Computational Modeling of Microstructures

This lecture covers the computational modeling of microstructures, focusing on the rigorous bounds mover concept and the use of statistical measures to create realistic microstructures. The instructor explains the methodology of using multi-point correlation functions to characterize microstructures and generate statistically similar child microstructures for mechanical testing. The lecture also delves into the mechanical behavior of complex materials, the experimental optimization of microstructures guided by computations, and the identification of features driving behavior. Various techniques for microstructure reconstruction and finite element analysis are discussed, along with the virtual testing of materials using digital images. The lecture concludes with a case study on creep in Niobium/Niobium-Silicide composites at high temperatures.