期刊
WAVE MOTION
卷 63, 期 -, 页码 98-110出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.wavemoti.2016.02.001
关键词
Phononic switch; Configurable; Tunable; Band gaps; Pre-stress; Hyperelastic
资金
- Leverhulme Trust [F/00120/CC]
- Engineering and Physical Sciences Research Council [EP/L018039/1]
- Royal Society
- EPSRC [EP/I01912X/1, EP/L018039/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/I01912X/1, EP/L018039/1, EP/M026205/1] Funding Source: researchfish
The effect of nonlinear elastic pre-stress on antiplane elastic wave propagation in a two-dimensional periodic structure is investigated. The medium consists of cylindrical annuli embedded on a periodic square lattice in a uniform host material. An identical inhomogeneous deformation is imposed in each annulus and the theory of small-on-large is used to find the incremental wave equation governing subsequent small-amplitude antiplane waves. The plane-wave-expansion method is employed in order to determine the permissable eigenfrequencies. It is found that pre-stress significantly affects the band gap structure for Mooney Rivlin and Fung type materials, allowing stop bands to be switched on and off. However, it is also shown that for a specific class of materials, their phononic properties remain invariant under nonlinear deformation, permitting some rather interesting behaviour and leading to the possibility of phononic cloaks. (C) 2016 The Authors. Published by Elsevier B.V.
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