Guided waves in elastic plates with Gaussian section variation: experimental and numerical results
Related Experiment Video
Updated: Jul 13, 2026

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
P Marical1, M Ech-Cherif El-Kettani, M V Predoi
1Laboratoire d'Acoustique, Ultrasonore et d'Electronique (LAUE), UMR CNRS 6068, Université du Havre, Place Robert Schuman, BP 4006, 76610 Le Havre, France. Patrick.marical368@univ-lehavre.fr
Abstract:
Experimental and numerical results are presented on the behavior of guided waves in elastic plates in plane strain that include a Gaussian variation of their section, located between two areas of constant thickness. The area of varying section is wide compared to the used wavelengths, which allows wave propagation inside this area. The experimental results show that an incident Lamb wave is indeed converted into an adiabatic wave inside the varying section domain. A trapped wave in the Gaussian domain is also observed, depending on the incident mode and on the Gaussian maximum height. Outside the varying section domain, conversion into different Lamb waves is observed. This conversion phenomenon is experimentally quantified by the measurement of the Lamb wave normal displacement and of its carried energy. A numerical study, based on the Finite Elements Method is performed, and successfully compared to the experimental results.
Related Concept Videos
Elastic Strain Energy for Shearing Stresses
Sound as Pressure Waves
The pressure fluctuation depends on the difference in displacements between the successive points in the...
Fluid Pressure over Curved Plate of Constant Width
Members Made of Elastoplastic Material
As the bending moment...
Fluid Pressure over Flat Plate of Variable Width
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
Elastic Strain Energy for Normal Stresses
If...
