PhD in Civil Engineering- Computational Mechanics in New York United States | Columbia University

Research in Computational Mechanics within the Civil Engineering and Engineering Mechanics department is directed by Professors Fish, Waisman, Giometto, and Sun, covering diverse topics such as: Innovative discretization approaches for simulating fracture behavior in natural and engineered materials under various loads, including damage models, phase field techniques, extended finite element methods, and cohesive zone methodologies. Multiscale and multigrid strategies spanning spatial and temporal dimensions, such as homogenization techniques, concurrent modeling approaches, integration of atomistic/discrete/continuum systems, and dimensional reduction methods applied to composites, energetic materials, concrete, metals, additive manufacturing materials, and geological substances like soil, rock, and ice. Computational approaches for multiphysics challenges, including hydraulic and chemically-induced fractures, crystallization damage, impact/blast scenarios, and fluid-structure interactions. Creation and testing of turbulence models (large-eddy simulation, RANS) alongside reduced-order formulations for boundary-layer and canopy flows. Verification/validation processes involving numerical analysis, optimization, error assessment, and inverse problems utilizing micro-CT imaging, digital image correlation, and other experimental methods. Investigation of stability and material bifurcation in solids with path-dependent behavior, including shear band formation, brittle/ductile fracture, and cataclastic flow. Development of computational software, high-performance computing solutions, and adaptive numerical methods.