2008/11/17 by Michael Fleck, Claas Hueter, Fleck, M. +7
Earth and Planetary Sciences · Materials Science · #FOS: Physical sciences #Material Properties and Applications #Materials Science (cond-mat.mtrl-sci) #Solidification and crystal growth phenomena #nanoparticles nucleation surface interactions
paper · pdf · doi:10.48550/arxiv.0811.2723
openalex publication_date 2008/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.