Research in Computational Mechanics in the department of Civil Engineering and Engineering Mechanics is led by Professors Fish, Waisman, Giometto and Sun and involves a wide range of topics, for example: Advanced discretization techniques for modeling fracture phenomena of natural or man-made solids subject to a range of loading conditions, e.g. damage and phase field methods, extended finite element methods, and cohesive zone methods. Multiscale and multigrid methods in space and time, e.g. homogenization and concurrent approaches, coupling of atomistic/discrete/continuum systems, dimensional-reduction methods with applications to composite materials, energetic materials, concrete, metals, printed materials and geomaterials such as soil, rock and ice. Solver techniques and analysis of multi-physics problems, e.g. hydraulic and chemo-driven fracture, crystallization induced damage, impact and blast problems, and fluid-structure interaction. Development and validation of turbulence closure models (large-eddy simulation, Reynolds-averaged Navier-Stokes), and design of reduced-order formulations for boundary-layer and canopy flows. Verification and validation, e.g. numerical analysis, optimization, error estimation and error analysis, inverse problems that leverage data from micro-CT images, digital image correlation and other advanced experimental techniques. Stability and material bifurcation of path-dependent solids, e.g. shear banding, brittle and ductile fracture and cataclastic flow. Software development, high-performance computing and adaptive methods.
کمک هزینه تحصیلی
دوره های کارآموزی
هزینه دوره ها یک شاخص است و باید به عنوان راهنما مورد استفاده قرار گیرد گرفتن اطلاعات دقیق عزینه
The basic requirement for admission as a graduate student is the bachelor's degree received from an institution of acceptable standing. Ordinarily, the applicant will have majored in the field in which graduate study is intended, but in certain programs preparation in a related field of engineering or science is acceptable. The applicant will be admitted only if the undergraduate record shows promise of productive and effective graduate work.
The Master of Science (MS) degree is required for admission into the PhD and EngScD degree programs. A student who holds an appropriate bachelor's degree in engineering may apply for admission to either the MS only or MS leading to PhD program. The following materials must accompany the online application for on-campus graduate programs- Transcripts from every post-secondary institution attended Three recommendation letters Official Graduate Record Examination (GRE) General Test Scores Personal statement Resume or Curriculum Vitae Publications (optional) An interview may be requested
There are no minimum test score requirements to apply for admission consideration. However, it may be necessary to improve your English proficiency if you score:
TOEFL internet-based test - 99 or lower. IELTS - 6.5 or lower.
تاریخ ددلاین مشخص نیست با یک مشاور IDP صحبت کنید برای اطلاعات بیشتر
Further information
If you aren't eligible for the above entry requirements, you might ant to explore pathway options at Columbia University. If you want to find out more, speak to our counsellors.