Table 1
Symbols.
| Symbol | Unit | Description |
|---|---|---|
 |
m2 | Area of sinter bond cross section |
| cg | 1 | Coarse-graining factor |
| Cr | 1 | Rolling viscous damping coeff. |
| er | 1 | Coefficient of restitution |
| E | Pa | Young’s modulus |
| F | N | Force |
| Fc | N | Cohes. force from unsint. contacts |
| Fc,a | N | Asperity cohesive force |
| FH | N | Hertz contact force |
| g | m s−2 | Ambient surface acceleration |
| ic | 1 | Index of cumulative power law |
| I | kg m2 | MOI of particle |
 |
m4 | MOI of sinter bond cross section |
 |
m4 | Polar MOI of sinter bond cross sect. |
| k | N m−1 | Elastic stiffness |
| m | kg | Mass |
| M | N m | Torque |
| n | m | Normal vector |
| r | m | Position |
| Ra | m | Radius of surface asperity |
| R | m | Particle radius |
| Sc | 1 | Surface cleanliness |
| t | s | Time (not as subscript) |
| tc | m | Min. distance between surfaces |
| ΔU | m | Position increment |
| v | m s−1 | Velocity |
| γn | N s m−1 | Normal damping parameter |
| γt | N s m−1 | Tangential damping parameter |
| δn | m | Normal overlap distance |
| δt | m | Tangential displacement |
| ηr | 1 | Rolling viscous damping ratio |
| Δθ | rad | Rotation increment |
 |
rad s−1 | Relative rolling angular velocity |
 |
1 | Sinter bond radius scaling |
| μ | 1 | Translational friction coefficient |
| μr | 1 | Rolling friction coefficient |
| ν | 1 | Poisson’s ratio |
| ρ | kg m−3 | Particle solid mass density |
| σ | N m−2 | Tensile stress |
| τ | N m−2 | Shear stress |
| ϕ | 1 | Volume filling factor |
| ω | J m−2 | Surface energy density (no subscr.) |
| ω | rad s−1 | Angular velocity (with subscript) |
Notes. Additional subscripts n, t, and r are for normal and tangential components and rotational parameters, respectively, and i and j are counting-indices for different particles. Overlines indicate sinter bond properties, and an additional superscript asterisk indicates effective versions of a quantity computed from the properties of the two contact partners. Vectorial quantities are typed in bold, their absolute values and other scalars are not, and tensors are indicated by an underscore. “MOI” stands for “moment of inertia”.
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