Fig. 1 Nickel-based single crystal superalloy model: a the classical sandwich model; b the model containing void

Fig. 2 Mechanical response and dislocation density evolution under shear load: a 300 K; b 500 K; c 700 K; d 900 K; e 1100 K

Fig. 3 DXA results under different strains in the Ni phase: a1, a2 ε = 0; b1, b2 ε = 0.04; c1, c2 ε = 0.06; d1, d2 ε = 0.1

Fig. 4 Strain at the beginning of the Ni3Al deformation and the micro defects analysis

Fig. 5 Formation mechanism of different planar faults in Ni3Al

Fig. 6 DXA and planar defects analysis in different strains of Ni3Al phase at 300 K: a ε = 0.12; b ε = 0.136; c ε = 0.144; d ε = 0.16; e ε = 0.192; f ε = 0.24

Fig. 7 DXA and planar defects analysis in different strains of Ni3Al phase at 1100 K: a ε = 0.12; b ε = 0.136; c ε = 0.144; d ε = 0.16

Fig. 8 DXA analysis and planar defects analysis under different strains: initial model: a1 ε = 0; b1 ε = 0.038; c1 ε = 0.047; d1 ε = 0.053; e1 ε = 0.065; f1 ε = 0.080. Model 2: a2 ε = 0; b2 ε = 0.038; c2 ε = 0.047; d2 ε = 0.053; e2 ε = 0.065; f2 ε = 0.080

Fig. 9 Variation curves of yield strength with temperature for the initial model and the model containing the void

Fig. 10 DXA analysis and planar defects analysis under different strains: initial model: a1 ε = 0.075; b1 ε = 0.136; c1 ε = 0.160. Model 2: a2 ε = 0.075; b2 ε = 0.136; c2 ε = 0.160

Fig. 11 Evolution of void morphology: a ε = 0; b ε = 0.043; c ε = 0.084; d ε = 0.102; e ε = 0.125; f ε = 0.144