Abstract：Phononic crystals (PnCs) is a kind of periodic composite with elastic band-gap characteristics, the distribution of elastic materials within a unit cell has significant effect on the band-gaps. In this paper, the topology optimization (TOP) techniques are utilized to obtain two-dimensional (2D) square lattice Cu/Epoxy PnCs with maximized relative band-gaps between multiple consecutive bands. The optimization follows two-stage design process which adopts genetic algorithms (GAs) and plane wave expansion method (PWE). The results show that the optimal PnCs with different band-gaps, which can easily be found by the developed method, have different material layout, and the PnCs with the lowest band-gap are simple lattice and have the highest value of application.
2015, Vol. 36 
