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A new phase field model of microstructural evolution is presented thatincludes the effects of elastic strain energy. The model's thin interfacebehavior is investigated by mapping it onto a recent model developed byEchebarria et al (Phys Rev E, 70:061604,2004). Exploiting this thin interfaceanalysis the growth of solid state dendrites are simulated with diffuseinterfaces and the phase field and mechanical equilibrium equations are solvedin real space on an adaptive mesh. A morphological competition between surfaceenergy anisotropy and elastic anisotropy is examined. Two dimensionalsimulations are reported that show that solid state dendritic structuresundergo a transition from a surface dominated [10] growth direction to anelastically driven [11] growth direction by changes in the elastic anisotropy,the surface anisotropy and the supersaturation. Using the curvature and straincorrections to the equilibrium interfacial composition and linear stabilitytheory for isotropic precipitates as calculated by Mullins and Sekerka, thedominant growth morphology is predicted.

Competition between Surface Energy and Elastic Anisotropies in the Growth of Coherent Solid State Dendrites