Phase-field modeling of the discontinuous precipitation reaction - Condensed Matter > Materials ScienceReport as inadecuate




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Abstract: A multi-phase-field model for the description of the discontinuousprecipitation reaction is formulated which takes into account surface diffusionalong grain boundaries and interfaces as well as volume diffusion. Simulationsreveal that the structure and steady-state growth velocity of spatiallyperiodic precipitation fronts strongly depend on the relative magnitudes of thediffusion coefficients. Steady-state solutions always exist for a range ofinterlamellar spacings that is limited by a fold singularity for low spacings,and by the onset of tip-splitting or oscillatory instabilities for largespacings. A detailed analysis of the simulation data reveals that thehypothesis of local equilibrium at interfaces, used in previous theories, isnot valid for the typical conditions of discontinuous precipitation.



Author: Lynda Amirouche, Mathis Plapp

Source: https://arxiv.org/







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