Author Affiliations
School of Physical Science and Technology, Southwest Jiaotong University, Chengdu, Sichuan 610031, Chinashow less
Fig. 1. Sectional dimension of rail
Fig. 2. Model of rail surface under laser irradiation
Fig. 3. Gaussian space and time equivalents of point source and line source. (a) Space equivalent of line source;(b) space equivalent of point source; (c) time equivalent
Fig. 4. Convergence analysis of grids. (a) Grid size of 0.3 mm; (b) grid size of 0.05 mm
Fig. 5. Waveforms in time domain under different grid sizes. (a) 0.3 mm; (b) 0.2 mm; (c) 0.1 mm;(d) 0.075 mm; (e) 0.05 mm
Fig. 6. Ultrasonic speed cloud maps. (a) Point source at 9 μs; (b) point source at 29 μs; (c) line source at 9 μs;(d) line source at 29 μs
Fig. 7. Ultrasonic waveforms in time domain excited by point source and line source. (a) Point source; (b) line source
Fig. 8. Laser ultrasonic detection system
Fig. 9. 60 kg rail sample. (a) Real object; (b) schematic of defects
Fig. 10. Experimental results of ultrasonic waves excited by point source and line source. (a) Point source; (b) line source
Fig. 11. Models of two defects. (a) Model of defect 1;(b) model of defect 3
Fig. 12. Ultrasonic speed cloudmaps for models of two defects. (a) Defect 1, at 3 μs; (b) defect 3, at 9 μs; (c) defect 1, at 18 μs; (d) defect 3, at 29 μs
Fig. 13. Ultrasonic signals in time domain for models of two defects. (a) Simulation signal for defect 1;(b) simulation signal for defect 3; (c) experimental signal for defect 1; (d) experimental signal for defect 3
Parameter | Young'smodulus /GPa | Poisson'sratio | Density /(kg·mm-1) | Thermalconductivity /(W·m-1·K-1) | Thermalexpansion | Specific heat /(J·kg-1·℃-1) |
---|
Value | 210 | 0.29 | 7840 | 43.2 | 1.18×10-5 | 460 |
|
Table 1. Thermophysical parameters of rail materials used in finite element simulation