研究目的
Investigating the ability of the relaxed micromorphic model to describe transient wave propagation in anisotropic band-gap metastructures, including localised waveforms in the band-gap and higher frequencies, compared to a classical Cauchy linear elastic continuum.
研究成果
The relaxed micromorphic model effectively captures the transient wave propagation in anisotropic band-gap metastructures, including localised waveforms in the band-gap and higher frequencies, outperforming the classical Cauchy continuum model outside the low frequency regime. The model offers significant computational time savings compared to fully resolved micro-structured simulations.
研究不足
The study focuses on a specific two-dimensional metamaterial with tetragonal symmetry. The characteristic length scale Lc is set to zero, potentially overlooking non-local effects. The comparison is limited to bulk propagation phenomena, and scattering phenomena at interfaces are not considered.
1：Experimental Design and Method Selection:
The study involves comparing the dynamic response of a micro-structured material to that of continua modeled by the relaxed micromorphic and Cauchy theories. The methodology includes finite element solutions for transient problems in both micro-structured and continuum domains.
2：Sample Selection and Data Sources:
The micro-structured material is a two-dimensional metamaterial with tetragonal symmetry, featuring cross-shaped holes in an aluminium matrix. Data sources include Bloch-Floquet analysis for dispersion properties and finite element simulations for transient responses.
3：List of Experimental Equipment and Materials:
The study uses COMSOL Multiphysics for finite element simulations. The material parameters for aluminium and the relaxed micromorphic model are specified, including elastic moduli and mass density.
4：Experimental Procedures and Operational Workflow:
The procedure involves applying space-concentrated and time-modulated pulses to the micro-structured and continuum domains, then comparing the resulting waveforms across different frequency regimes.
5：Data Analysis Methods:
The analysis includes comparing dispersion diagrams and transient waveforms obtained from the micro-structured domain, relaxed micromorphic model, and Cauchy continuum model.
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