Phase-field modeling of the discontinuous precipitation reaction

Details Phase-field modeling of the discontinuous precipitation reaction Phase-field modeling of the discontinuous precipitation reaction

2008-09-03

arxiv.org/abs/0809.0642v1

Physics

Condensed Matter

Materials Science

24 pages, 9 figures, submitted to Acta Materialia

Scientific paper

A multi-phase-field model for the description of the discontinuous precipitation reaction is formulated which takes into account surface diffusion along grain boundaries and interfaces as well as volume diffusion. Simulations reveal that the structure and steady-state growth velocity of spatially periodic precipitation fronts strongly depend on the relative magnitudes of the diffusion coefficients. Steady-state solutions always exist for a range of interlamellar spacings that is limited by a fold singularity for low spacings, and by the onset of tip-splitting or oscillatory instabilities for large spacings. A detailed analysis of the simulation data reveals that the hypothesis of local equilibrium at interfaces, used in previous theories, is not valid for the typical conditions of discontinuous precipitation.

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