Related Experiment Video
Updated: Mar 30, 2026
11:08
Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
Published on: November 30, 2012
19.6K
Inverse characterization of plates using zero group velocity Lamb modes
Clemens Grünsteidl1, Todd W Murray2, Thomas Berer1
1Research Center for Non-Destructive Testing GmbH (RECENDT), Altenberger Str. 69, 4040 Linz, Austria.
Ultrasonics
|November 4, 2015
Summary
This study introduces a method to characterize plates using zero group velocity Lamb modes. This technique accurately determines material properties like elastic constants from experimental data.
Area of Science:
- Solid Mechanics
- Materials Science
- Acoustics
Background:
- Lamb modes are crucial for non-destructive material characterization.
- Zero group velocity (ZGV) Lamb modes offer unique sensitivity to material properties.
- Accurate determination of elastic constants is vital for material performance prediction.
Purpose of the Study:
- To develop and validate a method for characterizing plate materials using ZGV Lamb modes.
- To establish analytical expressions for ZGV Lamb mode analysis.
- To determine the elastic properties of specific metal plates (tungsten and aluminum).
Main Methods:
- Derivation of analytical expressions for k-ω (wavenumber-angular frequency) location of ZGV modes.
- Numerical solution of these analytical expressions.
- Formulation of an inverse problem to extract wave velocities.
- Application to experimental frequency spectra data.
Main Results:
- Successful derivation of analytical expressions relating ZGV modes to Poisson's ratio.
- Numerical validation of the analytical model.
- Demonstrated ability to determine unknown wave velocities in plates.
- Accurate determination of elastic properties for tungsten and aluminum plates.
Conclusions:
- ZGV Lamb modes provide a powerful tool for precise plate characterization.
- The developed analytical and inverse methods enable accurate determination of elastic properties.
- This approach is experimentally validated and applicable to various metallic materials.
Related Concept Videos
01:28Standing Waves in a Cavity
1.6K
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
1.6K
01:15Dimensionless Groups in Fluid Mechanics
913
Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...
913
01:23Transfer function and Bode Plots-II
1.0K
In the standard form, the transfer function is shown in constant gain, poles/zeros at origin, simple poles/zeros, and quadratic poles/zeros; each contributing uniquely to the system's overall response. The term represents the magnitude of the simple zero:
1.0K
01:17Steady, Laminar Flow Between Parallel Plates
1.0K
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
1.0K
01:20Instantaneous Center of Zero Velocity
959
General plane motion, often observed in a rolling wheel, refers to a type of movement where the wheel is simultaneously rotating and translating. This complex motion can be understood by breaking it down into individual components.
To analyze this, consider two points on the wheel: point A and point B. The absolute velocity of point B can be expressed as the vector sum of the absolute velocity of point A and the relative velocity of point B with respect to point A. To simplify this analysis,...
To analyze this, consider two points on the wheel: point A and point B. The absolute velocity of point B can be expressed as the vector sum of the absolute velocity of point A and the relative velocity of point B with respect to point A. To simplify this analysis,...
959
01:27Traveling Waves: Lossless Lines
520
The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx and a shunt capacitance CΔx.
520