Interface waves in multilayered plates.

Area of Science:

• Solid Mechanics
• Materials Science
• Wave Propagation

Background:

• Interface waves in multilayered plates are crucial for non-destructive testing and material characterization.
• Existing models often lack comprehensive theoretical frameworks for complex layered systems.

Purpose of the Study:

• To derive and validate a theoretical model for interface wave propagation in multilayered plates.
• To analyze the dispersion characteristics and wave structures of these waves.
• To experimentally verify the theoretical predictions.

Main Methods:

• Derivation of the characteristic equation for interface waves using potential functions for longitudinal and shear waves.
• Presentation of particle displacement and stress components in explicit forms.
• Analysis of dispersion curves and wave structures for three- and four-layered plates.
• Experimental measurement of group velocities in a three-layered plate for comparison.

Main Results:

• The characteristic equation is presented in a determinant form.
• Dispersion curves show frequency-dependent behavior, converging to Stoneley wave velocities at high frequencies.
• Wave structures indicate high displacement components at interfaces, with frequency-dependent amplitude distributions.
• Experimental group velocities closely match theoretical predictions.

Conclusions:

• The derived theoretical approach accurately predicts interface wave behavior in multilayered plates.
• The study validates the theory through experimental comparison, enhancing understanding of wave phenomena.
• This work provides a foundation for advancing the study and practical applications of interface waves in multilayered structures.