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arXiv · 0803.1955

Theory of dendritic growth in the presence of lattice strain

D. Pilipenko·E. A. Brener·C. Hueter
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Abstract

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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D. Pilipenko, E. A. Brener, C. Hueter. 2008-03-13. Theory of dendritic growth in the presence of lattice strain. https://doi.org/10.1103/physreve.78.060603

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