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The phase field method has emerged as the most powerful method for modelling microstructure evolutions during phase transformations, particularly when elastic coherency stresses are generated in solids. However, in many materials, microstructural changes are coupled with plasticity. This is particularly the case for high temperature creep in nickel-based superalloys. In this work, a three-dimensional phase field model is coupled to a crystal plasticity model based on dislocation densities. This model includes both the anisotropy and the size dependence of the plasticity, which is expected when the plasticity is confined to a region smaller than a few microns. Several creep conditions are considered such as tensile loadings but also different shear loadings. It is shown that the microstructure evolution strongly depends on the shear direction and the relative importance of elastic and plastic driving forces is analyzed.