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Nonlinear elastic imaging using reciprocal time reversal and third order symmetry analysis
Francesco Ciampa1, Michele Meo
1Material Research Centre, Department of Mechanical Engineering, University of Bath, Bath, BA2 7AY, United Kingdom.
The Journal of the Acoustical Society of America
|June 21, 2012
Summary
This study introduces a new nonlinear imaging method to detect impact damage in complex solids. The technique accurately locates damage using phase symmetry and virtual time reversal, offering an alternative to traditional methods.
Area of Science:
- Nonlinear ultrasonics
- Materials science
- Damage detection
Background:
- Impact damage in solids can alter material properties, leading to nonlinear behavior.
- Detecting subtle nonlinear signatures is crucial for structural health monitoring.
Purpose of the Study:
- To present a novel nonlinear imaging method for detecting impact damage in anisotropic solids.
- To characterize the third-order nonlinearity and precisely locate damage sources.
Main Methods:
- Utilized inverse filtering, phase symmetry analysis, and frequency-modulated excitation signals.
- Employed a virtual reciprocal time reversal imaging process with single transmit-receive transducers.
- Leveraged multiple linear scattering, mode conversion, and boundary reflections for defect insonification.
Main Results:
- Successfully characterized third-order nonlinearity using phase symmetry analysis.
- Accurately retrieved the nonlinear source of low-velocity impact loading on a damaged sandwich panel.
- Demonstrated robustness and high accuracy in experimental validation.
Conclusions:
- The proposed nonlinear imaging method effectively detects impact damage in complex anisotropic solids.
- This technique offers a viable alternative to traditional nonlinear elastic wave spectroscopy due to minimal processing requirements.
- The method is suitable for materials exhibiting classical or non-classical nonlinear behavior.

