Workshop on Multiscale Simulation of Heterogeneous Materials and Coupling of Thermodynamic Models location:K. U. Leuven, Belgium date:12 - 14 January 2011
A phase-field model is presented to study binary systems having two phases with elastic strain. The evolution of two phase-field variables, namely, composition and non-conserved phase-field, are considered. This model uses the approach of Steinbach and Apel  to model the dependence of total strain on the phase-field and also assumes equal elastic stresses in the different phases at the diffuse interface region. The elasticity equations for mechanical equilibrium are solved by a Fourier transform-based iterative approach similar to Hu and Chen , with the dependence of eigenstrain on the phase-field instead of composition, consistent with the mixture rule used for the stiffness tensor in the diffuse interface region. Growth of a second-phase particle in an elastic matrix is studied and the dependence of the particle shape on the elastic properties of the two phases is analysed. The effect of changing the interpolation of the stiffness tensor between the two phases to a linear relation is also discussed.
 I. Steinbach, M. Apel, Physica D 217 (2006) 153-160.
 S. Y. Hu, L. Q. Chen, Acta Mater. 49 (2001) 1879-1890.