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Table A.1
List of symbols.
| Symbol | Explanation |
|
|
|
| cg | crack propagation speed |
| D | damage parameter |
| E1, E2, Epw, Esr | total energies of largest and second largest |
| fragment, power-law and sub-res. populations | |
| Etot | total energy of the fragment population |
| h | smoothing length |
| J2 | second irreducible invariant |
| kwb | number density of flaws in the Weibull distribution |
| K(φ) | bulk modulus |
| K0 | bulk modulus for the uncompressed dust sample |
| m | mass |
| m1, m2, mpw, msr | masses of largest and second largest fragment, |
| power-law and sub-resolution populations | |
| mcum | cumulated mass |
| mfrag | fragment mass |
| mp | projectile mass |
| mt | target mass |
| mwb | exponent in the Weibull distribution |
| n(φ) | number density of volumes with filling factor φ |
| n(m) | number density of fragments with mass m |
| nact | number of activated flaws |
| nfrag | number of fragments |
| Npw, Nsr | number of fragments in the power-law |
| and sub-resolution populations | |
| p | hydrostatic pressure |
| pm | mean pressure of Σ |
| rp, rt | projectile and target radii |
| Rc | typical clump size |
| Rs | sphere of crack evolution |
| Sαβ | deviatoric stress tensor |
| t | time |
| T(φ) | tensile strength |
| v0 | relative collision velocity |
| vα | velocity |
| W(xa,xb,h) | smoothing kernel function |
| xα | position |
| Y(φ) | shear strength |
| γ | exponent of K(φ) |
| δαβ | Kronecker symbol |
| Δ | power parameter of Σ |
| ϵact | strain activation threshold |
| ϵαβ | strain tensor |
| κ | fragmentation parameter |
| μ(φ) | shear modulus |
| μpw | normalised mass of the most massive |
| member of the power-law population | |
| ρ | density |
| ρs | matrix density |
| σαβ | stress tensor |
| φ | filling factor |
|
reference filling factor at p = 0 |
 ,  |
threshold filling factors from elastic |
| to plastic compression/tension | |
| φmax, φmin | maximum/minimum filling factors of Σ |
| φi | initial filling factor |
| φμ | inhomogeneity median |
| φσ | inhomogeneity standard deviation |
| φRBD | filling factor of an RBD dust sample |
| Σ(φ) | compressive strength |
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