Finite element model for waves guided along solid systems of arbitrary section coupled to infinite solid media.

Area of Science:

• Solid mechanics
• Wave propagation analysis
• Computational acoustics

Background:

• The Semi-Analytical Finite Element (SAFE) method is widely used for analyzing wave propagation in waveguides with arbitrary cross-sections.
• Previous research has focused on lossless elastic waves, non-propagating waves, and viscoelastic guides.
• Wave attenuation due to material leakage is a critical factor in many practical waveguide applications.

Purpose of the Study:

• To develop and validate a new procedure for calculating wave attenuation in waveguides caused by leakage into surrounding materials.
• To extend the capabilities of the SAFE method to address energy dissipation in guided wave systems.
• To provide a robust computational tool for analyzing waveguides immersed in fluids or embedded in solids.

Main Methods:

• The study employs the Semi-Analytical Finite Element (SAFE) method.
• It incorporates absorbing regions at the exterior boundaries of the discretized domain to model material leakage.
• The procedure is validated through numerical examples.

Main Results:

• The developed procedure accurately quantifies wave attenuation resulting from leakage.
• The use of absorbing regions effectively simulates energy dissipation into the surrounding medium.
• The method is demonstrated to be effective for waveguides in various immersion and embedding scenarios.

Conclusions:

• The presented SAFE method extension effectively models wave attenuation due to leakage in waveguides.
• This approach offers a valuable tool for analyzing complex guided wave phenomena in practical engineering problems.
• The incorporation of absorbing regions is a key advancement for simulating energy dissipation in waveguide systems.