Nonreciprocal phenomenon in nonlinear elastic wave metamaterials with continuous properties
Autor: | Zhen-Ni Li, Yi-Ze Wang, Yue-Sheng Wang |
---|---|
Rok vydání: | 2018 |
Předmět: |
Physics
Coupling Band gap Applied Mathematics Mechanical Engineering Physics::Optics Metamaterial 02 engineering and technology Acoustic wave Stopband 021001 nanoscience & nanotechnology Condensed Matter Physics Crystal Nonlinear system 020303 mechanical engineering & transports Classical mechanics 0203 mechanical engineering Mechanics of Materials Modeling and Simulation General Materials Science Transmission coefficient 0210 nano-technology |
Zdroj: | International Journal of Solids and Structures. 150:125-134 |
ISSN: | 0020-7683 |
DOI: | 10.1016/j.ijsolstr.2018.06.008 |
Popis: | The nonreciprocal phenomenon appears in nonlinear acoustic metamaterial which are composed of a linear phononic crystal and a nonlinear layer. Based on the nonlinear characteristics, the acoustic waves can pass in one direction and are prohibited in reverse. Naturally, people will wonder whether the nonreciprocal phenomenon can be found in nonlinear elastic wave metamaterial. Because of the coupling of the multi-displacements, this problem becomes more complicated but interesting for waves in solid. Motivated by this enlightenment, we will discuss the band gap and transmission properties of elastic waves in both linear and nonlinear periodic systems. The fundamental and double frequency waves can be generated by the interaction between SH waves and the nonlinearity of materials. According to continuity conditions of incident SH wave, the transfer matrices are derived. The stop band and transmission coefficient are obtained by Bloch's law. This research is expected to be helpful to develop new elastic wave metamaterial devices. |
Databáze: | OpenAIRE |
Externí odkaz: |