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Table 4:

Numerical parameters for the fragmentation calibration setup.

Physical quantity
Symbol Value Unit
Glass plate      
$\rm {Bulk~density}^{(*)}$ $\rho_0$ 2540 $\rm kg~m^{-3}$
$\rm {Bulk~modulus}^{(*)}$ K0 $\rm 5 \times 10^9$ Pa
$\rm {Murnaghan~exponent}^{(*)}$ n 4 -
Radius $r_{\rm plate}$ $0.8 \times 10^{-3}$ m
Thickness $d_{\rm plate}$ $0.04 \times 10^{-3}$ m
Dust sample      
Initial density $\rho_i$ 300 $\rm kg~m^{-3}$
Bulk density $\rho_{\rm s}$ 2000 $\rm kg~m^{-3}$
Reference density $\rho_0'$ 700 $\rm kg~m^{-3}$
Initial filling factor $\phi_i$ 0.35 -
Bulk modulus K0 various Pa
ODC mean pressure $p_{\rm m}$ 260 Pa
ODC max. filling factor $\phi_2$ 0.58 -
ODC min. filling factor $\phi_1$ 0.12 -
ODC slope $\Delta $ 0.58 -
Impact velocity v0 8.4 $\rm m~s^{-1}$
Radius r $0.285 \times 10^{-3}$ $\rm m$

Notes. ODC stands for omni-directional compression relation (Eq. (21)). Quantities marked by (*) represent the parameters for sandstone in Melosh (1989), which we adopt for glass here.


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