Our research in this area has been focused on quantification and propagation of all sources of uncertainties in a simulation-based design process, as well as decision-making under uncertainty. Current emphases fall into
- metamodeling for simulation-based design,
- model validation and uncertainty quantification, and
- multidisciplinary design optimization under uncertainty.
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We develop computational design methods to support both the design of quasi-random microstructural material systems as well as the design of periodic or aperiodic metamaterial systems. Current topics include:
- microstructure characterization & reconstruction (MCR),
- machine learning of materials behavior,
- multiscale uncertainty quantification in integrated computational materials engineering (ICME),
- data-driven microstructural design,
- topology optimization and metamaterials design, and
- design for additive manufacturing.
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An enterprise-driven decision-based design framework recognizes the substantial role that decisions play in design, as well as the need to synthesize business and engineering models in an enterprise-driven collaborative design environment. Current research focuses are
- network-based customer preference modeling, and
- multilevel decision-based design.
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