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Elastic wave control in reticulated plates using Schwarz primitive cells.
Aida Hejazi Nooghabi1, Henrik R Thomsen2, Bao Zhao1
1Department of Civil Environmental and Geomatic Engineering, ETH Zurich, Zurich, Switzerland.
Summary
Researchers used Schwarz primitive unit cells to create elastic metamaterials. They demonstrated a bandgap and designed a metabarrier and metalens, achieving practical validation of wave focusing in a 3D printed plate.
Area of Science:
- Solid Mechanics
- Materials Science
- Acoustics
Background:
- Metamaterials offer unique ways to control wave propagation.
- The Schwarz primitive unit cell is a versatile building block for designing complex structures.
Purpose of the Study:
- To utilize the Schwarz primitive unit cell for steering and focusing elastic vibrations.
- To design and validate elastic metamaterial structures like metabarriers and metalenses.
Main Methods:
- Experimental validation of Bragg-type bandgaps in 2D plates.
- Numerical design of metabarriers and metalenses using modified Schwarz unit cells.
- Mesoscale experimental validation of wave focusing in 3D printed structures.
Main Results:
- Increasing mass and porosity of unit cells lowers the frequency of out-of-plane waves.
- A metabarrier effectively shields an area from 1.4-3.4 kHz waves.
- A metalens was designed by grading unit cell properties, achieving practical wave bending.
Conclusions:
- Schwarz primitive unit cells are effective for elastic vibration control.
- Metamaterial designs enable wave focusing and shielding with potential for lightweight and additive manufacturing benefits.
