Abstract: A method is described for modeling heterogeneous material properties within a geometric model of an object (e.g., within a CAD model). Material functions are defined about material features (i.e., points, surfaces, or areas on or in the model) at which material properties are known, with the material functions each defining the behavior of that feature's material property at locations away from that feature. Combination of the material functions results in a single material function which defines the material properties throughout the geometric model. The resulting material function may then be used in subsequent analyses, such as in computerized behavior analysis of the geometric model. The material function may be constructed such that it meets desired constraints, and has desired smoothness and analytical properties, for ease of use in such subsequent analyses.