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Isotropic fiber coarsening in unidirectionally solidified eutectic alloys

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Abstract

A theory of coarsening has been developed for the case of fibers of circular cross section in unidirectionally solidified eutectic alloys. The fibers are assumed to be randomly distributed throughout the unoccupied space in the matrix (uniformly distributed), and diffusion of solute is assumed to occur under steady-state conditions with cylindrical symmetry. The theory predicts that the cube of the average fiber radius increases linearly with time for all fiber volume fractions. As the volume fraction increases, the coarsening rate increases and the theoretical distribution of fiber radii becomes broader. It is shown that isotropic fiber coarsening occurs at approximately half the rate at which the same phase would coarsen if it were in the form of spherical precipitates for volume fractions up to 0.6. It is also demonstrated that the fibers will coarsen at a faster rate when they are uniformly distributed than when they are arranged on an hexagonal lattice.

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Authors and Affiliations

  1. Materials Department, University of California, Los Angeles, Calif.

    A. J. Ardell (Associate Professor of Engineering)

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  1. A. J. Ardell
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Ardell, A.J. Isotropic fiber coarsening in unidirectionally solidified eutectic alloys. Metall Trans 3, 1395–1401 (1972). https://doi.org/10.1007/BF02643023

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