The ConductoDict module computes effective conductivity of porous and composite materials through the following commands:

• Compute Thermal Conductivity calculates the effective (homogenized) thermal conductivity with constituent materials which have isotropic, transverse isotropic or orthotropic conductivity. The input parameters  include the thermal conductivity of the constituent materials, the direction(s) of conduction, and the specific contact resistivity between different materials in contacts when they exist. By solving one partial differential equation per direction of interest, it computes how the spatial distribution of these different heat conduction capacities influences the overall heat conduction capacity of the composite material in the specified direction(s) of conduction.

As output, the computation assigns a single effective heat conduction tensor to the whole data set.

• Compute Electrical Conductivity computes the effective (homogenized) electrical conductivity from the isotropic, transverse isotropic or orthotropic electrical conductivity of the constituent materials.

As illustrated in the figure below, we address the conduction problem within the detailed microstructure (left) to derive an overall effective thermal or electrical conductivity that represents the material as a whole (right).