DEGREE Engineering Mechanics, PhD
Doctoral degree in engineering mechanics
As a PhD student in engineering mechanics, you’ll delve deeper into several main areas of the mechanics of materials and astronautics: continuum mechanics, computational mechanics, dynamics and vibration, fluid mechanics, nanomechanics, solid mechanics, and biomechanics. Additionally, you can add breadth to your education with a minor in a number of related fields, including civil and environmental engineering, chemical and biological engineering, electrical and computer engineering, materials science, mechanical engineering, nuclear engineering and engineering physics, physics, geological engineering and geology, mathematics, statistics, and computer science.
At a glance
Engineering physics department
Learn more about what information you need to apply.
_{Please consult the table below for key information about this degree program’s admissions requirements. The program may have more detailed admissions requirements, which can be found below the table or on the program’s website.} _{Graduate admissions is a two-step process between academic programs and the Graduate School. Applicants must meet the minimum requirements of the Graduate School as well as the program(s). Once you have researched the graduate program(s) you are interested in, apply online.} |
Fall Deadline | December 15 |
Spring Deadline | October 1 |
Summer Deadline | December 15 |
GRE (Graduate Record Examinations) | Required.* |
English Proficiency Test | Every applicant whose native language is not English or whose undergraduate instruction was not in English must provide an English proficiency test score and meet the Graduate School minimum requirements (https://grad.wisc.edu/apply/requirements/#english-proficiency). |
Other Test(s) (e.g., GMAT, MCAT) | n/a |
Letters of Recommendation Required | 3 |
* | a) Current UW-Madison NE/EP/EMA undergraduate students are not required to submit GRE scores. b) Due to COVID-19, GRE scores are not required for all applications to Engineering Mechanics graduate programs for the Spring 2022, Summer 2022, and Fall 2022 terms. |
The Graduate School sets minimum requirements for admissions. Academic program admission requirements are often more rigorous than those set by the Graduate School. Please check the program website for details and admissions deadlines.
Tuition
Tuition and segregated fee rates are always listed per semester (not for Fall and Spring combined).
Graduate School Resources
Resources to help you afford graduate study might include assistantships, fellowships, traineeships, and financial aid. Further funding information is available from the Graduate School. Be sure to check with your program for individual policies and restrictions related to funding.
Program Resources
Offers of financial support from the Department, College, and University are in the form of research assistantships (RAs), teaching assistantships (TAs), project assistantships (PAs), and partial or full fellowships. Prospective PhD students that receive such offers will have a minimum five-year guarantee of support. The funding for RAs comes from faculty research grants. Each professor decides on his or her own RA offers, and a portion of the top domestic applicants is invited to visit Madison in order to meet faculty members and tour the department facilities. International applicants must secure an RA, TA, PA, fellowship, or independent funding before admission is final. Funded students are expected to maintain full-time enrollment. See the program website for additional information.
In the Department of Engineering Physics, we strive to design and deploy unique world-class experimental and computational capabilities to translate novel discoveries into transformative technologies. Having a broad range of laboratory facilities and collaborative centers at the right scale for energy and mechanics research is a hallmark of the department. The technologies we develop can solve challenges in energy, health, space, security and many other areas.
Minimum graduate school requirements
Review the Graduate School minimum academic progress and degree requirements, in addition to the program requirements listed below.
Minimum Credit Requirement | 60 credits |
Minimum Residence Credit Requirement | 32 credits |
Minimum Graduate Coursework Requirement | 30 of the required 60 credits must be in graduate-level coursework; courses with the Graduate Level Coursework attribute are identified and searchable in the university’s Course Guide (https://registrar.wisc.edu/course-guide/). In addition, at least 18 of the non-research credits must be in classes having the graduate-level designation. |
Overall Graduate GPA Requirement | 3.00 GPA required. |
Other Grade Requirements | Courses in which grades of BC, C, or below are received cannot be counted toward the degree except as follows: 1) Credits of C will be allowed provided they are balanced by twice as many credits of A or by four times as many credits of AB, 2) Credits of BC will be allowed provided they are balanced by twice as many credits of AB or by an equal number of credits of A. |
Assessments and Examinations | Ph.D. qualifying examination is required of all students. After acceptance of the student’s doctoral plan of study, the student must take an oral preliminary examination. Final oral examination is required at the end of the thesis work. |
Language Requirements | No language requirements. |
Doctoral Minor/Breadth Requirements | There are two minor options available: Minor Option A Students minor in a single department and satisfy the minor requirements of that department. Minor Option B (Distributed Minor) This option requires a minimum of 9 credits in two or more departments outside the major, in related courses selected for their relevance to a particular area of concentration. The following rules apply: 1. Courses typically included on or within the scope of the E M A Qualifying Exam shall not be considered acceptable for the Ph.D. Minor Option B. 2. At least 6 credits must be taken in courses listed in the UW-Madison Guide as "Grad 50%" courses. |
At least 36 of the required 60 credits must be in classes satisfying the following general requirements and mathematics, breadth and depth requirements.
General | ||
All courses must be at the 500-level or above. At least 21 credits must be 600-level and above OR from the following list: | 21 | |
Composite Materials | ||
Fracture Mechanics | ||
Aerodynamics Lab | ||
Flight Dynamics and Control | ||
Experimental Vibration and Dynamic System Analysis | ||
Heterogeneous and Multiphase Materials | ||
Engineering Analysis I | ||
Engineering Analysis II | ||
Experimental Mechanics | ||
Mathematics Requirements | 6 | |
At least 6 credits (2 courses) must be in applied mathematics from the following list: | ||
Engineering Analysis I | ||
Engineering Analysis II | ||
Ordinary Differential Equations | ||
Analysis I | ||
Analysis II | ||
Linear Algebra II | ||
Analysis of Partial Differential Equations | ||
Complex Analysis | ||
Methods of Applied Mathematics 1 | ||
Methods of Applied Mathematics-2 | ||
Methods of Computational Mathematics I | ||
Methods of Computational Mathematics II | ||
Breadth Requirement | ||
As part of their M.S. or Ph.D., students must have taken courses from at least 2 of the 3 areas defined below. For each of the 2 areas, the student must have taken at least 2 courses. The courses must be at a similar level to those listed below. | ||
Solid Mechanics | ||
E M A 506 | Advanced Mechanics of Materials I | 3 |
E M A/CIV ENGR/M E 508 | Composite Materials | 3 |
E M A 519 | Fracture Mechanics | 3 |
E M A/M S & E 541 | Heterogeneous and Multiphase Materials | 3 |
E M A/M E 570 | Experimental Mechanics | 3 |
E M A 605 | Introduction to Finite Elements | 3 |
E M A 611 | Advanced Mechanical Testing of Materials | 3 |
E M A/E P 615 | Micro- and Nanoscale Mechanics | 3 |
E M A 622 | Mechanics of Continua | 3 |
E M A 630 | Viscoelastic Solids | 3 |
E M A 700 | Theory of Elasticity | 3 |
E M A/M E 703 | Plasticity Theory and Physics | 3 |
E M A 705 | Advanced Topics in Finite Elements | 3 |
E M A/M E 706 | Plates, Shells and Pressure Vessels | 3 |
E M A/M E 708 | Advanced Composite Materials | 3 |
E M A/M E 722 | Introduction to Polymer Rheology | 3 |
M E/B M E 603 | Topics in Bio-Medical Engineering (Topic: FE for Biomechanics) | 1-3 |
M E 753 | Friction, Lubrication and Wear | 3 |
Fluid Mechanics | ||
E M A 521 | Aerodynamics | 3 |
E M A 622 | Mechanics of Continua | 3 |
M E 563 | Intermediate Fluid Dynamics | 3 |
M E 572 | Intermediate Gas Dynamics | 3 |
M E 573 | Computational Fluid Dynamics | 3 |
M E 769 | Combustion Processes | 3 |
M E 770 | Advanced Experimental Instrumentation | 3 |
M E 774 | Chem Kinetics of Combust Systems | 3 |
M E/CIV ENGR/E M A 775 | Turbulent Heat and Momentum Transfer | 3 |
MATH 705 | Mathematical Fluid Dynamics | 3 |
Dynamics | ||
E M A 523 | Flight Dynamics and Control | 3 |
E M A/M E 540 | Experimental Vibration and Dynamic System Analysis | 3 |
E M A 542 | Advanced Dynamics | 3 |
E M A 545 | Mechanical Vibrations | 3 |
E M A/ASTRON 550 | Astrodynamics | 3 |
E M A 610 | Structural Finite Element Model Validation | 3 |
E M A 642 | Satellite Dynamics | 3 |
E M A 742 | Theory and Applications in Advanced Dynamics | 3 |
E M A 745 | Advanced Methods in Structural Dynamics | 3 |
E M A 747 | Nonlinear and Random Mechanical Vibrations | 3 |
M E/E C E 577 | Automatic Controls Laboratory | 4 |
M E 740 | Advanced Vibrations | 3 |
M E 747 | Advanced Computer Control of Machines and Processes | 3 |
M E 748 | Optimum Design of Mechanical Elements and Systems | 3 |
Depth Requirement | 12 | |
At least 4 courses (12 credits) must be 700-level or above in mechanics, applied mathematics, or computer science. At least 2 of the courses (6 credits) must be from List 1 (below), and the remaining 2 courses (6 credits) may be from List 1 or List 2. | ||
List 1 | 6-12 | |
E M A 601 Special Topics courses may only be counted as 700-level if designated as such by the instructor. | ||
Microhydrodynamics, Brownian Motion, and Complex Fluids | ||
Engineering Properties of Soils | ||
Soil Dynamics | ||
Mathematical Fluid Dynamics | ||
Advanced Vibrations | ||
Dynamics of Controlled Systems | ||
Advanced Computer Control of Machines and Processes | ||
Optimum Design of Mechanical Elements and Systems | ||
Advanced Computational Dynamics | ||
Friction, Lubrication and Wear | ||
Combustion Processes | ||
Advanced Experimental Instrumentation | ||
Chem Kinetics of Combust Systems | ||
Turbulent Heat and Momentum Transfer | ||
List 2 | 0-6 | |
Methods of Computational Mathematics I | ||
Methods of Computational Mathematics II | ||
Computational Methods for Large Sparse Systems | ||
Machine Learning | ||
Linear Systems | ||
Optimal Systems | ||
Mathematical Foundations of Machine Learning | ||
Nonlinear Dynamics, Bifurcations and Chaos | ||
Theoretical Foundations of Machine Learning | ||
Methods of Applied Mathematics 1 | ||
Methods of Applied Mathematics-2 | ||
Advanced Materials Processing and Manufacturing | ||
Modeling and Simulation in Polymer Processing | ||
Advanced Robotics | ||
Solid Modeling | ||
Topics in Thermodynamics | ||
Advanced Heat Transfer I-Conduction | ||
Structural Analysis of Materials | ||
Imperfections and Mechanical Properties | ||
Molecular Dynamics and Monte Carlo Simulations in Materials Science | ||
Theoretical Physics-Dynamics | ||
Statistical Mechanics | ||
Theoretical Physics-Electrodynamics | ||
Quantum Mechanics | ||
Quantum Mechanics | ||
Advanced Solid State Physics | ||
Special Topics in Theoretical Physics (when taught as Nanostructures in Science and Technology) |
It is acceptable for students who earned an M.S. degree in Engineering Mechanics at UW-Madison to use coursework completed while in the M.S. degree program to meet the requirements above.
Graduate Student Services
emgradadmission@engr.wisc.edu
3182 Mechanical Engineering
1513 University Ave., Madison, WI 53706
Carl Sovinec, Director of Graduate Studies
csovinec@wisc.edu