Research Theme
Our research focuses on the development of theoretical and computational models of multiscale, multiphysics problems, with special emphasis on applications involving porous, granular and energetic materials. Our research group focuses on modeling and forecasting of mechanics of materials across different length and time scales. Many of our current and previous projects involve both discovering plausible narratives of physics, mechanisms, correlations and causality of mechanics of materials, as well as converting those abstract understandings into testable hypotheses, validated theories and quantifiable predictions of practical values --- ones that actually bring measurable improvements on the accuracy, robustness and precision on forecasting behaviors of deformable single-phase and multi-phase solids, and in return lead to better engineering solutions.
Our team has rich experience handling a wide spectrum of civil engineering and engineering mechanics problems, ranging from modeling frozen soil, predicting long-term creeping of materials used in nuclear disposal site to modeling impacts and high-strain-rate responses of crystals. We predict how multiphase solids react to diverse influences such as stress, deformation, heat source, presence of chemical species and fluid flows, and how material instabilities such as strain localization, soil liquefaction, and fractures occur and propagate across different spatial and temporal scales.
Our current research at Columbia University encompasses the following interconnected areas:
Our team has rich experience handling a wide spectrum of civil engineering and engineering mechanics problems, ranging from modeling frozen soil, predicting long-term creeping of materials used in nuclear disposal site to modeling impacts and high-strain-rate responses of crystals. We predict how multiphase solids react to diverse influences such as stress, deformation, heat source, presence of chemical species and fluid flows, and how material instabilities such as strain localization, soil liquefaction, and fractures occur and propagate across different spatial and temporal scales.
Our current research at Columbia University encompasses the following interconnected areas:
- Meta-modeling game with deep reinforcement learning for constraint-compatible modelings.
- Applications of knowledge graph for interpretable predictions, generative mathematical logics and adversarial attacks for constitutive laws.
- Non-Euclidean descriptors for microstructural-informed material modelings.
- Micromechanics of porous media and granular physics.
- Computational plasticity for porous and granular materials exposed to extreme environments.
- Concurrent and homogenized-based multiscale multiphysics modeling in various spatial and temporal scales.
- Higher-order continua and the corresponding homogenization theory for porous media.
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