Monotectic Al-17.5 mass%In alloys were solidified unidirectionally at various growth rates and temperature gradients, and were quenched during growth to reveal the solid-liquid interface morphology. The alloys having fibrous composite structures were held near the monotectic temperature for various time durations to examine the thermal stability of L
2 fibers. When fibrous composite structures are forming, the planar solid-liquid interface proceeds with some projections of L
2 phase toward L
1. Periodical fluctuation of the growth front and depressions form at about 10
9 K·s/m
2 of
G⁄
R, and funnel-like L
2 droplets are incorporated into the aluminum matrix intermittently. These L
2 droplets spheroidize during cooling to form regular arrays of spherical L
2 droplets. The planar solid-liquid interface no longer lies at
G⁄
R below 10
9 K·s/m
2, and regular monotectic composite structures can not be formed. Droplet composite structures are also formed by necking down, pinching off and spheroidizing of L
2 fibers during cooling at high temperatures below the monotectic. The structural transition during cooling is enhanced, as the diameter of L
2 fibers decreases, i.e., as growth rates increase.
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