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Updated: Jan 3, 2026
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Characterizing Dissipative Elastic Metamaterials Produced by Additive Manufacturing
Published on: June 28, 2024
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Waves in elastic bodies with discrete and continuous dynamic microstructure.
Gennady S Mishuris1, Alexander B Movchan2, Leonid I Slepyan3
1Department of Mathematics, IMPACS, Aberystwyth University, Aberystwyth SY23 3BZ, UK.
Summary
This study models elastic solids with dynamic microstructures using Green's kernel. It reveals how microstructures influence dispersion relations and energy distribution, including vibration shielding effects.
Area of Science:
- Solid Mechanics
- Materials Science
- Wave Propagation
Background:
- Understanding the dynamic behavior of structured media is crucial for advanced material design.
- Modeling complex interactions within elastic solids with embedded microstructures presents significant challenges.
Purpose of the Study:
- To develop a unified approach for modeling elastic solids with embedded dynamic microstructures.
- To analyze the impact of microstructural characteristics on wave propagation and energy distribution.
Main Methods:
- Utilizing Green's kernel formulations for deriving general dependencies.
- Investigating systems with a master structure and distributed oscillators (continuous and discrete).
- Analyzing various connection types between oscillators.
Main Results:
- Established relationships between microstructure and dispersion relations.
- Quantified energy distribution between master structures and microstructures.
- Observed phenomena such as vibration shielding and trapped vibrations.
- Comparative analysis of discrete versus continuous oscillator distributions.
Conclusions:
- The unified approach effectively models complex dynamic phenomena in structured media.
- Microstructure significantly dictates wave propagation characteristics and energy localization.
- Non-locality and trapped vibrations are key effects influenced by microstructure.
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