The phase-field method can be used efficiently to solve multi-physics problems. This is important for solid-solid phase transformations involving eigenstrains due to crystallographic mismatch between the matrix and product phases. This introduces a significant elastic energy, which plays a crucial role in the solid-solid phase transformations. As phase-field models provide a diffuse description of the phase interface with continuous phase-field variables, it is not possible to introduce elasticity into the phase-field framework in a single way. Consequently, various interpolation schemes have been introduced to describe this behaviour, including those of Khachaturyan, Steinbach-Appel and first-rank homogenisation. In the current study, phase-field results are compared with solutions from the Boundary Element Method, as well as with analytical calculations from micro-mechanical theory. Equilibrium morphology deviation and energy discrepancies are discussed as a function of interfacial width, heterogeneity and anisotropy in the two-dimensional case for all aforementioned interpolation schemes. Two benchmarks have been developed: one for anisotropic elasticity with volumetric eigenstrains, and one for isotropic elasticity with deviatoric eigenstrains. These benchmarks should provide a reliable basis for calculating diffusion- and displacement-based phase transitions in the solid state.