Generalized semi-analytical finite difference method for dispersion curves calculation and numerical dispersion...

Area of Science:

• Solid Mechanics
• Materials Science
• Wave Propagation

Background:

• Guided wave analysis is crucial for understanding wave propagation in layered structures.
• Accurate dispersion curve calculation is essential for characterizing wave behavior.
• Anisotropic and layered materials, like composites, present unique challenges in wave analysis.

Purpose of the Study:

• To present an efficient and accurate method for dispersion curve calculation and analysis of numerical models for guided waves.
• To enable the analysis of arbitrarily selected anisotropic materials and layered structures.
• To provide a general framework applicable to various numerical methods.

Main Methods:

• Utilizes the wave equation for analysis.
• Employs through-thickness-only discretization of anisotropic, layered plates.
• Develops a general framework adaptable to different wave propagation simulation methods (e.g., local interaction simulation approach, finite elements).

Main Results:

• Successfully calculates and analyzes dispersion curves for guided waves.
• Demonstrates straightforward analysis of layered structures, including composites.
• Provides application examples showcasing the method's utility.

Conclusions:

• The proposed method offers an efficient and accurate approach for guided wave dispersion analysis in anisotropic layered media.
• The framework is versatile and can be integrated with various numerical techniques.
• The methodology facilitates the study of discretization parameter influences on dispersion curve estimates.