Propagation of SH waves in functionally gradient electromagnetoelastic half-space

Area of Science:

• Solid Mechanics
• Materials Science
• Electromagnetism

Background:

• Functionally gradient materials (FGMs) offer tunable properties.
• Magnetoelectric (ME) materials couple electric and magnetic responses.
• Understanding wave propagation is crucial for device applications.

Purpose of the Study:

• To analyze shear-horizontal (SH) wave propagation in a functionally gradient magnetoelectric (ME) half-space.
• To derive explicit dispersion relations for different nonhomogeneity profiles.
• To investigate the influence of material gradients on wave characteristics.

Main Methods:

• Theoretical analysis of SH wave propagation.
• Application of magnetoelectric open boundary conditions.
• Derivation of dispersion relations for a half-space model.
• Consideration of varying material property gradients.

Main Results:

• Explicit dispersion relations for SH waves were obtained.
• The study provides a framework for analyzing wave propagation in nonhomogeneous ME materials.
• Results highlight the impact of gradient variations on wave behavior.

Conclusions:

• The derived dispersion relations offer insights into SH wave mechanics in FG-ME materials.
• This research contributes to the theoretical understanding of wave phenomena in advanced functional materials.
• The findings can inform the design of novel ME devices utilizing wave propagation.