Phase-field modelling is a method that can efficiently solve multiphysics problems related to phase transformations. When undergoing solid-solid transitions, stress-free strains occur due to crystallographic misfit between the matrix and product phases. Various interpolation schemes have been developed to account for the elastic contribution to the thermodynamics and kinetics of such transformations.

This study focuses on developing and analyzing benchmarks for transformations accompanied by volumetric and Bain-like eigenstrains. These benchmarks include the Eshelby's inclusion problem and equilibrium morphology estimation for particles with isotropic interfacial energy and elastic behavior. Both problems are verified with analytic solutions available in literature. Based on this, the behavior of Khachaturyan's, Reuss-Sachs's, and partial rank-one homogenization schemes with different levels of heterogeneity and interfacial widths are concluded. Additionally, the usage restrictions of these schemes are discussed.