Ultrawide phononic band gap for combined in-plane and out-of-plane waves.

By Osama R. Bilal, Mahmoud I. Hussein. 2011

220 citations recorded by the source corpus.

We consider two-dimensional phononic crystals formed from silicon and voids, and present optimized unit-cell designs for (1) out-of-plane, (2) in-plane, and (3) combined out-of-plane and in-plane elastic wave propagation. To feasibly search through an excessively large design space (~10(40) possible realizations) we develop a specialized genetic algorithm and utilize it in conjunction with the reduced Bloch mode expansion method for fast band-structure calculations. Focusing on high-symmetry plain-strain square lattices, we report unit-cell designs exhibiting record values of normalized band-gap size for all three categories. For the case of combined polarizations, we reveal a design with a normalized band-gap size exceeding 60%.

Subfields: Biomedical Engineering, Cognitive Neuroscience, Mechanics of Materials

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Yong Xiao
2. Jihong Wen
3. Xisen Wen
4. G. Wang
5. N. J. Gerard
6. Yun Jing
7. Yuanchen Deng
8. Zhi Chen

In Cognitive Neuroscience

1. G. Wang
2. Xisen Wen
3. Jihong Wen
4. Yong Xiao
5. N. J. Gerard
6. Yun Jing
7. Yuanchen Deng
8. Mourad Oudich

In Mechanics of Materials

1. Xisen Wen
2. Jihong Wen
3. Yong Xiao
4. G. Wang
5. N. J. Gerard
6. Yun Jing
7. Yuanchen Deng
8. Mourad Oudich

Citations in the corpus

• How to See Hidden Patterns in Metamaterials with Interpretable Machine Learning (2021, background): “[4] Osama R Bilal, Mahmoud I Hussein, Ultrawide phononic band gap for combined in-plane and out-of-plane waves, Phys.”
• Theoretical and Experimental Study of Locally Resonant and Bragg Band Gaps in Flexural Beams Carrying Periodic Arrays of Beam-Like Resonators (2013, methodology): “To achieve broadband band gaps, a proven method is using topology optimization techniques to maximize band gap sizes [19–24].”
• Architected Lattices for Simultaneous Broadband Attenuation of Airborne Sound and Mechanical Vibrations in All Directions (2018, background): “(ii) Elastic lattices, controlling the propagation of stress waves and vibrations in solid materials, can feature alternating material phases within the unit cell [2,24–28], with vast differences in mechanical properties, or single material with geometric features, such as holes [29,30], leading to ”
• Tailoring Structure‐Borne Sound through Bandgap Engineering in Phononic Crystals and Metamaterials: A Comprehensive Review (2022, methodology): “(b) 2D PnCs designed using genetic algorithm for BG maximization [220].”