Google Maps/Earth Computer Graphics Algorithms for Model Reduction in Mechanics of Materials

We present an innovative image-based modeling technique, based on Google Earth like algorithms, to effectively resolve intricate material morphology and address the computational complexity associated with heterogeneous materials. This sharp volumetric billboard algorithm stems from a volumetric billboard method, a multi-resolution modeling strategy in computer graphics. In this work, we enhance volumetric billboards through a sharpening filter to reconstruct the statistical information of heterogeneous systems. A hierarchy of microstructures is created for high energy ball milled Ni/Al composites. We analyze the first- and second-order statistics of microstructures, and characterize both macro- and micro-mechanical material responses. Furthermore, we conduct a convergence study of the associated computational results. The statistical and mechanical robustness of data compression is demonstrated through the corresponding error analysis.

D. Yushu, S. Lee and K. Matouš, Sharp volumetric billboard based characterization and modeling of complex 3D Ni/Al high energy ball milled composites, Mechanics of Materials 108 (2017) 93–106.