Fig. 1. Principle diagram of two-dimensional DIC
Fig. 2. Flow chart of DIC calculation. (a) 2D; (b) 3D
Fig. 3. Schematic of tangential plane projection method
Fig. 4. Schematic of displacement field in strain calculation subset. (a) u; (b) v
Fig. 5. Simulated morphology with homogeneous deformation (no noise)
Fig. 6. Simulated strain fields with homogeneous deformation and error (M=5 and no noise). (a) Positive strain along x direction; (b) positive strain along y direction; (c) tangential strain; (d) strain field error along x direction
Fig. 7. Simulated morphology with inhomogeneous deformation (no noise)
Fig. 8. Simulated strain fields with inhomogeneous deformation and error (M=5 and no noise). (a) Positive strain along x direction; (b) positive strain along y direction; (c) tangential strain; (d) strain field error along x direction
Fig. 9. Simulated strain fields with homogeneous deformation and error (M=5,σx,y=0.001 mm,σz=0.004 mm). (a) Positive strain along x direction; (b) positive strain along y direction; (c) tangential strain; (d) strain field error along x direction
Fig. 10. Simulated strain fields with homogeneous deformation and error (M=10,σx,y=0.001 mm,σz=0.004 mm). (a) Positive strain along x direction; (b) positive strain along y direction; (c) tangential strain; (d) strain field error along x direction
Fig. 11. Simulated strain fields with inhomogeneous deformation and error (M=5,σx,y=0.001 mm,σz=0.004 mm). (a) Positive strain along x direction; (b) positive strain along y direction; (c) tangential strain; (d) strain field error along x direction
Fig. 12. Simulated strain fields with inhomogeneous deformation and error (M=10,σx,y=0.001 mm,σz=0.004 mm). (a) Positive strain along x direction; (b) positive strain along y direction; (c) tangential strain; (d) strain field error along x direction
Fig. 13. Schematic of experimental system
Fig. 14. Strain field distributions of thin plate. (a) εxx; (b) εyy;(c)γxy
Condition | Deformation | Filter size | eε/με | σε/με |
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No noise | Homogeneous | M=5 | 2.22×10-10 | 2.22×10-10 | Inhomogeneous | M=5 | 2.20×10-10 | 2.74×10-10 | Gaussian noise with σx,y=0.001 mm andσz=0.004 mm | Homogeneous | M=5 | 24.17 | 30.11 | Homogeneous | M=10 | 6.51 | 8.36 | Inhomogeneous | M=5 | 23.15 | 29.28 | Inhomogeneous | M=10 | 6.88 | 9.36 |
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Table 1. Statistics of strain field errors along x direction
Calibration parameter | Unit | Value |
---|
k1 | mm-2 | 1.56×10-1 | k2 | mm-4 | 4.28×10-1 | p1 | mm-1 | -1.56×10-3 | p2 | mm-1 | -3.17×10-4 | Rx | ° | 3.06×10-1 | Ry | ° | 2.96×10 | Rz | ° | 1.01×10-1 | Tx | mm | -2.78×102 | Ty | mm | 2.49×10-1 | Tz | mm | 7.98×10 |
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Table 2. Main calibration parameters