Stability of the interphase boundary during the crystallization of eutectics

On Linear Analysis of the Movement of the Interface under Directed Crystallization

“…In the lab coordinate system, in which the bar moves at a specified constant rate, the temperature field is independent of time. In accordance with [18], we will formally specify the ISF by the exponential function in each phase. It is a convenient approximation since the exponent is the solution of the inhomogeneous heat conduction equation when the bar velocity is equal to zero.…”

“…When the finite stationary interface velocity is given, the position of the interface is shifted with respect to the specified heat source density function. In [18] this shift was determined by the known interface temperature which was calculated by the specified dependence of interface velocity on kinetic overcooling. This means that the stationary problem with the given external temperature field involves an additional condition, namely, the position of the interface with respect to the lab coordinate system.…”

“…Hence, the position of the interface changes with respect to the lab coordinate system and the condition required for its determination will be specified when solving the stationary problem. Such problem setting was briefly considered in [18]. The distribution of external temperature in the vicinity of each phase is set as a sum of the constant term and the exponential function.…”

Synthesis, Microstructure, and Electrical Conductivity of Eutectic Composites in MF2–RF3 (M = Ca, Sr, Ba; R = La–Nd) Systems

“…The eutectic microstructures morphology depends on the volume fraction of the components, their melting entropy, and the temperature gradient at the crystallization front [6,7]. The period of the eutectic microstructure is largely determined by the movement rate of the interfacial boundary during crystallization [10,11], namely the crucible pulling rate or temperature gradient variation, while other parameters depend on the chemical nature of the substance. Obviously, the possibility of producing extended, controlled periodic eutectic structures is limited.…”