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. 2021 Aug 19;14(16):4667. doi: 10.3390/ma14164667

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
T1* 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