Topology optimisation of phononic crystals with band gaps and negative refraction

The PhD thesis has been devoted to developing a reliable topology optimisation algorithm for designing the microstructures of phononic crystals with desirable functionalities. The outcomes of the research promise a wide range of applications in manipulating the propagation of sound and elastic waves in materials and structures, such as sound filters, waveguides, resonant cavities, super lens as well as acoustic cloaking devices. The proposed methodology can be readily and easily extended to design various lightweight materials and structures with novel sound and vibration properties in civil and mechanical engineering.