-design of the materials, leading to a very mild modi cation of the mechanical behavior characterizing the original lattices. The robustness of the algorithm is assessed in terms of sensitivity of the nal layout to di erent parameters. Both the cases of Cartesian and non-Cartesian morphing regions are successfully investigated.