Table 2.
Material and operating parameters in Equations (21)–(46) and their values for 6061-T6 Al alloy at ambient conditions (taken from [22] unless specified otherwise).
Parameter | Value | Unit | Definition |
---|---|---|---|
ρ 0 | 2703 | kg/m3 | initial density |
b | 2.86 × 10−10 | m | Burgers’ vector magnitude |
a 1 | 0 | m2/s2 | elastic constant |
a 1n | 0 | m2/s2 | elastic constant |
a 2 | 2.028 × 107 | m2/s2 | elastic constant |
a 3 | −2.044 × 107 | m2/s2 | elastic constant |
a 4 | −6.64 × 107 | m2/s2 | elastic constant |
a 5 | 1.575 × 108 | m2/s2 | elastic constant |
a 6 | −1.428 × 108 | m2/s2 | elastic constant |
c 1 | 0.168 | m/s | fitting parameter |
1.6 | MPa | fitting parameter | |
M | 1.78 | inverse of the strain rate sensitivity | |
τ a0 | 120 | MPa | initial back stress |
γ 0 | 0.52 | reference strain | |
n | 1.55 | hardening parameter | |
N m,HEL,w | 8.18 × 1012 | 1/m2 | initial mobile dislocation density in the cell wall |
N m,HEL,b | 8.00 × 1012 | 1/m2 | initial mobile dislocation density in the cell block |
α b | 3.5 × 105 | 1/m | breeding coefficient |
α t | 0 | trapping coefficient | |
N HEL,w | 8.18 × 1012 | 1/m2 | initial total dislocation density in the cell wall |
N HEL,b | 8.00 × 1012 | 1/m2 | initial total dislocation density in the cell block |
λ 1,HEL | 0.995758 | HEL longitudinal stretch | |
T 1,HEL | −475 | MPa | HEL longitudinal Piola-Kirchhoff stress |
C | 5457.3146 | m/s | shock wave speed at σ1,– = 2.1 GPa |
5600.2774 | shock wave speed at σ1,– = 3.7 GPa | ||
6018.3672 | shock wave speed at σ1,– = 9.0 GPa | ||
u p,HEL | 27.295879 | m/s | HEL particle speed |