Table 2 Variables used in dimensional analysis in the MLTθ system.
Variable | Dimension |
|---|---|
Volumetric thermal expansion coefficient, β | θ−1 |
Temperature gradient, ΔT = TP−TS, where TP and TS refer respectively to peak and surrounding temperature | θ |
Deposition layer thickness, h | L |
Thermal diffusivity, | L2T−1 |
Heat input per unit length, | MLT−2 |
Melt pool volume, V | L3 |
Flexural rigidity of the substrate plate, EI, where E and I refer respectively to elastic modulus and second moment of inertia | ML3T−2 |
Thermal strain parameter, ε* | M0L0T0θ0 |
, where k, ρ and CP are thermal conductivity, density and specific heat, respectively of deposit material
, where η, P and v refer to absorption coefficient, beam power and scanning speed, respectively