Theoretical and numerical study of lamellar eutectoid growth influenced by volume diffusion

Deviations from cooperative growth mode during eutectoid transformation: Insights from a phase-field approach

“…The multiphase-field model equations, that are used in the present study, is briefly outlined in this section. The reader is referred to the previous studies [14,15,4,16] for a more detailed description of the model equations and numerical methods.…”

“…The function g α (φ) is in general not the same as h α (φ) which interpolates the grand potentials, however, in the present description, we utilize the same. The thermodynamic data-fitting procedure to approximate the variation of the grand-potential of the respective phases as a function of chemical potential and the relation of the numerical simulation parameters with the corresponding quantities in the sharpinterface limit, are explained in the previous work [4].…”

“…When both the product phases, evolve cooperatively, sharing a common growth front with austenite, the morphology of the resulting product is lamellar, popularly known as pearlite [1,2,3,4]. On the contrary, under a given set of conditions (low undercooling and small inter-particle spacing of pre-exisiting cementite), the α/γ advancing transformation front begins to pull-away from cementite, leading to the formation of a divorced eutectoid.…”

Effects of Carbide on the Cooperative Growth of Pearlite in Carbon Steel: A Phase Field Study

“…It can be found the result also meets the Young's equation within the error range. According to the extended Jackson Hunt model, 12,17) the relationship 17) between lamellar spacing and growth rate in theory can be obtained. The simulation results and the prediction in theory are consistent as shown in Fig.…”

“…In 2012, Steinbach et al 16) analyzed pearlite in an article incorporating the cooperative growth model of Zener-Hillert, the nucleation model of cementite in hypoeutectoid steel, and pearlite growth under stress action. In 2013, Kumar et al 17) extended the Jackson-Hunt-type calculation to eutectoid transformation, considering diffusion in all phases and simulating the formation of tapered cementite through the phase field method. Ankit et al [18][19][20] researched the growth mechanism of austenite transformed into pearlite in the presence of a large amount of proeutectoid cementite.…”