Complex Rayleigh Waves in Nonhomogeneous Magneto-Electro-Elastic Half-Spaces

Area of Science:

• Solid Mechanics
• Materials Science
• Wave Propagation

Background:

• Complex Rayleigh waves are crucial for energy conversion in magneto-electro-elastic devices.
• Understanding wave propagation is essential for engineering applications.

Purpose of the Study:

• To investigate complex Rayleigh wave propagation in nonhomogeneous magneto-electro-elastic half-spaces.
• To develop an efficient numerical method for analyzing wave characteristics.

Main Methods:

• Modification of the Laguerre orthogonal polynomial method.
• Incorporation of boundary conditions into constitutive relations.
• Transformation of the wave equation solution into an eigenvalue problem.

Main Results:

• Obtained all wave modes, including real, imaginary, and complex wavenumbers.
• Presented 3D curves of frequency spectrum and phase velocities.
• Analyzed displacement, electric, and magnetic potential distributions.

Conclusions:

• The modified method simplifies calculations and reduces solving time.
• Results provide insights into the conversion of complex to real wave modes.
• Findings support the optimization and fabrication of acoustic surface wave devices.