Computation of plate wave dispersion diagrams and surface wave velocities without explicit boundary conditions

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
V LaudeZhi-Lin Hou

Abstract

We discuss the computation of the band structure of plate waves using the plane wave expansion (PWE) method. This method is generally used to formulate eigenvalue problems to compute dispersion diagrams for solid-solid phononic crystals. We show how the free surface boundary condition can be included implicitly in the form of the PWE solution, thus leading to an efficient eigenvalue problem. This generic method for wave dispersion is non-iterative and does not require an initial guess for the solution. Furthermore, surface acoustic wave velocities can be estimated from the slowest wave for large wave vectors. Examples for a single plate and a multilayer plate are given, and extension to piezoelectric materials is discussed.

References

Sep 27, 1993·Physical Review Letters·M S KushwahaB Djafari-Rouhani
Sep 26, 2001·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·P VenturaM Solal
Aug 3, 2002·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Eng Leong Tan
Sep 24, 2002·The Journal of the Acoustical Society of America·Mikaël WilmThomas Pastureaud
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vincent LaudeAbdelkrim Khelif
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Citations

Dec 16, 2011·Ultrasonics·Sahar A El-NaggarNadia H Rafat

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