This title appears in the Scientific Report :
2010
Please use the identifier:
http://dx.doi.org/10.1080/14786430903193241 in citations.
Pattern formation during diffusion limited transformations in solids
Pattern formation during diffusion limited transformations in solids
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 inte...
| Personal Name(s): | Fleck, M. |
|---|---|
| Hüter, C. / Pilipenko, D. / Spatschek, R. / Brener, E. A. | |
| Contributing Institute: |
Theorie der Strukturbildung; IFF-3 |
| Published in: |
Philosophical magazine |
| Imprint: |
London [u.a.]
Taylor and Francis
2010
|
| DOI: |
10.1080/14786430903193241 |
| Document Type: |
Journal Article |
| Research Program: |
Grundlagen für zukünftige Informationstechnologien |
| Series Title: |
Philosophical Magazine
90 |
| Subject (ZB): | |
| Publikationsportal JuSER |
|
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. |