Theory of dendritic growth in the presence of lattice strain

Details Theory of dendritic growth in the presence of lattice strain Theory of dendritic growth in the presence of lattice strain

2008-03-13

arxiv.org/abs/0803.1955v1

Physics

Condensed Matter

Materials Science

Scientific paper

10.1103/PhysRevE.78.060603

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.

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