Large-scale Phase-Field Simulations for Solid-Solid Phase Transformations involving Elastic Energy

Phase-field models have been used extensively in studying microstructure evolution in alloys and have the superiority of comprehending, predicting, and optimizing microstructure-sensitive macroscopic material properties. The elastic strain energy is a vital factor in modeling crystal structure formation in solid-solid phase transformations. Conventionally, it is computed in the reciprocal space according to the famous Khachaturyan-Shatalov theory. In large-scale simulations, the full-space Fourier transform becomes extremely time-consuming.