Doctor of Philosophy in Civil Engineering- Computational Mechanics
  • 学历文凭

    Ph.D.

  • 专业院系

    计算数学

  • 开学时间

  • 课程时长

  • 课程学费

    汇率提示

国际学生入学条件

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.
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雅思考试总分

6.5

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  • 雅思总分:6.5
  • 托福网考总分:99
  • 托福笔试总分:160
  • 其他语言考试:PTE Academic - 68 or lower.
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课程简介

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.
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关于哥伦比亚大学

哥伦比亚大学的历届毕业生和教职员中累计共有97名诺贝尔奖得奖者,于世界各大学中排名第一。  申请哥伦比亚大学的学生人数在过去10年中翻了一番,最主要的原因只有一个:在所有常青藤盟校的校址中,曼哈顿完胜!哥伦比亚大学放任自己的学生在大苹果城中体验生活,但是,在他们承受不了生活压力时,哥伦比亚大学又会给他们提供避风塘。“One nice feature of the dorms is the view of the downtown skyline or the Hudson River.”  哥伦比亚大学每年会拿出1亿2千万美元用来满足所有大一新生的奖/助学金需求。国际生申请哥伦比亚大学需要提交2门SAT分项成绩。而去年被哥伦比亚大学录取的学生中50%的 SAT总分落在了2140-2330这个区间内。如果你想用ACT申请,请确保你的总分在32以上,另外还要提交writing成绩。

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