Erratum to: Characterization of Dendritic Microstructure, Intermetallic Phases, and Hardness of Directionally Solidified
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DOI: 10.1007/s11661-015-3012-3 Ó The Minerals, Metals & Materials Society and ASM International 2015
Erratum to: METALLURGICAL AND MATERIALS TRANSACTIONS A DOI: 10.1007/s11661-015-2967-4
THE authors regret that numerical errors were identified in Figures 10(a, right graph) and (b, right graph) and 12. In the calculation of the growth rate of the Al-3.0 wt pct Ni alloy, a mistake has been found. The corrected figures and their respective legends are
reproduced below. The error does not change the main discussions and conclusions of the work. In addition, a sentence containing the discussion associated with Figure 12 has been rewritten as follows. As can be observed in Figure 12, the BK model roughly matches the experimental tendency of evolution of the secondary dendrite arm spacing with the growth rate.
CRYSTOPHER BRITO, THIAGO A. COSTA, and TALITA A. VIDA, Ph.D. Students, FELIPE BERTELLI, Researcher, NOE´ CHEUNG and AMAURI GARCIA, Professors, are with the Department of Manufacturing and Materials Engineering, University of Campinas, UNICAMP, PO Box 6122, Campinas, SP 13083-970, Brazil. JOSE´ EDUARDO SPINELLI, Professor, is with the Department of Materials Engineering, Federal University of Sa˜o Carlos – UFSCar, Sa˜o Carlos, Sa˜o Paulo 13565-905, Brazil. Contact e-mail: [email protected] The online version of the original article can be found under doi: 10.1007/s11661-015-2967-4. Article published online June 16, 2015 3786—VOLUME 46A, AUGUST 2015
METALLURGICAL AND MATERIALS TRANSACTIONS A
Primary dendrite arm spacing, λ1 (μm)
10 2
10-1
100
100
10 1
Secondary dendrite arm spacing, λ2 (μm)
Tip Cooling Rate (K/s)
λ1 = 97 VL-1.1 - R2 = 0.81 10 0
Tip Growth Rate (mm/s)
10 2
10 1
Al-3.0wt%Mg Al-3.0wt%Mg-1.0wt%Si λ2 = 25.3 VL-2/3 - R2 = 0.83 100
Tip Growth Rate (mm/s)
(b)
102
Al-3.0wt%Mg Al-3.0wt%Mg-1.0wt%Si
10 1 10 -1
Tertiary dendrite arm spacing, λ3 (μm)
Tertiary dendrite arm spacing, λ3 (μm)
10 2
(a)
102
10-1
10 3
101
Tip Cooling Rate (K/s)
Secondary dendrite arm spacing, λ2 (μm)
Primary dendrite arm spacing, λ1 (μm)
10 3
102
100
Tip Cooling rate (K/s)
100
(c)
Tip Growth Rate (mm/s)
Fig. 10—Correlations between dendrite arm spacings and solidification thermal parameters: (a) k1 evolution as a function of tip cooling rate and tip growth rate and (b) k2 evolution as a function of tip cooling rate and tip growth rate; and (c) evolution of the tertiary dendritic spacing, k3, for the ternary Al-3.0 wt pct Mg-1.0 wt pct Si alloy as a function of tip cooling rate and tip growth rate.
METALLURGICAL AND MATERIALS TRANSACTIONS A
VOLUME 46A, AUGUST 2015—3787
Secondary dendrite arm spacing, λ2 (μm)
102
101
Al-3.0wt%Mg Bouchard-Kirkaldy (a2 = 4.0)
10 0
Tip Growth Rate (mm/s) Fig. 12—Comparison of experimental and theoretical k2 as a function of VL for the Al-3.0 wt pct Mg alloy.
3788—VOLUME 46A, AUGUST 2015
METALLURGICAL AND MATERIALS TRANSACTIONS A
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