In this paper we employ genetic algorithms in order to theoretically design a range of phononic media that can act to prevent or ensure antiplane elastic wave propagation over a specific range of low frequencies, with each case corresponding to a specific pre-stress level. The medium described consists of an array of cylindrical annuli embedded inside an elastic matrix. The annuli are considered as capable of large strain and their constitutive response is described by the popular Mooney–Rivlin strain energy function. The simple nature of the medium described is an alternative approach to topology optimization in phononic media, which although useful, often gives rise to complex phase distributions inside a composite material, leading to more complicated manufacturing requirements.

在本文中，我们采用遗传算法来从理论上设计一系列声子介质，这些声子介质可用来防止或确保反平面弹性波在特定低频范围内的传播，每种情况对应于特定的预应力水平。所描述的介质由嵌入弹性矩阵内部的一系列圆柱环组成。环被认为具有大应变能力，其本构响应由流行的Mooney-Rivlin应变能函数描述。所描述的介质的简单性质是声子介质中拓扑优化的另一种方法，尽管有用，但通常会导致复合材料内部复杂的相分布，从而导致更复杂的制造要求。