Pattern formation during diffusion limited transformations in solids

Details Pattern formation during diffusion limited transformations in solids Pattern formation during diffusion limited transformations in solids

2008-11-17

arxiv.org/abs/0811.2723v1

Physics

Condensed Matter

Materials Science

submitted to Philosophical Magazine

Scientific paper

We develop a description of diffusion limited growth in solid-solid transformations, which are strongly influenced by elastic effects. Density differences and structural transformations provoke stresses at interfaces, which affect the phase equilibrium conditions. We formulate equations for the interface kinetics similar to dendritic growth and study the growth of a stable phase from a metastable solid in both a channel geometry and in free space. We perform sharp interface calculations based on Green's function methods and phase field simulations, supplemented by analytical investigations. For pure dilatational transformations we find a single growing finger with symmetry breaking at higher driving forces, whereas for shear transformations the emergence of twin structures can be favorable. We predict the steady state shapes and propagation velocities, which can be higher than in conventional dendritic growth.

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