This section presents a summary of the analytical methods available in Material Designer for the homogenization of two-phase composites with ellipsoidal inclusions. Specifically, these methods can be used to predict the thermo-elastic properties of short fiber reinforced composites.

In the following, the volume fraction of the inclusion phase is denoted by ϕ. Phases (constituents) are denoted by superscripts, with m standing for matrix and f for fiber (inclusion more in general). The stiffness tensors of the phases are denoted by and , and indicate their thermal expansion coefficients, while and are the thermal conductivities.