Metamaterials are generally known for their waves attenuation capabilities. This behaviour, which is related to the microstructure composing these materials, can be due to a Bragg-type scattering mechanism or to local resonances. The objective here is to exploit the two phenomena for generating a system able to localize the energy carried by propagating elastic (or acoustic) waves. To this purpose, we employ a 1D lattice composed of a chain of mass-in-mass particles, connected by elastic springs. The lattice contains an internal defect that causes the energy localization. This configuration allows for a completely analytical description of the problem. Eventually, an extensive discussion on the interaction between the two attenuation mechanisms is also given.

超材料通常以其波衰减能力而闻名。这种行为与构成这些材料的微观结构有关，可能归因于布拉格型散射机制或局部共振。此处的目的是利用这两种现象来生成一个系统，该系统能够对传播弹性（或声）波所携带的能量进行定位。为此，我们采用一维晶格，该一维晶格由质量块粒子链组成，并通过弹性弹簧连接。晶格包含导致能量局部化的内部缺陷。这种配置可以对问题进行完整的分析描述。最终，还对两种衰减机制之间的相互作用进行了广泛的讨论。