Fig. 1. Schematic of three-dimensional model

Fig. 2. Shock wave pressure amplitude versus time

Fig. 3. Specimens for laser shock peening

Fig. 4. Distributions of residual stress field for single point shocking of specimens with different thicknesses.(a) Surface direction; (b) depth direction

Fig. 5. Distributions of residual stress field for overlapping shocking of specimens with different thicknesses.(a) Surface direction; (b) depth direction

Fig. 6. Cloud maps of surface residual stress field when specimen thickness is 2 mm. (a) Front face; (b) reverse face

Fig. 7. Double-faced micro-hardness distributions for overlapping shocking of specimens with different thicknesses. (a) Front face; (b) reverse face

Fig. 8. Double-faced surface residual stress for overlappingshocking of specimens with different thicknesses

Fig. 9. Distributions of dynamic stress along depth direction at different moments

Fig. 10. Cloud map of shock wave distribution along depth direction at different moments