A development of the Jackson-Hunt’s theory is delivered. Contrary to Jackson-Hunt’s theory for ideally coupled growth the
current description is dealing with the coupled eutectic growth which is more realistic than an ideal course of eutectic structure
formation. Thus, the undercooling of every eutectic phase is not equal to each other. A new boundary condition is introduced to
solve the diffusion equation. According to this condition, the eutectic concentration is always maintained at the triple point of the
solid / liquid (s/l) interface. Therefore, the solution to diffusion equation is given separately for both lamellae. The mass balance
is satisfied by the current solution. Both thermodynamic equilibrium and mechanical equilibrium are assumed to be situated at
the triple point of the s/l interface, only. A protrusion of the leading phase over the wetting phase is defined mathematically due
to the mass balance fulfilment. The current description is associated with the asymmetrical phase diagrams. Finally, the current
description is applied to interpretation of the rapid eutectic growth. Therefore, Aziz’s concept for the changes of partition ratio
versus growth rate is introduced into the description. As a result, the rapid formation of the eutectic structure is described by the
oscillatory mode. Interpretation of the oscillatory mode of the eutectic structure formation is illustrated in the arbitrary eutectic
phase diagram. The eutectic structure, obtained through the detonation gas spraying onto the steel substrate (rapid solidification)
is delivered to illustrate the present description.
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