This $415,754 federal Project Grant award from the National Science Foundation (NSF) Engineering program (CFDA 47.041) will support research and development to advance computational approaches for accurately characterizing the mechanical behavior of critical materials. The research aims to develop generalizable analytical methods for material characterizations with unprecedented accuracy and speed, while accounting for experimental errors and material inhomogeneities. The interdisciplinary effort will involve collaborations with national laboratories and create new channels of communication between academics and practitioners, as well as train a doctoral student in this area. Key outcomes include establishing a global programming epsilon-optimal spatial branching technique, an innovative decomposition-based scheme for data decoupling, and a new nested spatial branching approach for solving constraint-based multi-objective problems. This research is expected to fill important gaps in optimization literature by introducing scalable global programming techniques capable of handling complex non-convex structures, while also advancing the use of data for accurate characterization and prediction of material mechanics behavior.
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