Integration of material composition, microstructure, and mechanical properties with geometry information enables many product development activities, including design, analysis, and manufacturing. In this paper, we propose the modeling of part geometry and microstructure by using a new hierarchical modeling method that utilizes a common geometric model for both macro-scale part geometry and material microstructure. A new surfacelet transform is introduced to model microstructure. The application of image processing methods enables multi-resolution representations of microstructure. Combined with methods from computational materials design, low resolution microstructure representations can be used to compute effective mechanical properties at the macro-scale. Wavelet decomposition was used to generate the low resolution representations. The models and methods are demonstrated with two examples, a simple continuous-fiber-reinforced composite and a nanofiber reinforced polymer material.
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