Related Experiment Video
Updated: Jun 20, 2026
15:06
Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
Published on: January 3, 2016
Quantification of material nonlinearity in relation to microdamage density using nonlinear reverberation
K Van Den Abeele1, P Y Le Bas, B Van Damme
1Interdisciplinary Research Center, K.U. Leuven Campus Kortrijk, Etienne Sabbelaan 53, Kortrijk, Belgium. koen.vandenabeele@kuleuven-kortrijk.be
The Journal of the Acoustical Society of America
|September 11, 2009
Summary
High amplitude vibrations reveal material damage through nonlinear resonance. Increased crack density in carbon fiber reinforced plastics (CFRP) significantly amplifies nonlinear signatures, aiding damage quantification.
Area of Science:
- Materials Science
- Nonlinear Dynamics
- Composite Materials
Background:
- Microscopic damage in materials can lead to nonlinear mechanical behavior.
- Nonlinear resonance techniques offer potential for sensitive damage detection.
- Carbon fiber reinforced plastics (CFRP) are susceptible to thermal damage.
Purpose of the Study:
- To quantify the relationship between crack density and nonlinear resonance parameters in CFRP.
- To demonstrate the effectiveness of nonlinear resonance spectroscopy for damage assessment.
- To correlate microscopic damage with macroscopic nonlinear material response.
Main Methods:
- Nonlinear resonance technique applied in time (reverberation) and frequency (sweep) domains.
- Reverberation spectroscopy used on CFRP samples subjected to thermal loading.
- Crack density quantified using light optical microscopy with histogram equalization and grayscale thresholding.
Main Results:
- Nonlinear resonance parameters show amplitude dependence correlated with crack density.
- A tenfold increase in nonlinearity signature observed with a 1% to 3% increase in crack density.
- Microscopic crack network confirmed as the source of macroscopic nonlinearity.
Conclusions:
- Nonlinear resonance spectroscopy is a sensitive method for quantifying damage in CFRP.
- The technique effectively links microscopic damage features to macroscopic material nonlinearity.
- This approach provides a robust tool for structural health monitoring of composites.
Related Concept Videos
01:16Dynamic Modulus of Elasticity of Concrete
The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by a...
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by a...
01:14NMR Spectrometers: Resolution and Error Correction
When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...