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Theory and experiments on elastic band gaps

Garcia-Pablos¹, Sigalas, Montero De Espinosa FR

¹Laboratorio de Fisica de Sistemas Pequenos y Nanotecnologia, Consejo Superior de Investigaciones Cientificas (CSIC), Serrano 144, 28006 Madrid, Spain.

Physical Review Letters

|September 16, 2000

Summary

Researchers explored elastic band gaps in finite periodic materials using a novel finite-difference time-domain method. This approach accurately interprets experimental data for diverse composite structures, demonstrating its effectiveness in material science.

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Area of Science:

Materials Science
Acoustic Metamaterials
Solid Mechanics

Background:

Elastic band gaps are crucial for controlling wave propagation in periodic media.
Previous methods struggled with realistic finite composite structures and large parameter contrasts.

Purpose of the Study:

To introduce and validate the finite-difference time-domain (FDTD) method for analyzing elastic band gaps in finite nonhomogeneous periodic media.
To interpret experimental data for 2D systems with fluid inclusions in an aluminum host.

Main Methods:

Application of the finite-difference time-domain (FDTD) method.
Analysis of two-dimensional systems with periodically inserted fluid cylinders (Hg, air, oil) in a finite aluminum slab.

Main Results:

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The FDTD method demonstrated good convergence for elastic band gap analysis.
The method successfully interpreted experimental data for realistic finite composite slabs.
Effective application to composites with significant variations in elastic parameters.

Conclusions:

The FDTD method is a powerful and versatile tool for studying elastic band gaps in finite periodic materials.
This approach offers accurate interpretation of experimental results for complex composite systems.