Thickness-Deformation Collaborative Bandgap Control of Deep-Subwavelength Metallic Kirigami Metasurfaces

Area of Science:

• Materials Science
• Acoustics
• Mechanical Engineering

Background:

• Three-dimensional Kirigami structures are promising for metal-based acoustic regulation devices.
• The bandgap regulation mechanism in these structures, influenced by thickness and deformation, is not fully understood, especially for stiff metals.

Purpose of the Study:

• To systematically investigate the collaborative regulation of band structure by thickness and tensile deformation in metal Kirigami.
• To elucidate the influence of material stiffness on acoustic regulation laws.

Main Methods:

• Finite element simulation and experimental validation were employed.
• An evolution model for modal polarizability (η) based on the bending/tensile stiffness ratio (D/A) was developed.
• Critical thickness for effective bandgaps was proposed.

Main Results:

• An optimal thickness range for efficient bandgap regulation was identified.
• Reversible bandgap closure was achieved with small tensile deformation.
• Thin structures showed stable but less sensitive bandgaps, while thick structures exhibited modal hybridization and frequency shifts.

Conclusions:

• A quantitative
• thickness-stiffness-modal-bandgap
• correlation framework was established for metal Kirigami.
• The findings provide a theoretical basis for engineering high-performance acoustic regulation devices.