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Fabricating Metamaterials Using the Fiber Drawing Method
Published on: October 18, 2012
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Dynamic continualization of mechanical metamaterials with quasi-periodic microstructure
Rosaria Del Toro1, Maria Laura De Bellis1, Andrea Bacigalupo2
1Department INGEO, University of Chieti-Pescara, Viale Pindaro 42 , Pescara, Italy.
Summary
This study characterizes quasi-periodic metamaterials using Fibonacci sequences. Researchers analyzed their frequency band structure and proposed a new scheme to model them as continua.
Area of Science:
- Materials Science
- Condensed Matter Physics
- Wave Physics
Background:
- Quasi-periodic metamaterials offer unique wave manipulation properties.
- Fibonacci sequences generate complex, self-similar microstructures.
- Understanding their band structure is crucial for device applications.
Purpose of the Study:
- To characterize elastic quasi-periodic metamaterials based on Fibonacci sequences.
- To analyze the self-similarity of their frequency band structure.
- To develop and validate a high-frequency continualization scheme.
Main Methods:
- Transfer matrix method for calculating band structure of periodic approximants.
- Analysis of symplectic transfer matrix invariants and transmission coefficients.
- High-frequency continualization scheme for identifying non-local continua.
Main Results:
- Determined the frequency band structure of Fibonacci-generated metamaterials.
- Demonstrated self-similarity in the band structure.
- Validated the proposed continualization scheme against Floquet-Bloch theory.
Conclusions:
- The study provides a method for characterizing Fibonacci-based quasi-periodic metamaterials.
- The continualization scheme offers a way to model these complex materials as continua.
- Findings contribute to the understanding of elastic and acoustic metamaterials.
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