Related Experiment Video
Updated: Jul 13, 2026
06:07
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Guided waves in elastic plates with Gaussian section variation: experimental and numerical results
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
Ultrasonics
|July 31, 2007
Summary
Guided waves in elastic plates with varying thickness transform into adiabatic waves. Researchers experimentally and numerically quantified this wave conversion and trapping phenomenon.
Area of Science:
- Solid Mechanics
- Wave Propagation
- Acoustics
Background:
- Lamb waves are crucial for non-destructive testing and material characterization.
- Understanding wave behavior in non-uniform structures is essential for advanced applications.
Purpose of the Study:
- To investigate the behavior of guided waves in elastic plates with Gaussian-shaped thickness variations.
- To experimentally and numerically analyze wave conversion and trapping phenomena.
Main Methods:
- Experimental measurements of normal displacement and energy carried by Lamb waves.
- Numerical simulations using the Finite Element Method (FEM).
Main Results:
- Incident Lamb waves convert to adiabatic waves within the Gaussian varying section.
- Wave trapping is observed, dependent on incident mode and Gaussian height.
- Conversion into different Lamb wave modes occurs outside the varying section.
Conclusions:
- The study successfully demonstrates and quantifies wave conversion and trapping in elastic plates with varying thickness.
- FEM simulations accurately replicate experimental observations, validating the numerical approach.
Related Concept Videos
01:20Elastic Strain Energy for Shearing Stresses
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
01:17Sound as Pressure Waves
Sound waves, which are longitudinal waves, can be modeled as the displacement amplitude varying as a function of the spatial and temporal coordinates. As a column of the medium is displaced, its successive columns are also displaced. As the successive displacements differ relatively, a pressure difference with the surrounding pressure is created. The gauge pressure varies across the medium.
The pressure fluctuation depends on the difference in displacements between the successive points in the...
The pressure fluctuation depends on the difference in displacements between the successive points in the...
01:12Fluid Pressure over Curved Plate of Constant Width
When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
01:19Members Made of Elastoplastic Material
The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
As the bending moment...
As the bending moment...
01:02Fluid Pressure over Flat Plate of Variable Width
When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and buoyancy. To understand the behavior of the fluid over a flat plate of variable width, it is essential to analyze the distribution of the pressure exerted.
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...
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...
01:22Elastic Strain Energy for Normal Stresses
Strain energy quantifies the energy stored within a material due to deformation under loading conditions, a fundamental concept in materials science and engineering. The strain energy can be modeled when a material is subjected to axial loading with uniformly distributed stress. In this scenario, the stress experienced by the material is the internal force divided by the cross-sectional area, and the strain induced is directly proportional to this stress through the modulus of elasticity.
If...
If...