Abstract
A major challenge to solidification theory over nearly three decades has been the understanding, prediction and control of rapidly solidified microstructures. The present paper reports results of systematic and controlled conditions of rapid solidification in Al-Mn alloys, which involved measurement of undercooling, solute concentration and cell spacing for solidification front velocities, which were increased progressively, to the level needed for partitionless solidification into a microsegregation-free solid which, in principle, can be crystalline, quasicrystalline or amorphous. Comparison of the measurements with predictions of theoretical modelling give an encouraging level of agreement.
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Abbreviations
- A :
-
constant = π2τ/P2D2
- A′ :
-
constant = k(ab)1/2
- B :
-
constant = mC0pξc/D[1−pIv(P)]
- B′ :
-
constant
- C :
-
G(Km−1)
- C EU :
-
eutectic composition (at %, wt %)
- C 0 :
-
alloy concentration (at %, wt %)
- C *L :
-
tip concentration in liquid (at %, wt.%)
- C *S :
-
tip concentration in solid (at %, wt %)
- D :
-
diffusion coefficient in liquid (m2s−1)
- G :
-
température gradient (Km−1)
- I V(P):
-
Ivantsov function (P exp(P)E1(P))
- P :
-
solute Péclet number = VSR/2D
- R :
-
tip radius (m)
- T EU :
-
eutectic temperature (K)
- T F :
-
melting point of pure substance (K)
- T G :
-
arrest growth temperature (K)
- T L :
-
liquidus temperature (K)
- V ab :
-
absolute stability velocity (ms−1)
- V s :
-
solidification front velocity (ms−1)
- a :
-
material constant
- b :
-
material constant
- k :
-
distribution coefficient (CS/CL)
- k :
-
constant
- m :
-
liquidus slope (K/at %, K/wt %)
- n :
-
exponent
- p :
-
complementary distribution coefficient (1−k)
- τ :
-
Gibbs-Thomson coefficient (σ/Δsf) (Km)
- Δs f :
-
entropy of fusion per mole (J mol−1K−1)
- ΔT 0 :
-
liquidus-solidus range at C0(TS−TL) (K)
- Λ 1 :
-
cell spacing (m)
- σ :
-
solid/liquid interface energy
- π :
-
3.1416
- ξc :
-
constant = 1−(2k/[1+(2π/P)2]1/2−1+2k)
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Juarez-Islas, J.A. Analysis of the microstructure obtained by using unidirectional solidification, tungsten inert gas weld and laser surface melt traversing techniques in Al-Mn alloys. J Mater Sci 26, 5004–5012 (1991). https://doi.org/10.1007/BF00549884
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DOI: https://doi.org/10.1007/BF00549884