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Quantification of microcracks by physics-guided neural network-assisted nonlinear ultrasonic technique
Jinshan Wen1, Jiyu Liu1, Mingxi Deng2
1School of Aerospace Engineering, Xiamen University, 422, South Siming Road, Xiamen 361005, China.
Ultrasonics
|March 31, 2026
Summary
This study introduces a physics-guided convolutional neural network (PGCNN) to precisely measure microcracks using nonlinear ultrasonic techniques (NUT). The PGCNN effectively decouples crack dimensions, improving quantitative characterization even with limited data.
Area of Science:
- Materials Science
- Non-Destructive Testing
- Artificial Intelligence
Background:
- Quantifying microcracks smaller than ultrasonic wavelengths is challenging for traditional methods.
- Linear ultrasonic techniques face limitations due to wavelength-to-defect size ratios.
- Nonlinear ultrasonic techniques (NUT) struggle to isolate multiple damage parameters.
Purpose of the Study:
- To develop a physics-guided convolutional neural network (PGCNN) for quantitative microcrack characterization.
- To enable effective decoupling of crack length and width using nonlinear Rayleigh wave signals.
- To enhance the accuracy and robustness of microcrack assessment in non-destructive testing.
Main Methods:
- A physics-guided convolutional neural network (PGCNN) was developed, integrating a phenomenological damage indicator (DI) model.
- The DI model, based on crack aspect ratio, was embedded into the multi-task learning loss function.
- Experimental validation was conducted on torsion shaft specimens with varying microcrack geometries.
Main Results:
- The PGCNN demonstrated superior robustness and generalization compared to conventional convolutional neural networks.
- Effective decoupling of crack length and width was achieved from single nonlinear Rayleigh wave signals.
- Significant improvements were observed under data-poor conditions (40% training data): >15% R² increase and >33% MAE reduction for crack dimensions.
Conclusions:
- The proposed PGCNN-assisted NUT offers a powerful approach for microcrack quantification.
- Physics-based regularization enhances the network's consistency with nonlinear ultrasonic mechanisms.
- This method shows promise for reliable microcrack characterization in challenging scenarios, including data scarcity.

