Theory of dendritic growth in the presence of lattice strain

Date
Authors
Pilipenko, D.
Brener, E. A.
Hueter, C.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
Elastic effects due to lattice strain modify the local equilibrium condition at the solid-solid interface compared to the classical dendritic growth. Both, the thermal and the elastic fields are eliminated by the Green's function techniques and a closed nonlinear integro-differential equation for the evolution of the interface is derived. In the case of pure dilatation, the elastic effects lead only to a trivial shift of the transition temperature while in the case of shear transitions, dendritic patterns are found even for isotropic surface energy.
Keywords
Condensed Matter - Materials Science
Citation
Collections