Calculation of reflection and transmission coefficients for waves in multilayered piezoelectric structures using the...

Area of Science:

• Solid Mechanics
• Materials Science
• Wave Propagation

Background:

• Anisotropic multilayered piezoelectric structures exhibit complex elastic wave behavior.
• Understanding reflection and transmission (R/T) is crucial for device design and performance.
• Existing methods may lack efficiency or generality for such complex systems.

Purpose of the Study:

• To develop and validate an efficient method for analyzing elastic wave R/T in anisotropic multilayered piezoelectric structures.
• To provide a robust computational framework for predicting wave propagation characteristics.
• To investigate the influence of various parameters on wave behavior.

Main Methods:

• The mixed variable method, utilizing a mixed energy matrix, was employed.
• Displacement and stress vectors served as fundamental variables.
• Wave equations were transformed into a first-order state equation within a Hamiltonian system.
• A recursive algorithm efficiently constructed the global mixed energy matrix.
• Eigenvalues and eigenvectors of the complex Hamiltonian matrix were utilized.

Main Results:

• The mixed variable method was successfully applied to derive R/T coefficients for anisotropic multilayered piezoelectric structures.
• Numerical examples demonstrated the robustness and efficiency of the proposed method.
• The study analyzed the impact of incident angles, wavenumbers, and critical angles on R/T coefficients.

Conclusions:

• The mixed variable method offers an effective and robust approach for analyzing elastic wave propagation in complex piezoelectric structures.
• The findings provide valuable data for the design and optimization of piezoelectric devices.
• Further research can extend this method to other complex wave phenomena.