Waves and damage in structured solids with multi-scale resonators

作者：Jones I S^*; Movchan A B; Gei M

来源：Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, 2011, 467(2128): 964-984.

DOI：10.1098/rspa.2010.0319

• phononic band gaps
• Bloch-Floquet waves
• asymptotics

This paper presents asymptotic and numerical modelling of elastic waves interacting with micro-structured solids containing multi-scale resonators. The resonators may be damaged by transverse cracks at their foundations. One particular feature of the resonators used here is the presence of low-frequency eigenmodes. Asymptotic estimates of low eigenfrequencies are included in the model. Hence, the overall periodic structure containing such resonators may support low-frequency standing waves and possess low-frequency stop bands. The analytical model is accompanied by numerical simulations illustrating dispersion, localization and focusing within the structured multi-scale solids.

• 出版日期2011-4-8