Variation of interface compositions during diffusion controlled precipitate growth in ternary systems |
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Authors: | J I Goldstein E Randich |
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Affiliation: | (1) Metallurgy and Materials Science, Lehigh University, 18015 Bethlehem, PA;(2) Lehigh University is employed by Sandia Laboratories, 87115 Albuquerque, NM |
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Abstract: | Isothermal diffusion controlled phase growth in ternary systems has been modeled using the Crank-Nicolson finite difference
equations. Local equilibrium at phase boundaries and one dimensional growth are assumed. The model includes a method of determining
phase growth velocity and interface compositions consistent with the diffusion rates of both elements. It also considers the
effects of finite or overlapping diffusion fields (impingement). The growth of phosphide, (FeNi)3P, in α ferrite in the Fe−Ni−P system was chosen for the simulation. Interface compositions are predicted to change with time,
controlled by the necessity to balance the two solute (Ni and P) fluxes which cause the precipitate to grow. Diffusion controls
the growth process although during initial growth interface structure may be important. The ratio of the major ternary coefficientsD
PP
Fe
/D
NiNi
Fe
controls the amount of shift of the precipitate interface composition from the tie line through the bulk composition. During
the major period of growth the Ni interface compositions in phosphide and α remain constant and a square root of time,t
1/2, dependence for growth is predicted. The practical, effect of impingement is to decrease phase growth and to allow the interface
compositions to shift towards the tie line through the bulk composition. |
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Keywords: | |
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