期刊
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
卷 26, 期 3, 页码 224-237出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/15376494.2017.1341582
关键词
Metamaterial; dispersion relations; multiple displacements continuum; gradient continuum; nonlocal gradient continuum
类别
资金
- Fundamental Research Funds for the Central Universities [FRF-BR-15-026A]
- National Natural Science Foundation of China [10972029]
The continuum models of two-dimensional crystal lattice of metamaterial are investigated in this paper. The equivalent classical continuum requires the introduction of frequency-dependent mass density that becomes negative or infinite near the resonance frequency. In order to avoid the frequency-dependent mass density and make the dispersive characteristic of the elastic waves propagating in the equivalent continuum approximating that of lattice wave in two-dimensional crystal lattice of metamaterial, three kinds of continuum models, namely, the multiple displacements continuum model, the strain gradient continuum model and the nonlocal strain gradient continuum model, are investigated. It is found that the nonlocal gradient continuum model may better represent the dispersive relation and the bandgap characteristics of the metamaterial by the appropriate selection of nonlocal parameters.
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