Abstract 

The objective of this paper is to present a peerreview of the literature and trends surrounding the design of phononic crystals (PnCs) using topology optimization methods. After first providing a brief review of new developments, improvements, and applications of PnCs, this paper investigates the techniques and applications of topology optimization methods for phononic band gaps and functional structures. Both gradient-based and nongradient-based topology optimization methods have been employed in the design of PnCs. The advantages and drawbacks of the methods used in this area are discussed in detail in this paper. Based on observations of the current state, we highlight suggestions and ideas for future research in the field of phononic crystal design optimization. The paper examines how applying topology optimization techniques into the design of PnCs yields promising performance and functions. This literature survey is designed to provide an overview of the recent advances and novel applications of popular topology optimization methods for the design of PnCs.